16.032 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * [simplify]: Sending expressions to egg_math: (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)) 0.026 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.027 * * [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 ) 0.040 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.048 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.074 * * [simplify]: iteration 11 : 3197 enodes (cost 4 ) 0.296 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.299 * * [progress]: iteration 1 / 4 0.299 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.307 * * * [progress]: generating rewritten candidates 0.307 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.339 * [backup-simplify]: Simplify (* 3 (* y y)) into (* 3 (pow y 2)) 0.339 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.339 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [backup-simplify]: Simplify 3 into 3 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [backup-simplify]: Simplify 3 into 3 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (* 3 1) into 3 0.340 * [backup-simplify]: Simplify 3 into 3 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.350 * [backup-simplify]: Simplify (* 3 (* (/ 1 y) (/ 1 y))) into (/ 3 (pow y 2)) 0.350 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.350 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [backup-simplify]: Simplify 3 into 3 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 3 1) into 3 0.351 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [backup-simplify]: Simplify 3 into 3 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 3 1) into 3 0.351 * [backup-simplify]: Simplify 3 into 3 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.358 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 3 (pow y 2)) 0.358 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.358 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of 3 in y 0.358 * [backup-simplify]: Simplify 3 into 3 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 3 1) into 3 0.359 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of 3 in y 0.359 * [backup-simplify]: Simplify 3 into 3 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ 3 1) into 3 0.360 * [backup-simplify]: Simplify 3 into 3 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.367 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.367 * [backup-simplify]: Simplify (+ (* 3 (* y y)) (* x x)) into (+ (pow x 2) (* 3 (pow y 2))) 0.367 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of 3 in x 0.367 * [backup-simplify]: Simplify 3 into 3 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 3 in y 0.367 * [backup-simplify]: Simplify 3 into 3 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.367 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of 3 in y 0.367 * [backup-simplify]: Simplify 3 into 3 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.367 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [taylor]: Taking taylor expansion of 0 in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 3 1) into 3 0.369 * [backup-simplify]: Simplify (+ 0 3) into 3 0.369 * [taylor]: Taking taylor expansion of 3 in x 0.369 * [backup-simplify]: Simplify 3 into 3 0.369 * [backup-simplify]: Simplify 3 into 3 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.374 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.374 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.375 * [taylor]: Taking taylor expansion of 3 in x 0.375 * [backup-simplify]: Simplify 3 into 3 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [backup-simplify]: Simplify y into y 0.375 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [backup-simplify]: Simplify x into x 0.375 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.375 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of 3 in y 0.375 * [backup-simplify]: Simplify 3 into 3 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [backup-simplify]: Simplify x into x 0.376 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.376 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 3 in y 0.376 * [backup-simplify]: Simplify 3 into 3 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (* 3 1) into 3 0.377 * [backup-simplify]: Simplify (+ 0 3) into 3 0.377 * [taylor]: Taking taylor expansion of 3 in x 0.377 * [backup-simplify]: Simplify 3 into 3 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify 3 into 3 0.381 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.388 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.388 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of 3 in x 0.389 * [backup-simplify]: Simplify 3 into 3 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [backup-simplify]: Simplify y into y 0.389 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [backup-simplify]: Simplify x into x 0.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.389 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of 3 in y 0.389 * [backup-simplify]: Simplify 3 into 3 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [backup-simplify]: Simplify x into x 0.390 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.390 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of 3 in y 0.390 * [backup-simplify]: Simplify 3 into 3 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (* 3 1) into 3 0.391 * [backup-simplify]: Simplify (+ 0 3) into 3 0.391 * [taylor]: Taking taylor expansion of 3 in x 0.391 * [backup-simplify]: Simplify 3 into 3 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify 3 into 3 0.395 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in x 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.402 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying: (* 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))) 0.403 * [simplify]: Sending expressions to egg_math: (* 3 (* h0 h0)) (* 3 (* h0 h0)) (+ (log 3) (+ (log h0) (log h0))) (+ (log 3) (log (* h0 h0))) (log (* 3 (* h0 h0))) (exp (* 3 (* h0 h0))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* (* (* 3 3) 3) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (* 3 (* h0 h0))) (cbrt (* 3 (* h0 h0)))) (cbrt (* 3 (* h0 h0))) (* (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (* 3 (* h0 h0))) (sqrt (* 3 (* h0 h0))) (sqrt (* 3 (* h0 h0))) (* (sqrt 3) h0) (* (sqrt 3) h0) (* 3 h0) (* (cbrt 3) (* h0 h0)) (* (sqrt 3) (* h0 h0)) (* 3 (* h0 h0)) (* (exp (* 3 (* h0 h0))) (exp (* h1 h1))) (log (+ (* 3 (* h0 h0)) (* h1 h1))) (exp (+ (* 3 (* h0 h0)) (* h1 h1))) (* (cbrt (+ (* 3 (* h0 h0)) (* h1 h1))) (cbrt (+ (* 3 (* h0 h0)) (* h1 h1)))) (cbrt (+ (* 3 (* h0 h0)) (* h1 h1))) (* (* (+ (* 3 (* h0 h0)) (* h1 h1)) (+ (* 3 (* h0 h0)) (* h1 h1))) (+ (* 3 (* h0 h0)) (* h1 h1))) (sqrt (+ (* 3 (* h0 h0)) (* h1 h1))) (sqrt (+ (* 3 (* h0 h0)) (* h1 h1))) (+ (pow (* 3 (* h0 h0)) 3) (pow (* h1 h1) 3)) (+ (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (- (* (* h1 h1) (* h1 h1)) (* (* 3 (* h0 h0)) (* h1 h1)))) (- (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (* (* h1 h1) (* h1 h1))) (- (* 3 (* h0 h0)) (* h1 h1)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) 0.406 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.410 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.421 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.474 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.475 * * * [progress]: adding candidates to table 0.527 * * [progress]: iteration 2 / 4 0.527 * * * [progress]: picking best candidate 0.537 * * * * [pick]: Picked # 0.537 * * * [progress]: