29.747 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: Extracting # 3 : cost 0 0.045 * * [simplify]: Extracting # 4 : cost 0 0.045 * * [simplify]: Extracting # 5 : cost 0 0.046 * * [simplify]: Extracting # 6 : cost 0 0.046 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: Extracting # 2 : cost 0 0.054 * * [simplify]: Extracting # 3 : cost 0 0.054 * * [simplify]: Extracting # 4 : cost 0 0.054 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: Extracting # 3 : cost 0 0.065 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.081 * * [simplify]: Extracting # 0 : cost 0 0.081 * * [simplify]: Extracting # 1 : cost 0 0.081 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: iteration done: 46 enodes (cost 9 ) 0.104 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.106 * * [progress]: iteration 1 / 4 0.107 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.116 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.284 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.329 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.345 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.345 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.346 * [backup-simplify]: Simplify x into x 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of 3 in y 0.346 * [backup-simplify]: Simplify 3 into 3 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of 3 in x 0.346 * [backup-simplify]: Simplify 3 into 3 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of 3 in x 0.346 * [backup-simplify]: Simplify 3 into 3 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.347 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.347 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.347 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of 3 in y 0.347 * [backup-simplify]: Simplify 3 into 3 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.348 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (* 3 1) into 3 0.352 * [backup-simplify]: Simplify 3 into 3 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.363 * [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)))) 0.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [backup-simplify]: Simplify x into x 0.363 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.363 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of 3 in y 0.363 * [backup-simplify]: Simplify 3 into 3 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 1 1) into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of 3 in x 0.366 * [backup-simplify]: Simplify 3 into 3 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [backup-simplify]: Simplify y into y 0.366 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.366 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (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 (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.368 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.368 * [backup-simplify]: Simplify (+ 1 0) into 1 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.373 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.373 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of 3 in y 0.373 * [backup-simplify]: Simplify 3 into 3 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [backup-simplify]: Simplify (* 3 1) into 3 0.374 * [backup-simplify]: Simplify 3 into 3 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [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 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [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))) 0.383 * [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)))) 0.383 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [backup-simplify]: Simplify x into x 0.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.384 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.384 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.384 * [taylor]: Taking taylor expansion of 3 in y 0.384 * [backup-simplify]: Simplify 3 into 3 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of 3 in x 0.385 * [backup-simplify]: Simplify 3 into 3 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [backup-simplify]: Simplify y into y 0.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (/ 1 1) into 1 0.386 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.386 * [taylor]: Taking taylor expansion of 3 in x 0.386 * [backup-simplify]: Simplify 3 into 3 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [backup-simplify]: Simplify y into y 0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.389 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 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 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (* 3 1) into 3 0.390 * [backup-simplify]: Simplify 3 into 3 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 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 0.398 * [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))) 0.398 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.398 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 0.398 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [backup-simplify]: Simplify x into x 0.398 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of 2 in y 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.399 * [taylor]: Taking taylor expansion of 2 in x 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [backup-simplify]: Simplify y into y 0.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.399 * [taylor]: Taking taylor expansion of 2 in x 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [backup-simplify]: Simplify y into y 0.399 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.399 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.399 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 0.399 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of 2 in y 0.399 * [backup-simplify]: Simplify 2 into 2 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.400 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.401 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (* 2 1) into 2 0.402 * [backup-simplify]: Simplify 2 into 2 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.411 * [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)))) 0.411 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [backup-simplify]: Simplify x into x 0.411 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of 2 in y 0.412 * [backup-simplify]: Simplify 2 into 2 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (* 1 1) into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of 2 in x 0.413 * [backup-simplify]: Simplify 2 into 2 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [backup-simplify]: Simplify y into y 0.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.415 * [taylor]: Taking taylor expansion of 2 in x 0.415 * [backup-simplify]: Simplify 2 into 2 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.416 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [taylor]: Taking taylor expansion of 1 in y 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.420 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.420 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of 2 in y 0.420 * [backup-simplify]: Simplify 2 into 2 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (* 2 1) into 2 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.439 * [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))) 0.439 * [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)))) 0.440 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [backup-simplify]: Simplify x into x 0.440 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of 2 in y 0.440 * [backup-simplify]: Simplify 2 into 2 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [backup-simplify]: Simplify 2 into 2 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [backup-simplify]: Simplify y into y 0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 2 in x 0.443 * [backup-simplify]: Simplify 2 into 2 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [taylor]: Taking taylor expansion of 1 in y 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.448 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.448 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of 2 in y 0.448 * [backup-simplify]: Simplify 2 into 2 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (* 2 1) into 2 0.450 * [backup-simplify]: Simplify 2 into 2 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [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))) 0.464 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.465 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.465 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [backup-simplify]: Simplify x into x 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [backup-simplify]: Simplify y into y 0.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [backup-simplify]: Simplify y into y 0.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.466 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [taylor]: Taking taylor expansion of 1 in y 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.474 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.474 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [backup-simplify]: Simplify x into x 0.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [backup-simplify]: Simplify y into y 0.476 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [taylor]: Taking taylor expansion of 1 in y 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.486 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.486 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [backup-simplify]: Simplify x into x 0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [backup-simplify]: Simplify y into y 0.488 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [backup-simplify]: Simplify y into y 0.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.499 * * * [progress]: simplifying candidates 0.499 * [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)) 0.501 * * [simplify]: Extracting # 0 : cost 0 0.501 * * [simplify]: Extracting # 1 : cost 0 0.501 * * [simplify]: Extracting # 2 : cost 0 0.502 * * [simplify]: Extracting # 3 : cost 0 0.502 * * [simplify]: Extracting # 4 : cost 0 0.502 * * [simplify]: Extracting # 5 : cost 0 0.502 * * [simplify]: Extracting # 6 : cost 0 0.502 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 0.536 * * [simplify]: Extracting # 0 : cost 0 0.536 * * [simplify]: Extracting # 1 : cost 0 0.536 * * [simplify]: Extracting # 2 : cost 0 0.536 * * [simplify]: Extracting # 3 : cost 0 0.537 * * [simplify]: Extracting # 4 : cost 0 0.537 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 0.672 * * [simplify]: Extracting # 0 : cost 0 0.673 * * [simplify]: Extracting # 1 : cost 0 0.674 * * [simplify]: Extracting # 2 : cost 0 0.675 * * [simplify]: Extracting # 3 : cost 0 0.676 * * [simplify]: Extracting # 4 : cost 0 0.676 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 1.443 * * [simplify]: Extracting # 0 : cost 0 1.449 * * [simplify]: Extracting # 1 : cost 0 1.455 * * [simplify]: Extracting # 2 : cost 0 1.461 * * [simplify]: Extracting # 3 : cost 0 1.466 * * [simplify]: Extracting # 4 : cost 0 1.472 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 2.707 * * [simplify]: Extracting # 0 : cost 0 2.717 * * [simplify]: Extracting # 1 : cost 0 2.727 * * [simplify]: Extracting # 2 : cost 0 2.735 * * [simplify]: Extracting # 3 : cost 0 2.741 * * [simplify]: Extracting # 4 : cost 0 2.752 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 2.752 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y))) (pow y 4)) (* (+ (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (+ (pow y 4) (* (* x x) (* y y))) (pow x 4)) (* (+ (pow x 2) (* 2 (pow y 2))) (* x x)) (* x x) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* 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))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 2.753 * * * [progress]: adding candidates to table 2.902 * * [progress]: iteration 2 / 4 2.902 * * * [progress]: picking best candidate 2.929 * * * * [pick]: Picked # 2.930 * * * [progress]: localizing error 2.947 * * * [progress]: generating rewritten candidates 2.947 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.984 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.998 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.011 * * * [progress]: generating series expansions 3.012 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.012 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* 2 (pow y 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.012 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 3.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 3.012 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.012 * [taylor]: Taking taylor expansion of x in y 3.012 * [backup-simplify]: Simplify x into x 3.012 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.012 * [taylor]: Taking taylor expansion of 3 in y 3.012 * [backup-simplify]: Simplify 3 into 3 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.012 * [taylor]: Taking taylor expansion of y in y 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.012 * [taylor]: Taking taylor expansion of 3 in x 3.012 * [backup-simplify]: Simplify 3 into 3 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.012 * [taylor]: Taking taylor expansion of y in x 3.012 * [backup-simplify]: Simplify y into y 3.012 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 3.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.012 * [taylor]: Taking taylor expansion of x in x 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 3.012 * [taylor]: Taking taylor expansion of 3 in x 3.012 * [backup-simplify]: Simplify 3 into 3 3.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.012 * [taylor]: Taking taylor expansion of y in x 3.012 * [backup-simplify]: Simplify y into y 3.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.013 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 3.013 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 3.013 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 3.013 * [taylor]: Taking taylor expansion of 3 in y 3.013 * [backup-simplify]: Simplify 3 into 3 3.013 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.013 * [taylor]: Taking taylor expansion of y in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.014 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [taylor]: Taking taylor expansion of 0 in y 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (* 1 1) into 1 3.015 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.015 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.015 * [backup-simplify]: Simplify (+ 1 0) into 1 3.016 * [taylor]: Taking taylor expansion of 1 in y 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (* 1 1) into 1 3.016 * [backup-simplify]: Simplify (* 3 1) into 3 3.016 * [backup-simplify]: Simplify 3 into 3 3.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.018 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [taylor]: Taking taylor expansion of 0 in y 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.019 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.021 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [taylor]: Taking taylor expansion of 0 in y 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 3.022 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* 2 (pow (/ 1 y) 2))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 3.022 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.022 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.022 * [taylor]: Taking taylor expansion of x in y 3.023 * [backup-simplify]: Simplify x into x 3.023 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.023 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.023 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.023 * [taylor]: Taking taylor expansion of 3 in y 3.023 * [backup-simplify]: Simplify 3 into 3 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.023 * [taylor]: Taking taylor expansion of y in y 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (* 1 1) into 1 3.023 * [backup-simplify]: Simplify (/ 1 1) into 1 3.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.023 * [taylor]: Taking taylor expansion of x in x 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.024 * [backup-simplify]: Simplify (* 1 1) into 1 3.024 * [backup-simplify]: Simplify (/ 1 1) into 1 3.024 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.024 * [taylor]: Taking taylor expansion of 3 in x 3.024 * [backup-simplify]: Simplify 3 into 3 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.024 * [taylor]: Taking taylor expansion of y in x 3.024 * [backup-simplify]: Simplify y into y 3.024 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.024 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.024 * [taylor]: Taking taylor expansion of x in x 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (* 1 1) into 1 3.025 * [backup-simplify]: Simplify (/ 1 1) into 1 3.025 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.025 * [taylor]: Taking taylor expansion of 3 in x 3.025 * [backup-simplify]: Simplify 3 into 3 3.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.025 * [taylor]: Taking taylor expansion of y in x 3.025 * [backup-simplify]: Simplify y into y 3.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.025 * [backup-simplify]: Simplify (+ 1 0) into 1 3.025 * [taylor]: Taking taylor expansion of 1 in y 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [taylor]: Taking taylor expansion of 0 in y 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.028 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.028 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.028 * [taylor]: Taking taylor expansion of 3 in y 3.028 * [backup-simplify]: Simplify 3 into 3 3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.028 * [taylor]: Taking taylor expansion of y in y 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [backup-simplify]: Simplify (* 3 1) into 3 3.029 * [backup-simplify]: Simplify 3 into 3 3.029 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [taylor]: Taking taylor expansion of 0 in y 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.035 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.035 * [taylor]: Taking taylor expansion of 0 in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [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))) 3.038 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* 2 (pow (/ 1 (- y)) 2))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 3.038 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.038 * [taylor]: Taking taylor expansion of x in y 3.038 * [backup-simplify]: Simplify x into x 3.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.038 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.038 * [taylor]: Taking taylor expansion of 3 in y 3.038 * [backup-simplify]: Simplify 3 into 3 3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.038 * [taylor]: Taking taylor expansion of y in y 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (/ 1 1) into 1 3.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.039 * [taylor]: Taking taylor expansion of x in x 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.039 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (/ 1 1) into 1 3.039 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.039 * [taylor]: Taking taylor expansion of 3 in x 3.039 * [backup-simplify]: Simplify 3 into 3 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.039 * [taylor]: Taking taylor expansion of y in x 3.039 * [backup-simplify]: Simplify y into y 3.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* 1 1) into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 3.041 * [taylor]: Taking taylor expansion of 3 in x 3.041 * [backup-simplify]: Simplify 3 into 3 3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.041 * [taylor]: Taking taylor expansion of y in x 3.041 * [backup-simplify]: Simplify y into y 3.