localizing error 0.545 * * * [progress]: generating rewritten candidates 0.545 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.561 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.578 * * * [progress]: generating series expansions 0.578 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.578 * [backup-simplify]: Simplify (* (* 3 y) y) into (* 3 (pow y 2)) 0.578 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.578 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of 3 in y 0.578 * [backup-simplify]: Simplify 3 into 3 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of 3 in y 0.578 * [backup-simplify]: Simplify 3 into 3 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (* 3 1) into 3 0.579 * [backup-simplify]: Simplify 3 into 3 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.586 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.586 * [backup-simplify]: Simplify (* (* 3 (/ 1 y)) (/ 1 y)) into (/ 3 (pow y 2)) 0.586 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.586 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of 3 in y 0.586 * [backup-simplify]: Simplify 3 into 3 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ 3 1) into 3 0.587 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of 3 in y 0.587 * [backup-simplify]: Simplify 3 into 3 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 3 1) into 3 0.588 * [backup-simplify]: Simplify 3 into 3 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.595 * [backup-simplify]: Simplify (* (* 3 (/ 1 (- y))) (/ 1 (- y))) into (/ 3 (pow y 2)) 0.595 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.595 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of 3 in y 0.595 * [backup-simplify]: Simplify 3 into 3 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.595 * [backup-simplify]: Simplify (/ 3 1) into 3 0.595 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of 3 in y 0.595 * [backup-simplify]: Simplify 3 into 3 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* 1 1) into 1 0.596 * [backup-simplify]: Simplify (/ 3 1) into 3 0.596 * [backup-simplify]: Simplify 3 into 3 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.603 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.603 * [backup-simplify]: Simplify (+ (* (* 3 y) y) (* x x)) into (+ (pow x 2) (* 3 (pow y 2))) 0.603 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.603 * [taylor]: Taking taylor expansion of 3 in x 0.603 * [backup-simplify]: Simplify 3 into 3 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [backup-simplify]: Simplify y into y 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [backup-simplify]: Simplify x into x 0.603 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of 3 in y 0.603 * [backup-simplify]: Simplify 3 into 3 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [backup-simplify]: Simplify x into x 0.603 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.603 * [taylor]: Taking taylor expansion of 3 in y 0.603 * [backup-simplify]: Simplify 3 into 3 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.603 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (* 3 1) into 3 0.605 * [backup-simplify]: Simplify (+ 0 3) into 3 0.605 * [taylor]: Taking taylor expansion of 3 in x 0.605 * [backup-simplify]: Simplify 3 into 3 0.605 * [backup-simplify]: Simplify 3 into 3 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in x 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.609 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 y)) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.609 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.610 * [taylor]: Taking taylor expansion of 3 in x 0.610 * [backup-simplify]: Simplify 3 into 3 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [backup-simplify]: Simplify y into y 0.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [backup-simplify]: Simplify x into x 0.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.610 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.610 * [taylor]: Taking taylor expansion of 3 in y 0.610 * [backup-simplify]: Simplify 3 into 3 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (/ 1 1) into 1 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [backup-simplify]: Simplify x into x 0.614 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.614 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.614 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of 3 in y 0.614 * [backup-simplify]: Simplify 3 into 3 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [backup-simplify]: Simplify (* 3 1) into 3 0.615 * [backup-simplify]: Simplify (+ 0 3) into 3 0.615 * [taylor]: Taking taylor expansion of 3 in x 0.615 * [backup-simplify]: Simplify 3 into 3 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify 3 into 3 0.619 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [taylor]: Taking taylor expansion of 0 in x 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.626 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 (- y))) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.626 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of 3 in x 0.627 * [backup-simplify]: Simplify 3 into 3 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [backup-simplify]: Simplify x into x 0.627 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.627 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of 3 in y 0.627 * [backup-simplify]: Simplify 3 into 3 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [backup-simplify]: Simplify x into x 0.628 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.628 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.628 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.628 * [taylor]: Taking taylor expansion of 3 in y 0.628 * [backup-simplify]: Simplify 3 into 3 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [backup-simplify]: Simplify (* 3 1) into 3 0.629 * [backup-simplify]: Simplify (+ 0 3) into 3 0.629 * [taylor]: Taking taylor expansion of 3 in x 0.629 * [backup-simplify]: Simplify 3 into 3 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [taylor]: Taking taylor expansion of 0 in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify 3 into 3 0.633 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.639 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying: (* (* 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))) 0.640 * [simplify]: Sending expressions to egg_math: (* (* 3 h0) h0) (* (* 3 h0) h0) (+ (+ (log 3) (log h0)) (log h0)) (+ (log (* 3 h0)) (log h0)) (log (* (* 3 h0) h0)) (exp (* (* 3 h0) h0)) (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* h0 h0) h0)) (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* h0 h0) h0)) (* (cbrt (* (* 3 h0) h0)) (cbrt (* (* 3 h0) h0))) (cbrt (* (* 3 h0) h0)) (* (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (* (* 3 h0) h0)) (sqrt (* (* 3 h0) h0)) (sqrt (* (* 3 h0) h0)) (* (* 3 h0) (* (cbrt h0) (cbrt h0))) (* (* 3 h0) (sqrt h0)) (* (* 3 h0) 1) (* h0 h0) (* (exp (* (* 3 h0) h0)) (exp (* h1 h1))) (log (+ (* (* 3 h0) h0) (* h1 h1))) (exp (+ (* (* 3 h0) h0) (* h1 h1))) (* (cbrt (+ (* (* 3 h0) h0) (* h1 h1))) (cbrt (+ (* (* 3 h0) h0) (* h1 h1)))) (cbrt (+ (* (* 3 h0) h0) (* h1 h1))) (* (* (+ (* (* 3 h0) h0) (* h1 h1)) (+ (* (* 3 h0) h0) (* h1 h1))) (+ (* (* 3 h0) h0) (* h1 h1))) (sqrt (+ (* (* 3 h0) h0) (* h1 h1))) (sqrt (+ (* (* 3 h0) h0) (* h1 h1))) (+ (pow (* (* 3 h0) h0) 3) (pow (* h1 h1) 3)) (+ (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (- (* (* h1 h1) (* h1 h1)) (* (* (* 3 h0) h0) (* h1 