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.042 * [backup-simplify]: Simplify (+ 1 0) into 1 3.042 * [taylor]: Taking taylor expansion of 1 in y 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.043 * [taylor]: Taking taylor expansion of 0 in y 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 3.045 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 3.045 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 3.045 * [taylor]: Taking taylor expansion of 3 in y 3.045 * [backup-simplify]: Simplify 3 into 3 3.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.046 * [taylor]: Taking taylor expansion of y in y 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (* 1 1) into 1 3.046 * [backup-simplify]: Simplify (/ 1 1) into 1 3.047 * [backup-simplify]: Simplify (* 3 1) into 3 3.047 * [backup-simplify]: Simplify 3 into 3 3.047 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.050 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [taylor]: Taking taylor expansion of 0 in y 3.050 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [taylor]: Taking taylor expansion of 0 in y 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [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))) 3.060 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 3.061 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 3.061 * [approximate]: Taking taylor expansion of (* 2 (pow y 2)) in (y) around 0 3.061 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 3.061 * [taylor]: Taking taylor expansion of 2 in y 3.061 * [backup-simplify]: Simplify 2 into 2 3.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.061 * [taylor]: Taking taylor expansion of y in y 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 3.061 * [taylor]: Taking taylor expansion of 2 in y 3.061 * [backup-simplify]: Simplify 2 into 2 3.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.061 * [taylor]: Taking taylor expansion of y in y 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.062 * [backup-simplify]: Simplify (* 2 1) into 2 3.062 * [backup-simplify]: Simplify 2 into 2 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.069 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.072 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 3.077 * [backup-simplify]: Simplify (* 2 (pow (/ 1 y) 2)) into (/ 2 (pow y 2)) 3.077 * [approximate]: Taking taylor expansion of (/ 2 (pow y 2)) in (y) around 0 3.077 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 3.077 * [taylor]: Taking taylor expansion of 2 in y 3.077 * [backup-simplify]: Simplify 2 into 2 3.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.077 * [taylor]: Taking taylor expansion of y in y 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.078 * [backup-simplify]: Simplify (* 1 1) into 1 3.078 * [backup-simplify]: Simplify (/ 2 1) into 2 3.078 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 3.078 * [taylor]: Taking taylor expansion of 2 in y 3.078 * [backup-simplify]: Simplify 2 into 2 3.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.078 * [taylor]: Taking taylor expansion of y in y 3.078 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.079 * [backup-simplify]: Simplify (* 1 1) into 1 3.079 * [backup-simplify]: Simplify (/ 2 1) into 2 3.080 * [backup-simplify]: Simplify 2 into 2 3.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (/ 1 y)) 2)) into (* 2 (pow y 2)) 3.094 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (- y)) 2)) into (/ 2 (pow y 2)) 3.094 * [approximate]: Taking taylor expansion of (/ 2 (pow y 2)) in (y) around 0 3.094 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 3.094 * [taylor]: Taking taylor expansion of 2 in y 3.094 * [backup-simplify]: Simplify 2 into 2 3.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.094 * [taylor]: Taking taylor expansion of y in y 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 2 1) into 2 3.095 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 3.095 * [taylor]: Taking taylor expansion of 2 in y 3.095 * [backup-simplify]: Simplify 2 into 2 3.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.095 * [taylor]: Taking taylor expansion of y in y 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (* 1 1) into 1 3.096 * [backup-simplify]: Simplify (/ 2 1) into 2 3.096 * [backup-simplify]: Simplify 2 into 2 3.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (* 2 (pow (/ 1 (/ 1 (- y))) 2)) into (* 2 (pow y 2)) 3.110 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.111 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 3.111 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 3.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.111 * [taylor]: Taking taylor expansion of x in y 3.111 * [backup-simplify]: Simplify x into x 3.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.111 * [taylor]: Taking taylor expansion of y in y 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.111 * [taylor]: Taking taylor expansion of y in x 3.111 * [backup-simplify]: Simplify y into y 3.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 3.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.111 * [taylor]: Taking taylor expansion of x in x 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.111 * [taylor]: Taking taylor expansion of y in x 3.111 * [backup-simplify]: Simplify y into y 3.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.112 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.112 * [taylor]: Taking taylor expansion of y in y 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.112 * [backup-simplify]: Simplify (+ 0 0) into 0 3.112 * [taylor]: Taking taylor expansion of 0 in y 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.114 * [backup-simplify]: Simplify (+ 1 0) into 1 3.114 * [taylor]: Taking taylor expansion of 1 in y 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.116 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.116 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [taylor]: Taking taylor expansion of 0 in y 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.119 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [taylor]: Taking taylor expansion of 0 in y 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 3.120 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.120 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.120 * [taylor]: Taking taylor expansion of x in y 3.120 * [backup-simplify]: Simplify x into x 3.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.121 * [taylor]: Taking taylor expansion of y in y 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (* 1 1) into 1 3.122 * [backup-simplify]: Simplify (/ 1 1) into 1 3.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.122 * [taylor]: Taking taylor expansion of y in x 3.122 * [backup-simplify]: Simplify y into y 3.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* 1 1) into 1 3.123 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.124 * [taylor]: Taking taylor expansion of y in x 3.124 * [backup-simplify]: Simplify y into y 3.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [taylor]: Taking taylor expansion of 1 in y 3.124 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [taylor]: Taking taylor expansion of 0 in y 3.125 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.127 * [taylor]: Taking taylor expansion of y in y 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify (/ 1 1) into 1 3.127 * [backup-simplify]: Simplify 1 into 1 3.127 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [taylor]: Taking taylor expansion of 0 in y 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 0) into 0 3.132 * [taylor]: Taking taylor expansion of 0 in y 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.133 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3.133 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 3.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.134 * [taylor]: Taking taylor expansion of x in y 3.134 * [backup-simplify]: Simplify x into x 3.134 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.134 * [taylor]: Taking taylor expansion of y in y 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (* 1 1) into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [backup-simplify]: Simplify (* 1 1) into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.138 * [taylor]: Taking taylor expansion of y in x 3.138 * [backup-simplify]: Simplify y into y 3.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (* 1 1) into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.139 * [taylor]: Taking taylor expansion of y in x 3.139 * [backup-simplify]: Simplify y into y 3.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.139 * [backup-simplify]: Simplify (+ 1 0) into 1 3.139 * [taylor]: Taking taylor expansion of 1 in y 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [taylor]: Taking taylor expansion of 0 in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.141 * [taylor]: Taking taylor expansion of y in y 3.142 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify (* 1 1) into 1 3.142 * [backup-simplify]: Simplify (/ 1 1) into 1 3.142 * [backup-simplify]: Simplify 1 into 1 3.142 * [backup-simplify]: Simplify 1 into 1 3.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.144 * [backup-simplify]: Simplify (+ 0 0) into 0 3.144 * [taylor]: Taking taylor expansion of 0 in y 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [taylor]: Taking taylor expansion of 0 in y 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 3.148 * * * [progress]: simplifying candidates 3.149 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* y y))) (exp (* 2 (pow y 2)))) (* (exp (+ (* x x) (* y y))) (exp (* 2 (pow y 2)))) (log (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (exp (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (* (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2))))) (cbrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (* (* (+ (+ (* x x) (* y y)) (* 2 (pow y 2))) (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (sqrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (sqrt (+ (+ (* x x) (* y y)) (* 2 (pow y 2)))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* 2 (pow y 2)) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* (+ (* x x) (* y y)) (* 2 (pow y 2))))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* 2 (pow y 2)) (* 2 (pow y 2)))) (- (+ (* x x) (* y y)) (* 2 (pow y 2))) (+ (* y y) (* 2 (pow y 2))) (+ (log 2) (* (log y) 2)) (+ (log 2) (* (log y) 2)) (+ (log 2) (log (pow y 2))) (log (* 2 (pow y 2))) (exp (* 2 (pow y 2))) (* (* (* 2 2) 2) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* 2 (pow y 2))) (cbrt (* 2 (pow y 2)))) (cbrt (* 2 (pow y 2))) (* (* (* 2 (pow y 2)) (* 2 (pow y 2))) (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (* (sqrt 2) (pow (sqrt y) 2)) (* (sqrt 2) (pow (sqrt y) 2)) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) (sqrt (pow y 2))) (* (sqrt 2) (sqrt (pow y 2))) (* (sqrt 2) (pow y (/ 2 2))) (* (sqrt 2) (pow y (/ 2 2))) (* 2 (pow (* (cbrt y) (cbrt y)) 2)) (* 2 (pow (sqrt y) 2)) (* 2 (pow 1 2)) (* 2 y) (* 2 (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* 2 (sqrt (pow y 2))) (* 2 1) (* 2 (pow y (/ 2 2))) (* (cbrt 2) (pow y 2)) (* (sqrt 2) (pow y 2)) (* 2 (pow y 2)) (* (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))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.150 * * [simplify]: Extracting # 0 : cost 0 3.150 * * [simplify]: Extracting # 1 : cost 0 3.151 * * [simplify]: Extracting # 2 : cost 0 3.151 * * [simplify]: Extracting # 3 : cost 0 3.151 * * [simplify]: Extracting # 4 : cost 0 3.151 * * [simplify]: Extracting # 5 : cost 0 3.151 * * [simplify]: Extracting # 6 : cost 0 3.151 * * [simplify]: iteration 0 : 98 enodes (cost 703 ) 3.178 * * [simplify]: Extracting # 0 : cost 0 3.179 * * [simplify]: Extracting # 1 : cost 0 3.179 * * [simplify]: Extracting # 2 : cost 0 3.179 * * [simplify]: Extracting # 3 : cost 0 3.180 * * [simplify]: Extracting # 4 : cost 0 3.180 * * [simplify]: iteration 1 : 262 enodes (cost 630 ) 3.320 * * [simplify]: Extracting # 0 : cost 0 3.321 * * [simplify]: Extracting # 1 : cost 0 3.323 * * [simplify]: Extracting # 2 : cost 0 3.324 * * [simplify]: Extracting # 3 : cost 0 3.326 * * [simplify]: Extracting # 4 : cost 0 3.327 * * [simplify]: iteration 2 : 775 enodes (cost 521 ) 4.167 * * [simplify]: Extracting # 0 : cost 0 4.170 * * [simplify]: Extracting # 1 : cost 0 4.174 * * [simplify]: Extracting # 2 : cost 0 4.180 * * [simplify]: Extracting # 3 : cost 0 4.186 * * [simplify]: Extracting # 4 : cost 0 4.192 * * [simplify]: iteration 3 : 3061 enodes (cost 503 ) 5.906 * * [simplify]: Extracting # 0 : cost 0 5.917 * * [simplify]: Extracting # 1 : cost 0 5.926 * * [simplify]: Extracting # 2 : cost 0 5.935 * * [simplify]: Extracting # 3 : cost 0 5.945 * * [simplify]: Extracting # 4 : cost 0 5.961 * * [simplify]: iteration done: 5000 enodes (cost 486 ) 5.961 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (* x x) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (* x x) (* 3 (pow y 2)))) (cbrt (+ (* x x) (* 3 (pow y 2))))) (cbrt (+ (* x x) (* 3 (pow y 2)))) (pow (+ (* x x) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* 3 (pow y 2)))) (sqrt (+ (* x x) (* 3 (pow y 2)))) (+ (pow (+ (* x x) (* y y)) 3) (* 8 (pow y 6))) (+ (- (pow x 4) (pow y 4)) (* 4 (pow y 4))) (* (+ (* x x) (* 3 (pow y 2))) (- (* x x) (* y y))) (- (* x x) (* y y)) (* 3 (* y y)) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (log (* 2 (pow y 2))) (exp (* 2 (pow y 2))) (* 8 (pow y 6)) (* (cbrt (* 2 (pow y 2))) (cbrt (* 2 (pow y 2)))) (cbrt (* 2 (pow y 2))) (* 8 (pow y 6)) (sqrt (* 2 (pow y 2))) (sqrt (* 2 (pow y 2))) (* y (sqrt 2)) (* y (sqrt 2)) (* y (sqrt 2)) (* y (sqrt 2)) (* (sqrt 2) (fabs y)) (* (sqrt 2) (fabs y)) (* y (sqrt 2)) (* y (sqrt 2)) (* 2 (pow (cbrt y) 4)) (* y 2) 2 (* y 2) (* 2 (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* 2 (fabs y)) 2 (* y 2) (* (cbrt 2) (pow y 2)) (* (sqrt 2) (pow y 2)) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (- (pow y 4) (* (* x x) (* y y))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (+ (* x x) (* 3 (pow y 2))) (* 2 (pow y 2)) (* 2 (pow y 2)) (* 2 (pow y 2)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 5.962 * * * [progress]: adding candidates to table 6.147 * * [progress]: iteration 3 / 4 6.147 * * * [progress]: picking best candidate 6.181 * * * * [pick]: Picked # 6.181 * * * [progress]: localizing error 6.190 * * * [progress]: generating rewritten candidates 6.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.263 * * * [progress]: generating series expansions 6.264 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.264 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* (* y 2) y)) into (+ (pow x 2) (* 3 (pow y 2))) 6.264 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 6.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 6.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.264 * [taylor]: Taking taylor expansion of x in y 6.264 * [backup-simplify]: Simplify x into x 6.264 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.264 * [taylor]: Taking taylor expansion of 3 in y 6.264 * [backup-simplify]: Simplify 3 into 3 6.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.264 * [taylor]: Taking taylor expansion of y in y 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.264 * [taylor]: Taking taylor expansion of x in x 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.264 * [taylor]: Taking taylor expansion of 3 in x 6.264 * [backup-simplify]: Simplify 3 into 3 6.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.265 * [taylor]: Taking taylor expansion of y in x 6.265 * [backup-simplify]: Simplify y into y 6.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 6.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.265 * [taylor]: Taking taylor expansion of x in x 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.265 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 6.265 * [taylor]: Taking taylor expansion of 3 in x 6.265 * [backup-simplify]: Simplify 3 into 3 6.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.265 * [taylor]: Taking taylor expansion of y in x 6.265 * [backup-simplify]: Simplify y into y 6.265 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.265 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 6.265 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 6.265 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 6.265 * [taylor]: Taking taylor expansion of 3 in y 6.265 * [backup-simplify]: Simplify 3 into 3 6.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.265 * [taylor]: Taking taylor expansion of y in y 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.266 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [taylor]: Taking taylor expansion of 0 in y 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.268 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.269 * [backup-simplify]: Simplify (+ 1 0) into 1 6.269 * [taylor]: Taking taylor expansion of 1 in y 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (* 1 1) into 1 6.270 * [backup-simplify]: Simplify (* 3 1) into 3 6.270 * [backup-simplify]: Simplify 3 into 3 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.272 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [taylor]: Taking taylor expansion of 0 in y 6.272 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.274 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.274 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.276 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.277 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [taylor]: Taking taylor expansion of 0 in y 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 6.278 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (* (/ 1 y) 2) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 6.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.279 * [taylor]: Taking taylor expansion of x in y 6.279 * [backup-simplify]: Simplify x into x 6.279 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.279 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.279 * [taylor]: Taking taylor expansion of 3 in y 6.279 * [backup-simplify]: Simplify 3 into 3 6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.279 * [taylor]: Taking taylor expansion of y in y 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (* 1 1) into 1 6.280 * [backup-simplify]: Simplify (/ 1 1) into 1 6.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.280 * [taylor]: Taking taylor expansion of x in x 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [backup-simplify]: Simplify (* 1 1) into 1 6.280 * [backup-simplify]: Simplify (/ 1 1) into 1 6.281 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.281 * [taylor]: Taking taylor expansion of 3 in x 6.281 * [backup-simplify]: Simplify 3 into 3 6.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.281 * [taylor]: Taking taylor expansion of y in x 6.281 * [backup-simplify]: Simplify y into y 6.281 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.281 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.281 * [taylor]: Taking taylor expansion of x in x 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (* 1 1) into 1 6.282 * [backup-simplify]: Simplify (/ 1 1) into 1 6.282 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.282 * [taylor]: Taking taylor expansion of 3 in x 6.282 * [backup-simplify]: Simplify 3 into 3 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.282 * [taylor]: Taking taylor expansion of y in x 6.282 * [backup-simplify]: Simplify y into y 6.282 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.283 * [backup-simplify]: Simplify (+ 1 0) into 1 6.283 * [taylor]: Taking taylor expansion of 1 in y 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [taylor]: Taking taylor expansion of 0 in y 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.286 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.286 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.287 * [taylor]: Taking taylor expansion of 3 in y 6.287 * [backup-simplify]: Simplify 3 into 3 6.