h1)))) (- (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (* (* h1 h1) (* h1 h1))) (- (* (* 3 h0) h0) (* h1 h1)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) 0.643 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.648 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.667 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.761 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.763 * * * [progress]: adding candidates to table 0.815 * * [progress]: iteration 3 / 4 0.816 * * * [progress]: picking best candidate 0.826 * * * * [pick]: Picked # 0.826 * * * [progress]: localizing error 0.833 * * * [progress]: generating rewritten candidates 0.833 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.942 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.972 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.980 * * * [progress]: generating series expansions 0.980 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.980 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.980 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [backup-simplify]: Simplify x into x 0.980 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of 3 in y 0.980 * [backup-simplify]: Simplify 3 into 3 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of 3 in x 0.981 * [backup-simplify]: Simplify 3 into 3 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of 3 in x 0.981 * [backup-simplify]: Simplify 3 into 3 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [backup-simplify]: Simplify y into y 0.981 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.981 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.981 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.981 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.981 * [taylor]: Taking taylor expansion of 3 in y 0.981 * [backup-simplify]: Simplify 3 into 3 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.981 * [taylor]: Taking taylor expansion of y in y 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.982 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.984 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [taylor]: Taking taylor expansion of 1 in y 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (* 3 1) into 3 0.984 * [backup-simplify]: Simplify 3 into 3 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.990 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.990 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [backup-simplify]: Simplify x into x 0.990 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.990 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.990 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of 3 in y 0.990 * [backup-simplify]: Simplify 3 into 3 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (* 1 1) into 1 0.991 * [backup-simplify]: Simplify (/ 1 1) into 1 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (* 1 1) into 1 0.991 * [backup-simplify]: Simplify (/ 1 1) into 1 0.991 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.991 * [taylor]: Taking taylor expansion of 3 in x 0.991 * [backup-simplify]: Simplify 3 into 3 0.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [backup-simplify]: Simplify y into y 0.992 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.992 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.992 * [taylor]: Taking taylor expansion of 3 in x 0.992 * [backup-simplify]: Simplify 3 into 3 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [backup-simplify]: Simplify y into y 0.992 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.992 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.993 * [backup-simplify]: Simplify (+ 1 0) into 1 0.993 * [taylor]: Taking taylor expansion of 1 in y 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.995 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.995 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.995 * [taylor]: Taking taylor expansion of 3 in y 0.995 * [backup-simplify]: Simplify 3 into 3 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.995 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (* 3 1) into 3 0.996 * [backup-simplify]: Simplify 3 into 3 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.001 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.001 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.004 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 1.004 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.004 * [taylor]: Taking taylor expansion of x in y 1.004 * [backup-simplify]: Simplify x into x 1.004 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.004 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.004 * [taylor]: Taking taylor expansion of 3 in y 1.004 * [backup-simplify]: Simplify 3 into 3 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.005 * [taylor]: Taking taylor expansion of 3 in x 1.005 * [backup-simplify]: Simplify 3 into 3 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.005 * [backup-simplify]: Simplify y into y 1.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.005 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.006 * [backup-simplify]: Simplify (/ 1 1) into 1 1.006 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.006 * [taylor]: Taking taylor expansion of 3 in x 1.006 * [backup-simplify]: Simplify 3 into 3 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [backup-simplify]: Simplify y into y 1.006 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.006 * [taylor]: Taking taylor expansion of 1 in y 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.009 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 1.009 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.009 * [taylor]: Taking taylor expansion of 3 in y 1.009 * [backup-simplify]: Simplify 3 into 3 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 1 into 1 1.009 * [backup-simplify]: Simplify (* 1 1) into 1 1.009 * [backup-simplify]: Simplify (/ 1 1) into 1 1.009 * [backup-simplify]: Simplify (* 3 1) into 3 1.010 * [backup-simplify]: Simplify 3 into 3 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [taylor]: Taking taylor expansion of 0 in y 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.017 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.017 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 1.017 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [backup-simplify]: Simplify x into x 1.018 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of 2 in y 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.018 * [taylor]: Taking taylor expansion of 2 in x 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [backup-simplify]: Simplify y into y 1.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.018 * [taylor]: Taking taylor expansion of 2 in x 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [backup-simplify]: Simplify y into y 1.018 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.018 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.018 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.018 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.018 * [taylor]: Taking taylor expansion of 2 in y 1.018 * [backup-simplify]: Simplify 2 into 2 1.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.020 * [backup-simplify]: Simplify (+ 1 0) into 1 1.020 * [taylor]: Taking taylor expansion of 1 in y 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.021 * [backup-simplify]: Simplify (* 2 1) into 2 1.021 * [backup-simplify]: Simplify 2 into 2 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.026 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.026 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.026 * [taylor]: Taking taylor expansion of x in y 1.026 * [backup-simplify]: Simplify x into x 1.026 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.027 * [taylor]: Taking taylor expansion of 2 in y 1.027 * [backup-simplify]: Simplify 2 into 2 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of 2 in x 1.028 * [backup-simplify]: Simplify 2 into 2 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [backup-simplify]: Simplify y into y 1.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.028 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of 2 in x 1.028 * [backup-simplify]: Simplify 2 into 2 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [backup-simplify]: Simplify y into y 1.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.029 * [backup-simplify]: Simplify (+ 1 0) into 1 1.029 * [taylor]: Taking taylor expansion of 1 in y 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in y 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.031 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.031 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.031 * [taylor]: Taking taylor expansion of 2 in y 1.031 * [backup-simplify]: Simplify 2 into 2 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (* 1 1) into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (* 2 1) into 2 1.032 * [backup-simplify]: Simplify 2 into 2 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.040 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.040 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.040 * [taylor]: Taking taylor expansion of x in y 1.040 * [backup-simplify]: Simplify x into x 1.040 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.040 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.040 * [taylor]: Taking taylor expansion of 2 in y 1.040 * [backup-simplify]: Simplify 2 into 2 1.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (* 1 1) into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.041 * [taylor]: Taking taylor expansion of 2 in x 1.041 * [backup-simplify]: Simplify 2 into 2 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.042 * [taylor]: Taking taylor expansion of 2 in x 1.042 * [backup-simplify]: Simplify 2 into 2 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.043 * [backup-simplify]: Simplify (+ 1 0) into 1 1.043 * [taylor]: Taking taylor expansion of 1 in y 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.045 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.045 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.045 * [taylor]: Taking taylor expansion of 2 in y 1.045 * [backup-simplify]: Simplify 2 into 2 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [backup-simplify]: Simplify (* 2 1) into 2 1.046 * [backup-simplify]: Simplify 2 into 2 1.046 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.054 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.054 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.054 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.054 * [taylor]: Taking taylor expansion of x in y 1.054 * [backup-simplify]: Simplify x into x 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [backup-simplify]: Simplify y into y 1.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.054 * [taylor]: Taking taylor expansion of y in x 1.054 * [backup-simplify]: Simplify y into y 1.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.054 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.054 * [taylor]: Taking taylor expansion of y in y 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (* 1 1) into 1 1.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.055 * [backup-simplify]: Simplify (+ 1 0) into 1 1.055 * [taylor]: Taking taylor expansion of 1 in y 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (* 1 1) into 1 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [taylor]: Taking taylor expansion of 0 in y 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.063 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.063 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.063 * [taylor]: Taking taylor expansion of x in y 1.063 * [backup-simplify]: Simplify x into x 1.063 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (/ 1 1) into 1 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 1 into 1 1.065 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify (/ 1 1) into 1 1.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.065 * [taylor]: Taking taylor expansion of y in x 1.065 * [backup-simplify]: Simplify y into y 1.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.066 * [taylor]: Taking taylor expansion of 1 in y 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [taylor]: Taking taylor expansion of 0 in y 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (/ 1 1) into 1 1.068 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.074 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [backup-simplify]: Simplify x into x 1.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [backup-simplify]: Simplify y into y 1.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (* 1 1) into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [backup-simplify]: Simplify y into y 1.077 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.077 * [backup-simplify]: Simplify (+ 1 0) into 1 1.077 * [taylor]: Taking taylor expansion of 1 in y 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.085 * * * [progress]: simplifying candidates 1.086 * [simplify]: Simplifying: (* (* (* (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))) (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)) (* (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)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.086 * [simplify]: Sending expressions to egg_math: (* (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h1 h1))) (exp (* h1 h1))) (* (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h1 h1))) (exp (* h1 h1))) (* (exp (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (exp (* h1 h1))) (log (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (exp (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (* (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))) (cbrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (* (* (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)) (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1))) (+ (pow (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) 3) (pow (* h1 h1) 3)) (+ (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)))) (- (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* (* h1 h1) (* h1 h1))) (- (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (* h1 h1)) (+ (* h1 h1) (* h1 h1)) (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h1 h1))) (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h1 h1))) (log (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (exp (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h1 h1) 3)) (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h1 h1) (* h1 h1)) (* (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h1 h1) (* h1 h1))) (- (+ (* h0 h0) (* h1 h1)) (* h1 h1)) (+ (* h1 h1) (* h1 h1)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (+ (pow h0 2) (* 3 (pow h1 2))) (+ (pow h0 2) (* 3 (pow h1 2))) (+ (pow h0 2) (* 3 (pow h1 2))) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.090 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 1.096 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 1.115 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 1.215 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 1.217 * * * [progress]: adding candidates to table 1.307 * * [progress]: iteration 4 / 4 1.308 * * * [progress]: picking best candidate 1.312 * * * * [pick]: Picked # 1.312 * * * [progress]: localizing error 1.322 * * * [progress]: generating rewritten candidates 1.