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.287 * [taylor]: Taking taylor expansion of y in y 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.287 * [backup-simplify]: Simplify (* 1 1) into 1 6.287 * [backup-simplify]: Simplify (/ 1 1) into 1 6.288 * [backup-simplify]: Simplify (* 3 1) into 3 6.288 * [backup-simplify]: Simplify 3 into 3 6.288 * [backup-simplify]: Simplify 1 into 1 6.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.290 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.291 * [backup-simplify]: Simplify (+ 0 0) into 0 6.291 * [taylor]: Taking taylor expansion of 0 in y 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.297 * [taylor]: Taking taylor expansion of 0 in y 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 0 into 0 6.300 * [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))) 6.300 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 6.300 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 6.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 6.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.301 * [taylor]: Taking taylor expansion of x in y 6.301 * [backup-simplify]: Simplify x into x 6.301 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.301 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.301 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.301 * [taylor]: Taking taylor expansion of 3 in y 6.301 * [backup-simplify]: Simplify 3 into 3 6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.301 * [taylor]: Taking taylor expansion of y in y 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.301 * [backup-simplify]: Simplify (* 1 1) into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.302 * [taylor]: Taking taylor expansion of x in x 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (* 1 1) into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.303 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.303 * [taylor]: Taking taylor expansion of 3 in x 6.303 * [backup-simplify]: Simplify 3 into 3 6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.303 * [taylor]: Taking taylor expansion of y in x 6.303 * [backup-simplify]: Simplify y into y 6.303 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 6.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.303 * [taylor]: Taking taylor expansion of x in x 6.303 * [backup-simplify]: Simplify 0 into 0 6.303 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.304 * [backup-simplify]: Simplify (/ 1 1) into 1 6.304 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 6.304 * [taylor]: Taking taylor expansion of 3 in x 6.304 * [backup-simplify]: Simplify 3 into 3 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.304 * [taylor]: Taking taylor expansion of y in x 6.304 * [backup-simplify]: Simplify y into y 6.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.305 * [backup-simplify]: Simplify (+ 1 0) into 1 6.305 * [taylor]: Taking taylor expansion of 1 in y 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [taylor]: Taking taylor expansion of 0 in y 6.306 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 6.308 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 6.308 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 6.309 * [taylor]: Taking taylor expansion of 3 in y 6.309 * [backup-simplify]: Simplify 3 into 3 6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.309 * [taylor]: Taking taylor expansion of y in y 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.309 * [backup-simplify]: Simplify (/ 1 1) into 1 6.310 * [backup-simplify]: Simplify (* 3 1) into 3 6.310 * [backup-simplify]: Simplify 3 into 3 6.310 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.312 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.312 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 6.313 * [backup-simplify]: Simplify (+ 0 0) into 0 6.313 * [taylor]: Taking taylor expansion of 0 in y 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.315 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.318 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.319 * [taylor]: Taking taylor expansion of 0 in y 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.321 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 6.321 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [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))) 6.322 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.322 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 6.322 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 6.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.322 * [taylor]: Taking taylor expansion of x in y 6.322 * [backup-simplify]: Simplify x into x 6.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.323 * [taylor]: Taking taylor expansion of y in y 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.323 * [taylor]: Taking taylor expansion of x in x 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.323 * [taylor]: Taking taylor expansion of y in x 6.323 * [backup-simplify]: Simplify y into y 6.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.323 * [taylor]: Taking taylor expansion of x in x 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.323 * [taylor]: Taking taylor expansion of y in x 6.323 * [backup-simplify]: Simplify y into y 6.323 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.323 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.323 * [taylor]: Taking taylor expansion of y in y 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.324 * [backup-simplify]: Simplify (+ 0 0) into 0 6.324 * [taylor]: Taking taylor expansion of 0 in y 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (* 1 1) into 1 6.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.325 * [backup-simplify]: Simplify (+ 1 0) into 1 6.325 * [taylor]: Taking taylor expansion of 1 in y 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (* 1 1) into 1 6.326 * [backup-simplify]: Simplify 1 into 1 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.327 * [backup-simplify]: Simplify (+ 0 0) into 0 6.327 * [taylor]: Taking taylor expansion of 0 in y 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.328 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.330 * [taylor]: Taking taylor expansion of 0 in y 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.331 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.331 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.331 * [taylor]: Taking taylor expansion of x in y 6.331 * [backup-simplify]: Simplify x into x 6.331 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.331 * [taylor]: Taking taylor expansion of y in y 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.332 * [taylor]: Taking taylor expansion of x in x 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (* 1 1) into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.333 * [taylor]: Taking taylor expansion of y in x 6.333 * [backup-simplify]: Simplify y into y 6.333 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.333 * [taylor]: Taking taylor expansion of x in x 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [backup-simplify]: Simplify (* 1 1) into 1 6.334 * [backup-simplify]: Simplify (/ 1 1) into 1 6.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.334 * [taylor]: Taking taylor expansion of y in x 6.334 * [backup-simplify]: Simplify y into y 6.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.335 * [backup-simplify]: Simplify (+ 1 0) into 1 6.335 * [taylor]: Taking taylor expansion of 1 in y 6.335 * [backup-simplify]: Simplify 1 into 1 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (+ 0 0) into 0 6.337 * [taylor]: Taking taylor expansion of 0 in y 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.338 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.338 * [taylor]: Taking taylor expansion of y in y 6.338 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (* 1 1) into 1 6.339 * [backup-simplify]: Simplify (/ 1 1) into 1 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify 1 into 1 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.342 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [taylor]: Taking taylor expansion of 0 in y 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.346 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [taylor]: Taking taylor expansion of 0 in y 6.346 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.349 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.349 * [taylor]: Taking taylor expansion of x in y 6.349 * [backup-simplify]: Simplify x into x 6.349 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.349 * [taylor]: Taking taylor expansion of y in y 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (* 1 1) into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.353 * [taylor]: Taking taylor expansion of x in x 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (* 1 1) into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.354 * [taylor]: Taking taylor expansion of y in x 6.354 * [backup-simplify]: Simplify y into y 6.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.356 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.356 * [taylor]: Taking taylor expansion of y in x 6.356 * [backup-simplify]: Simplify y into y 6.356 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.357 * [backup-simplify]: Simplify (+ 1 0) into 1 6.357 * [taylor]: Taking taylor expansion of 1 in y 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.358 * [backup-simplify]: Simplify (+ 0 0) into 0 6.358 * [taylor]: Taking taylor expansion of 0 in y 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.360 * [taylor]: Taking taylor expansion of y in y 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (* 1 1) into 1 6.361 * [backup-simplify]: Simplify (/ 1 1) into 1 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify 1 into 1 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.363 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [taylor]: Taking taylor expansion of 0 in y 6.364 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.369 * [backup-simplify]: Simplify (+ 0 0) into 0 6.369 * [taylor]: Taking taylor expansion of 0 in y 6.369 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.371 * * * [progress]: simplifying candidates 6.372 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* y y))) (exp (* (* y 2) y))) (* (exp (+ (* x x) (* y y))) (exp (* (* y 2) y))) (log (+ (+ (* x x) (* y y)) (* (* y 2) y))) (exp (+ (+ (* x x) (* y y)) (* (* y 2) y))) (* (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) y))) (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) y)))) (cbrt (+ (+ (* x x) (* y y)) (* (* y 2) y))) (* (* (+ (+ (* x x) (* y y)) (* (* y 2) y)) (+ (+ (* x x) (* y y)) (* (* y 2) y))) (+ (+ (* x x) (* y y)) (* (* y 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* (* y 2) y))) (sqrt (+ (+ (* x x) (* y y)) (* (* y 2) y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* (* y 2) y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* (* y 2) y) (* (* y 2) y)) (* (+ (* x x) (* y y)) (* (* y 2) y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* (* y 2) y) (* (* y 2) y))) (- (+ (* x x) (* y y)) (* (* y 2) y)) (+ (* y y) (* (* y 2) 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) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 6.373 * * [simplify]: Extracting # 0 : cost 0 6.373 * * [simplify]: Extracting # 1 : cost 0 6.373 * * [simplify]: Extracting # 2 : cost 0 6.374 * * [simplify]: Extracting # 3 : cost 0 6.374 * * [simplify]: Extracting # 4 : cost 0 6.374 * * [simplify]: Extracting # 5 : cost 0 6.374 * * [simplify]: Extracting # 6 : cost 0 6.374 * * [simplify]: iteration 0 : 55 enodes (cost 471 ) 6.397 * * [simplify]: Extracting # 0 : cost 0 6.398 * * [simplify]: Extracting # 1 : cost 0 6.398 * * [simplify]: Extracting # 2 : cost 0 6.398 * * [simplify]: Extracting # 3 : cost 0 6.399 * * [simplify]: Extracting # 4 : cost 0 6.399 * * [simplify]: iteration 1 : 184 enodes (cost 415 ) 6.535 * * [simplify]: Extracting # 0 : cost 0 6.537 * * [simplify]: Extracting # 1 : cost 0 6.538 * * [simplify]: Extracting # 2 : cost 0 6.539 * * [simplify]: Extracting # 3 : cost 0 6.540 * * [simplify]: Extracting # 4 : cost 0 6.541 * * [simplify]: Extracting # 5 : cost 0 6.542 * * [simplify]: iteration 2 : 659 enodes (cost 349 ) 7.210 * * [simplify]: Extracting # 0 : cost 0 7.214 * * [simplify]: Extracting # 1 : cost 0 7.217 * * [simplify]: Extracting # 2 : cost 0 7.220 * * [simplify]: Extracting # 3 : cost 0 7.223 * * [simplify]: Extracting # 4 : cost 0 7.226 * * [simplify]: iteration 3 : 2528 enodes (cost 337 ) 8.255 * * [simplify]: Extracting # 0 : cost 0 8.262 * * [simplify]: Extracting # 1 : cost 0 8.268 * * [simplify]: Extracting # 2 : cost 0 8.274 * * [simplify]: Extracting # 3 : cost 0 8.281 * * [simplify]: Extracting # 4 : cost 0 8.287 * * [simplify]: iteration done: 5001 enodes (cost 337 ) 8.287 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (* 8 (pow y 6))) (+ (* 4 (pow y 4)) (* (+ (* x x) (* y y)) (+ (* y (- y (* y 2))) (* x x)))) (* (+ (* y (- y (* y 2))) (* x x)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* y (- y (* y 2))) (* x x)) (* 3 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* 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))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 8.287 * * * [progress]: adding candidates to table 8.375 * * [progress]: iteration 4 / 4 8.375 * * * [progress]: picking best candidate 8.394 * * * * [pick]: Picked # 8.394 * * * [progress]: localizing error 8.406 * * * [progress]: generating rewritten candidates 8.406 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.414 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.426 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.478 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.561 * * * [progress]: generating series expansions 8.561 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.562 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 8.562 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 8.562 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 8.562 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.562 * [taylor]: Taking taylor expansion of x in y 8.562 * [backup-simplify]: Simplify x into x 8.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.562 * [taylor]: Taking taylor expansion of y in y 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.562 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.562 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.562 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.563 * [backup-simplify]: Simplify (+ 0 0) into 0 8.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.563 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.563 * [taylor]: Taking taylor expansion of x in x 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.563 * [taylor]: Taking taylor expansion of y in x 8.563 * [backup-simplify]: Simplify y into y 8.563 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.564 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.564 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.564 * [backup-simplify]: Simplify (+ 0 0) into 0 8.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.564 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.564 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.564 * [taylor]: Taking taylor expansion of x in x 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 1 into 1 8.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.565 * [taylor]: Taking taylor expansion of y in x 8.565 * [backup-simplify]: Simplify y into y 8.565 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.565 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.565 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.565 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.566 * [taylor]: Taking taylor expansion of y in y 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [taylor]: Taking taylor expansion of 0 in y 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (* 1 1) into 1 8.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.567 * [backup-simplify]: Simplify (+ 1 0) into 1 8.568 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.568 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.568 * [taylor]: Taking taylor expansion of 1/2 in y 8.568 * [backup-simplify]: Simplify 1/2 into 1/2 8.568 * [taylor]: Taking taylor expansion of y in y 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.570 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.571 * [taylor]: Taking taylor expansion of 0 in y 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.572 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.572 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.573 * [taylor]: Taking taylor expansion of x in y 8.573 * [backup-simplify]: Simplify x into x 8.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.573 * [taylor]: Taking taylor expansion of y in y 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (/ 1 1) into 1 8.574 * [backup-simplify]: Simplify (+ 0 1) into 1 8.574 * [backup-simplify]: Simplify (sqrt 1) into 1 8.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify (+ 0 0) into 0 8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.577 * [taylor]: Taking taylor expansion of x in x 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (* 1 1) into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.578 * [taylor]: Taking taylor expansion of y in x 8.578 * [backup-simplify]: Simplify y into y 8.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.578 * [backup-simplify]: Simplify (+ 1 0) into 1 8.578 * [backup-simplify]: Simplify (sqrt 1) into 1 8.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (+ 0 0) into 0 8.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.581 * [taylor]: Taking taylor expansion of x in x 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify 1 into 1 8.581 * [backup-simplify]: Simplify (* 1 1) into 1 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.582 * [taylor]: Taking taylor expansion of y in x 8.582 * [backup-simplify]: Simplify y into y 8.582 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.582 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.582 * [backup-simplify]: Simplify (+ 1 0) into 1 8.582 * [backup-simplify]: Simplify (sqrt 1) into 1 8.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.584 * [taylor]: Taking taylor expansion of 1 in y 8.584 * [backup-simplify]: Simplify 1 into 1 8.584 * [taylor]: Taking taylor expansion of 0 in y 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify 1 into 1 8.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.586 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.586 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.586 * [taylor]: Taking taylor expansion of 1/2 in y 8.586 * [backup-simplify]: Simplify 1/2 into 1/2 8.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.586 * [taylor]: Taking taylor expansion of y in y 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.590 * [backup-simplify]: Simplify (+ 0 0) into 0 8.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.590 * [taylor]: Taking taylor expansion of 0 in y 8.590 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.592 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.592 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.593 * [taylor]: Taking taylor expansion of x in y 8.593 * [backup-simplify]: Simplify x into x 8.593 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.593 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.593 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.593 * [taylor]: Taking taylor expansion of y in y 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (* 1 1) into 1 8.594 * [backup-simplify]: Simplify (/ 1 1) into 1 8.594 * [backup-simplify]: Simplify (+ 0 1) into 1 8.594 * [backup-simplify]: Simplify (sqrt 1) into 1 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.597 * [taylor]: Taking taylor expansion of x in x 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (* 1 1) into 1 8.598 * [backup-simplify]: Simplify (/ 1 1) into 1 8.