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.351 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.382 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.514 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.569 * * * [progress]: generating series expansions 1.569 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.569 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1.569 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.569 * [taylor]: Taking taylor expansion of x in y 1.569 * [backup-simplify]: Simplify x into x 1.569 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.569 * [taylor]: Taking taylor expansion of 2 in y 1.569 * [backup-simplify]: Simplify 2 into 2 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.569 * [taylor]: Taking taylor expansion of y in y 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.569 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.569 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.569 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of 2 in x 1.570 * [backup-simplify]: Simplify 2 into 2 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.570 * [taylor]: Taking taylor expansion of y in x 1.570 * [backup-simplify]: Simplify y into y 1.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.570 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.571 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.571 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.571 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.571 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.572 * [taylor]: Taking taylor expansion of 2 in x 1.572 * [backup-simplify]: Simplify 2 into 2 1.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.572 * [taylor]: Taking taylor expansion of y in x 1.572 * [backup-simplify]: Simplify y into y 1.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.572 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.572 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.572 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.572 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.572 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.573 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.573 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.573 * [taylor]: Taking taylor expansion of 2 in y 1.573 * [backup-simplify]: Simplify 2 into 2 1.573 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.574 * [taylor]: Taking taylor expansion of y in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.576 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.576 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.577 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 1.578 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.578 * [taylor]: Taking taylor expansion of 1/2 in y 1.578 * [backup-simplify]: Simplify 1/2 into 1/2 1.578 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.578 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.578 * [taylor]: Taking taylor expansion of 2 in y 1.578 * [backup-simplify]: Simplify 2 into 2 1.579 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.579 * [taylor]: Taking taylor expansion of y in y 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.581 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 1.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.582 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.584 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 1.589 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 1.589 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [backup-simplify]: Simplify x into x 1.590 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.590 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.590 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.590 * [taylor]: Taking taylor expansion of 2 in y 1.590 * [backup-simplify]: Simplify 2 into 2 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.590 * [taylor]: Taking taylor expansion of y in y 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (* 2 1) into 2 1.591 * [backup-simplify]: Simplify (+ 0 2) into 2 1.591 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.593 * [taylor]: Taking taylor expansion of 2 in x 1.593 * [backup-simplify]: Simplify 2 into 2 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.593 * [taylor]: Taking taylor expansion of y in x 1.593 * [backup-simplify]: Simplify y into y 1.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [backup-simplify]: Simplify (sqrt 1) into 1 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (* 1 1) into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.596 * [taylor]: Taking taylor expansion of 2 in x 1.596 * [backup-simplify]: Simplify 2 into 2 1.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [backup-simplify]: Simplify y into y 1.596 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.596 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.597 * [backup-simplify]: Simplify (+ 1 0) into 1 1.597 * [backup-simplify]: Simplify (sqrt 1) into 1 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.598 * [taylor]: Taking taylor expansion of 1 in y 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.600 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.600 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.600 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.600 * [taylor]: Taking taylor expansion of y in y 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.604 * [taylor]: Taking taylor expansion of 0 in y 1.604 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.606 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 1.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [backup-simplify]: Simplify x into x 1.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.606 * [taylor]: Taking taylor expansion of 2 in y 1.606 * [backup-simplify]: Simplify 2 into 2 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.606 * [taylor]: Taking taylor expansion of y in y 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [backup-simplify]: Simplify (* 2 1) into 2 1.607 * [backup-simplify]: Simplify (+ 0 2) into 2 1.607 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.610 * [taylor]: Taking taylor expansion of 2 in x 1.610 * [backup-simplify]: Simplify 2 into 2 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.610 * [taylor]: Taking taylor expansion of y in x 1.610 * [backup-simplify]: Simplify y into y 1.