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.598 * [taylor]: Taking taylor expansion of y in x 8.598 * [backup-simplify]: Simplify y into y 8.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.598 * [backup-simplify]: Simplify (+ 1 0) into 1 8.599 * [backup-simplify]: Simplify (sqrt 1) into 1 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (+ 0 0) into 0 8.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.601 * [taylor]: Taking taylor expansion of x in x 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.601 * [backup-simplify]: Simplify (* 1 1) into 1 8.602 * [backup-simplify]: Simplify (/ 1 1) into 1 8.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.602 * [taylor]: Taking taylor expansion of y in x 8.602 * [backup-simplify]: Simplify y into y 8.602 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.602 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.602 * [backup-simplify]: Simplify (+ 1 0) into 1 8.603 * [backup-simplify]: Simplify (sqrt 1) into 1 8.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.605 * [taylor]: Taking taylor expansion of 1 in y 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of 0 in y 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.607 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.608 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.608 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.608 * [taylor]: Taking taylor expansion of 1/2 in y 8.608 * [backup-simplify]: Simplify 1/2 into 1/2 8.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.608 * [taylor]: Taking taylor expansion of y in y 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (* 1 1) into 1 8.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.614 * [taylor]: Taking taylor expansion of 0 in y 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.615 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.616 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 8.616 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 8.616 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 8.616 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.616 * [taylor]: Taking taylor expansion of x in y 8.616 * [backup-simplify]: Simplify x into x 8.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.616 * [taylor]: Taking taylor expansion of y in y 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.616 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.616 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.616 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.617 * [backup-simplify]: Simplify (+ 0 0) into 0 8.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.617 * [taylor]: Taking taylor expansion of x in x 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.617 * [taylor]: Taking taylor expansion of y in x 8.617 * [backup-simplify]: Simplify y into y 8.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.617 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.617 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.618 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 8.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.618 * [taylor]: Taking taylor expansion of x in x 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.618 * [taylor]: Taking taylor expansion of y in x 8.618 * [backup-simplify]: Simplify y into y 8.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.618 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.619 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 8.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 8.619 * [taylor]: Taking taylor expansion of y in y 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [taylor]: Taking taylor expansion of 0 in y 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (* 1 1) into 1 8.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.621 * [backup-simplify]: Simplify (+ 1 0) into 1 8.621 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 8.621 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 8.621 * [taylor]: Taking taylor expansion of 1/2 in y 8.621 * [backup-simplify]: Simplify 1/2 into 1/2 8.621 * [taylor]: Taking taylor expansion of y in y 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.624 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 8.625 * [taylor]: Taking taylor expansion of 0 in y 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 8.626 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.626 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.626 * [taylor]: Taking taylor expansion of x in y 8.626 * [backup-simplify]: Simplify x into x 8.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.626 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.626 * [taylor]: Taking taylor expansion of y in y 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.627 * [backup-simplify]: Simplify (* 1 1) into 1 8.627 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [backup-simplify]: Simplify (+ 0 1) into 1 8.628 * [backup-simplify]: Simplify (sqrt 1) into 1 8.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify (+ 0 0) into 0 8.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.631 * [backup-simplify]: Simplify (/ 1 1) into 1 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.631 * [taylor]: Taking taylor expansion of y in x 8.631 * [backup-simplify]: Simplify y into y 8.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.632 * [backup-simplify]: Simplify (+ 1 0) into 1 8.632 * [backup-simplify]: Simplify (sqrt 1) into 1 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.634 * [taylor]: Taking taylor expansion of x in x 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.635 * [taylor]: Taking taylor expansion of y in x 8.635 * [backup-simplify]: Simplify y into y 8.635 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.636 * [backup-simplify]: Simplify (+ 1 0) into 1 8.636 * [backup-simplify]: Simplify (sqrt 1) into 1 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.638 * [taylor]: Taking taylor expansion of 1 in y 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [taylor]: Taking taylor expansion of 0 in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.641 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.641 * [taylor]: Taking taylor expansion of 1/2 in y 8.641 * [backup-simplify]: Simplify 1/2 into 1/2 8.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.642 * [taylor]: Taking taylor expansion of y in y 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (* 1 1) into 1 8.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.647 * [taylor]: Taking taylor expansion of 0 in y 8.647 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.650 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.650 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.650 * [taylor]: Taking taylor expansion of x in y 8.650 * [backup-simplify]: Simplify x into x 8.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.650 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.650 * [taylor]: Taking taylor expansion of y in y 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (* 1 1) into 1 8.651 * [backup-simplify]: Simplify (/ 1 1) into 1 8.651 * [backup-simplify]: Simplify (+ 0 1) into 1 8.651 * [backup-simplify]: Simplify (sqrt 1) into 1 8.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.654 * [taylor]: Taking taylor expansion of x in x 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.654 * [backup-simplify]: Simplify (* 1 1) into 1 8.654 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.655 * [taylor]: Taking taylor expansion of y in x 8.655 * [backup-simplify]: Simplify y into y 8.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.655 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.655 * [backup-simplify]: Simplify (+ 1 0) into 1 8.656 * [backup-simplify]: Simplify (sqrt 1) into 1 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (+ 0 0) into 0 8.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.658 * [taylor]: Taking taylor expansion of x in x 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (* 1 1) into 1 8.659 * [backup-simplify]: Simplify (/ 1 1) into 1 8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.659 * [taylor]: Taking taylor expansion of y in x 8.659 * [backup-simplify]: Simplify y into y 8.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.659 * [backup-simplify]: Simplify (+ 1 0) into 1 8.660 * [backup-simplify]: Simplify (sqrt 1) into 1 8.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (+ 0 0) into 0 8.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.662 * [taylor]: Taking taylor expansion of 1 in y 8.662 * [backup-simplify]: Simplify 1 into 1 8.662 * [taylor]: Taking taylor expansion of 0 in y 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.665 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 8.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 8.665 * [taylor]: Taking taylor expansion of 1/2 in y 8.665 * [backup-simplify]: Simplify 1/2 into 1/2 8.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.665 * [taylor]: Taking taylor expansion of y in y 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (* 1 1) into 1 8.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.667 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 8.668 * [taylor]: Taking taylor expansion of 0 in y 8.668 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.670 * * * * [progress]: [ 3 / 4 ] generating series at (2) 8.670 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y)) into (+ (pow x 2) (* 3 (pow y 2))) 8.670 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 8.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 8.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.670 * [taylor]: Taking taylor expansion of x in y 8.670 * [backup-simplify]: Simplify x into x 8.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.670 * [taylor]: Taking taylor expansion of 3 in y 8.670 * [backup-simplify]: Simplify 3 into 3 8.