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.610 * [backup-simplify]: Simplify (+ 1 0) into 1 1.610 * [backup-simplify]: Simplify (sqrt 1) into 1 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1 1) into 1 1.612 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.612 * [taylor]: Taking taylor expansion of 2 in x 1.612 * [backup-simplify]: Simplify 2 into 2 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.612 * [taylor]: Taking taylor expansion of y in x 1.612 * [backup-simplify]: Simplify y into y 1.612 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.613 * [backup-simplify]: Simplify (+ 1 0) into 1 1.613 * [backup-simplify]: Simplify (sqrt 1) into 1 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.615 * [taylor]: Taking taylor expansion of 1 in y 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of 0 in y 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.616 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.617 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.617 * [taylor]: Taking taylor expansion of y in y 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.625 * [taylor]: Taking taylor expansion of 0 in y 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.626 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.626 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 1.626 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 1.626 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.626 * [taylor]: Taking taylor expansion of x in y 1.626 * [backup-simplify]: Simplify x into x 1.626 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.626 * [taylor]: Taking taylor expansion of 2 in y 1.626 * [backup-simplify]: Simplify 2 into 2 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.626 * [taylor]: Taking taylor expansion of y in y 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.627 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.627 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.627 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.627 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.627 * [taylor]: Taking taylor expansion of 2 in x 1.627 * [backup-simplify]: Simplify 2 into 2 1.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.628 * [taylor]: Taking taylor expansion of y in x 1.628 * [backup-simplify]: Simplify y into y 1.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.628 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.628 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.628 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.628 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.628 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 1.629 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.629 * [taylor]: Taking taylor expansion of 2 in x 1.629 * [backup-simplify]: Simplify 2 into 2 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.629 * [taylor]: Taking taylor expansion of y in x 1.629 * [backup-simplify]: Simplify y into y 1.629 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.629 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.629 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.629 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 1.629 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.630 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 1.630 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.630 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.630 * [taylor]: Taking taylor expansion of 2 in y 1.630 * [backup-simplify]: Simplify 2 into 2 1.630 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.631 * [taylor]: Taking taylor expansion of y in y 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [taylor]: Taking taylor expansion of 0 in y 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.633 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.634 * [backup-simplify]: Simplify (+ 1 0) into 1 1.635 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 1.635 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 1.635 * [taylor]: Taking taylor expansion of 1/2 in y 1.635 * [backup-simplify]: Simplify 1/2 into 1/2 1.635 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 1.635 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.635 * [taylor]: Taking taylor expansion of 2 in y 1.635 * [backup-simplify]: Simplify 2 into 2 1.635 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.635 * [taylor]: Taking taylor expansion of y in y 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 1.637 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1.637 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 1.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.639 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.644 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 1.646 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 1.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.646 * [taylor]: Taking taylor expansion of x in y 1.646 * [backup-simplify]: Simplify x into x 1.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.646 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.646 * [taylor]: Taking taylor expansion of 2 in y 1.646 * [backup-simplify]: Simplify 2 into 2 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (* 2 1) into 2 1.647 * [backup-simplify]: Simplify (+ 0 2) into 2 1.647 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.649 * [taylor]: Taking taylor expansion of 2 in x 1.650 * [backup-simplify]: Simplify 2 into 2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.650 * [taylor]: Taking taylor expansion of y in x 1.650 * [backup-simplify]: Simplify y into y 1.650 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.650 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.650 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (sqrt 1) into 1 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (/ 1 1) into 1 1.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.652 * [taylor]: Taking taylor expansion of 2 in x 1.652 * [backup-simplify]: Simplify 2 into 2 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.652 * [backup-simplify]: Simplify y into y 1.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.653 * [backup-simplify]: Simplify (+ 1 0) into 1 1.653 * [backup-simplify]: Simplify (sqrt 1) into 1 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.654 * [taylor]: Taking taylor expansion of 1 in y 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [taylor]: Taking taylor expansion of 0 in y 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.656 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.656 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.657 * [taylor]: Taking taylor expansion of y in y 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in y 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.662 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 1.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.662 * [taylor]: Taking taylor expansion of x in y 1.662 * [backup-simplify]: Simplify x into x 1.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.662 * [taylor]: Taking taylor expansion of 2 in y 1.662 * [backup-simplify]: Simplify 2 into 2 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (* 2 1) into 2 1.663 * [backup-simplify]: Simplify (+ 0 2) into 2 1.663 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.666 * [taylor]: Taking taylor expansion of 2 in x 1.666 * [backup-simplify]: Simplify 2 into 2 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.666 * [taylor]: Taking taylor expansion of y in x 1.666 * [backup-simplify]: Simplify y into y 1.666 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.666 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.666 * [backup-simplify]: Simplify (+ 1 0) into 1 1.666 * [backup-simplify]: Simplify (sqrt 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.668 * [taylor]: Taking taylor expansion of 2 in x 1.668 * [backup-simplify]: Simplify 2 into 2 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.668 * [taylor]: Taking taylor expansion of y in x 1.668 * [backup-simplify]: Simplify y into y 1.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.669 * [backup-simplify]: Simplify (sqrt 1) into 1 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.670 * [taylor]: Taking taylor expansion of 1 in y 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of 0 in y 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.672 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.673 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 1.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.673 * [taylor]: Taking taylor expansion of y in y 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 1.676 * [taylor]: Taking taylor expansion of 0 in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.678 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) into (+ (pow x 2) (* 2 (pow y 2))) 1.678 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.678 * [taylor]: Taking taylor expansion of x in y 1.678 * [backup-simplify]: Simplify x into x 1.678 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.678 * [taylor]: Taking taylor expansion of 2 in y 1.678 * [backup-simplify]: Simplify 2 into 2 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of 2 in x 1.678 * [backup-simplify]: Simplify 2 into 2 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [backup-simplify]: Simplify y into y 1.678 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.678 * [taylor]: Taking taylor expansion of 2 in x 1.678 * [backup-simplify]: Simplify 2 into 2 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.678 * [taylor]: Taking taylor expansion of y in x 1.678 * [backup-simplify]: Simplify y into y 1.679 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.679 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.679 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.679 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of 2 in y 1.679 * [backup-simplify]: Simplify 2 into 2 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.679 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [taylor]: Taking taylor expansion of 0 in y 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.681 * [backup-simplify]: Simplify (+ 1 0) into 1 1.681 * [taylor]: Taking taylor expansion of 1 in y 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (* 2 1) into 2 1.681 * [backup-simplify]: Simplify 2 into 2 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.687 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.687 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.687 * [taylor]: Taking taylor expansion of x in y 1.687 * [backup-simplify]: Simplify x into x 1.687 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.688 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.688 * [taylor]: Taking taylor expansion of 2 in y 1.688 * [backup-simplify]: Simplify 2 into 2 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.688 * [taylor]: Taking taylor expansion of y in y 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (/ 1 1) into 1 1.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.689 * [taylor]: Taking taylor expansion of 2 in x 1.689 * [backup-simplify]: Simplify 2 into 2 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.689 * [backup-simplify]: Simplify y into y 1.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.690 * [taylor]: Taking taylor expansion of 2 in x 1.690 * [backup-simplify]: Simplify 2 into 2 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.690 * [backup-simplify]: Simplify y into y 1.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.690 * [backup-simplify]: Simplify (+ 1 0) into 1 1.690 * [taylor]: Taking taylor expansion of 1 in y 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [taylor]: Taking taylor expansion of 0 in y 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.692 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.692 * [taylor]: Taking taylor expansion of 2 in y 1.692 * [backup-simplify]: Simplify 2 into 2 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [backup-simplify]: Simplify (* 2 1) into 2 1.693 * [backup-simplify]: Simplify 2 into 2 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.702 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.702 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.702 * [taylor]: Taking taylor expansion of x in y 1.702 * [backup-simplify]: Simplify x into x 1.702 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.702 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.702 * [taylor]: Taking taylor expansion of 2 in y 1.702 * [backup-simplify]: Simplify 2 into 2 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.702 * [taylor]: Taking taylor expansion of y in y 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.703 * [taylor]: Taking taylor expansion of 2 in x 1.703 * [backup-simplify]: Simplify 2 into 2 1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.703 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.703 * [taylor]: Taking taylor expansion of y in x 1.703 * [backup-simplify]: Simplify y into y 1.703 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.703 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (* 1 1) into 1 1.704 * [backup-simplify]: Simplify (/ 1 1) into 1 1.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.704 * [taylor]: Taking taylor expansion of 2 in x 1.704 * [backup-simplify]: Simplify 2 into 2 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.704 * [taylor]: Taking taylor expansion of y in x 1.704 * [backup-simplify]: Simplify y into y 1.704 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.704 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.704 * [backup-simplify]: Simplify (+ 1 0) into 1 1.704 * [taylor]: Taking taylor expansion of 1 in y 1.704 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [taylor]: Taking taylor expansion of 0 in y 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.706 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.707 * [taylor]: Taking taylor expansion of 2 in y 1.707 * [backup-simplify]: Simplify 2 into 2 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.707 * [taylor]: Taking taylor expansion of y in y 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (* 1 1) into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (* 2 1) into 2 1.707 * [backup-simplify]: Simplify 2 into 2 1.707 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.709 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [taylor]: Taking taylor expansion of 0 in y 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [taylor]: Taking taylor expansion of 0 in y 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.715 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.715 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 1.715 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.715 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.715 * [taylor]: Taking taylor expansion of x in y 1.715 * [backup-simplify]: Simplify x into x 1.715 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.715 * [taylor]: Taking taylor expansion of 3 in y 1.715 * [backup-simplify]: Simplify 3 into 3 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.715 * [taylor]: Taking taylor expansion of x in x 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.715 * [taylor]: Taking taylor expansion of 3 in x 1.715 * [backup-simplify]: Simplify 3 into 3 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.716 * [taylor]: Taking taylor expansion of 3 in x 1.716 * [backup-simplify]: Simplify 3 into 3 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.716 * [taylor]: Taking taylor expansion of y in x 1.716 * [backup-simplify]: Simplify y into y 1.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.716 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 1.716 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 1.716 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of 3 in y 1.716 * [backup-simplify]: Simplify 3 into 3 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.716 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.723 * [backup-simplify]: Simplify (+ 1 0) into 1 1.723 * [taylor]: Taking taylor expansion of 1 in y 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (* 1 1) into 1 1.724 * [backup-simplify]: Simplify (* 3 1) into 3 1.724 * [backup-simplify]: Simplify 3 into 3 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.725 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.725 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [taylor]: Taking taylor expansion of 0 in y 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.726 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.728 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [taylor]: Taking taylor expansion of 0 in y 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.730 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 1.730 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.730 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.730 * [taylor]: Taking taylor expansion of x in y 1.730 * [backup-simplify]: Simplify x into x 1.730 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.730 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.730 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.730 * [taylor]: Taking taylor expansion of 3 in y 1.730 * [backup-simplify]: Simplify 3 into 3 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.730 * [taylor]: Taking taylor expansion of y in y 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.731 * [taylor]: Taking taylor expansion of 3 in x 1.731 * [backup-simplify]: Simplify 3 into 3 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.731 * [taylor]: Taking taylor expansion of y in x 1.731 * [backup-simplify]: Simplify y into y 1.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.731 * [taylor]: Taking taylor expansion of x in x 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.732 * [backup-simplify]: Simplify (/ 1 1) into 1 1.732 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.732 * [taylor]: Taking taylor expansion of 3 in x 1.732 * [backup-simplify]: Simplify 3 into 3 1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.732 * [taylor]: Taking taylor expansion of y in x 1.732 * [backup-simplify]: Simplify y into y 1.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.732 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [taylor]: Taking taylor expansion of 1 in y 1.732 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in y 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.735 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 1.735 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.735 * [taylor]: Taking taylor expansion of 3 in y 1.735 * [backup-simplify]: Simplify 3 into 3 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.735 * [taylor]: Taking taylor expansion of y in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (* 3 1) into 3 1.735 * [backup-simplify]: Simplify 3 into 3 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [taylor]: Taking taylor expansion of 0 in y 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in y 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.743 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 1.743 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.744 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.744 * [taylor]: Taking taylor expansion of x in y 1.744 * [backup-simplify]: Simplify x into x 1.744 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.744 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.744 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.744 * [taylor]: Taking taylor expansion of 3 in y 1.744 * [backup-simplify]: Simplify 3 into 3 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.744 * [taylor]: Taking taylor expansion of y in y 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (* 1 1) into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (* 1 1) into 1 1.745 * [backup-simplify]: Simplify (/ 1 1) into 1 1.745 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.745 * [taylor]: Taking taylor expansion of 3 in x 1.745 * [backup-simplify]: Simplify 3 into 3 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.745 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.745 * [taylor]: Taking taylor expansion of y in x 1.745 * [backup-simplify]: Simplify y into y 1.745 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.745 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (* 1 1) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.746 * [taylor]: Taking taylor expansion of 3 in x 1.746 * [backup-simplify]: Simplify 3 into 3 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.746 * [taylor]: Taking taylor expansion of y in x 1.746 * [backup-simplify]: Simplify y into y 1.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [taylor]: Taking taylor expansion of 1 in y 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in y 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.748 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 1.748 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.748 * [taylor]: Taking taylor expansion of 3 in y 1.748 * [backup-simplify]: Simplify 3 into 3 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.748 * [taylor]: Taking taylor expansion of y in y 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (* 1 1) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [backup-simplify]: Simplify (* 3 1) into 3 1.749 * [backup-simplify]: Simplify 3 into 3 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [taylor]: Taking taylor expansion of 0 in y 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.754 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [taylor]: Taking taylor expansion of 0 in y 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.757 * * * [progress]: simplifying candidates 1.758 * [simplify]: Simplifying: (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y 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y))) (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.759 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))) (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (sqrt 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h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))))) (* (* h1 h1) (* h1 h1))) (- (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h1 h1)))) (* h1 h1)) (* (sqrt 2) h1) h0 (* -1 h0) (* (sqrt 2) h1) h0 (* -1 h0) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (* 2 (pow h1 2))) (+ (pow h0 2) (* 3 (pow h1 2))) (+ (pow h0 2) (* 3 (pow h1 2))) (+ (pow h0 2) (* 3 (pow h1 2))) 1.766 * * [simplify]: iteration 0 : 244 enodes (cost 1209 ) 1.772 * * [simplify]: iteration 1 : 1203 enodes (cost 1041 ) 1.799 * * [simplify]: iteration 2 : 5001 enodes (cost 979 ) 1.804 * * * [progress]: adding candidates to table 1.994 * [progress]: [Phase 3 of 3] Extracting. 1.994 * * [regime]: Finding splitpoints for: (# # # # #) 1.995 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.995 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.010 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.020 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 2.038 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # #) 2.055 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.073 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.090 * * * [regime]: Found split indices: #