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.670 * [taylor]: Taking taylor expansion of y in y 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.670 * [taylor]: Taking taylor expansion of x in x 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.670 * [taylor]: Taking taylor expansion of 3 in x 8.670 * [backup-simplify]: Simplify 3 into 3 8.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.670 * [taylor]: Taking taylor expansion of y in x 8.670 * [backup-simplify]: Simplify y into y 8.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.670 * [taylor]: Taking taylor expansion of x in x 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.670 * [taylor]: Taking taylor expansion of 3 in x 8.670 * [backup-simplify]: Simplify 3 into 3 8.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.670 * [taylor]: Taking taylor expansion of y in x 8.671 * [backup-simplify]: Simplify y into y 8.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.671 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 8.671 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 8.671 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.671 * [taylor]: Taking taylor expansion of 3 in y 8.671 * [backup-simplify]: Simplify 3 into 3 8.671 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.671 * [taylor]: Taking taylor expansion of y in y 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.671 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [taylor]: Taking taylor expansion of 0 in y 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (* 1 1) into 1 8.672 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.673 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.673 * [backup-simplify]: Simplify (+ 1 0) into 1 8.673 * [taylor]: Taking taylor expansion of 1 in y 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify (* 1 1) into 1 8.674 * [backup-simplify]: Simplify (* 3 1) into 3 8.674 * [backup-simplify]: Simplify 3 into 3 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.675 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [taylor]: Taking taylor expansion of 0 in y 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.676 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.678 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.683 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [taylor]: Taking taylor expansion of 0 in y 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 8.685 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (* (* (/ 1 y) 2) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 8.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.685 * [taylor]: Taking taylor expansion of x in y 8.685 * [backup-simplify]: Simplify x into x 8.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.686 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.686 * [taylor]: Taking taylor expansion of 3 in y 8.686 * [backup-simplify]: Simplify 3 into 3 8.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.686 * [taylor]: Taking taylor expansion of y in y 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify (* 1 1) into 1 8.687 * [backup-simplify]: Simplify (/ 1 1) into 1 8.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.687 * [taylor]: Taking taylor expansion of x in x 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (* 1 1) into 1 8.688 * [backup-simplify]: Simplify (/ 1 1) into 1 8.688 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.688 * [taylor]: Taking taylor expansion of 3 in x 8.688 * [backup-simplify]: Simplify 3 into 3 8.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.688 * [taylor]: Taking taylor expansion of y in x 8.688 * [backup-simplify]: Simplify y into y 8.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.688 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.688 * [taylor]: Taking taylor expansion of x in x 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (* 1 1) into 1 8.689 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.689 * [taylor]: Taking taylor expansion of 3 in x 8.689 * [backup-simplify]: Simplify 3 into 3 8.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.689 * [taylor]: Taking taylor expansion of y in x 8.689 * [backup-simplify]: Simplify y into y 8.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.690 * [backup-simplify]: Simplify (+ 1 0) into 1 8.690 * [taylor]: Taking taylor expansion of 1 in y 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.691 * [backup-simplify]: Simplify (+ 0 0) into 0 8.691 * [taylor]: Taking taylor expansion of 0 in y 8.691 * [backup-simplify]: Simplify 0 into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.692 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.692 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.692 * [taylor]: Taking taylor expansion of 3 in y 8.692 * [backup-simplify]: Simplify 3 into 3 8.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.692 * [taylor]: Taking taylor expansion of y in y 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (* 1 1) into 1 8.693 * [backup-simplify]: Simplify (/ 1 1) into 1 8.693 * [backup-simplify]: Simplify (* 3 1) into 3 8.693 * [backup-simplify]: Simplify 3 into 3 8.693 * [backup-simplify]: Simplify 1 into 1 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.695 * [backup-simplify]: Simplify (+ 0 0) into 0 8.695 * [taylor]: Taking taylor expansion of 0 in y 8.695 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.697 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.700 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.700 * [backup-simplify]: Simplify (+ 0 0) into 0 8.700 * [taylor]: Taking taylor expansion of 0 in y 8.700 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [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))) 8.704 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (* (/ 1 (- y)) 2) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 8.704 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.704 * [taylor]: Taking taylor expansion of x in y 8.704 * [backup-simplify]: Simplify x into x 8.704 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.705 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.705 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.705 * [taylor]: Taking taylor expansion of 3 in y 8.705 * [backup-simplify]: Simplify 3 into 3 8.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.705 * [taylor]: Taking taylor expansion of y in y 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* 1 1) into 1 8.706 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.706 * [taylor]: Taking taylor expansion of x in x 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [backup-simplify]: Simplify (* 1 1) into 1 8.707 * [backup-simplify]: Simplify (/ 1 1) into 1 8.707 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.707 * [taylor]: Taking taylor expansion of 3 in x 8.707 * [backup-simplify]: Simplify 3 into 3 8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.707 * [taylor]: Taking taylor expansion of y in x 8.707 * [backup-simplify]: Simplify y into y 8.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.707 * [taylor]: Taking taylor expansion of x in x 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (* 1 1) into 1 8.708 * [backup-simplify]: Simplify (/ 1 1) into 1 8.708 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.708 * [taylor]: Taking taylor expansion of 3 in x 8.708 * [backup-simplify]: Simplify 3 into 3 8.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.708 * [taylor]: Taking taylor expansion of y in x 8.708 * [backup-simplify]: Simplify y into y 8.708 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.708 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.709 * [backup-simplify]: Simplify (+ 1 0) into 1 8.709 * [taylor]: Taking taylor expansion of 1 in y 8.709 * [backup-simplify]: Simplify 1 into 1 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.711 * [backup-simplify]: Simplify (+ 0 0) into 0 8.711 * [taylor]: Taking taylor expansion of 0 in y 8.711 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.713 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.714 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.714 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.714 * [taylor]: Taking taylor expansion of 3 in y 8.714 * [backup-simplify]: Simplify 3 into 3 8.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.714 * [taylor]: Taking taylor expansion of y in y 8.714 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (* 1 1) into 1 8.715 * [backup-simplify]: Simplify (/ 1 1) into 1 8.715 * [backup-simplify]: Simplify (* 3 1) into 3 8.715 * [backup-simplify]: Simplify 3 into 3 8.715 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.718 * [backup-simplify]: Simplify (+ 0 0) into 0 8.718 * [taylor]: Taking taylor expansion of 0 in y 8.718 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.723 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.724 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.724 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [taylor]: Taking taylor expansion of 0 in y 8.724 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.726 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [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))) 8.726 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.727 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) into (+ (pow x 2) (pow y 2)) 8.727 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 8.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.727 * [taylor]: Taking taylor expansion of x in y 8.727 * [backup-simplify]: Simplify x into x 8.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.727 * [taylor]: Taking taylor expansion of y in y 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.727 * [taylor]: Taking taylor expansion of x in x 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.727 * [taylor]: Taking taylor expansion of y in x 8.727 * [backup-simplify]: Simplify y into y 8.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.727 * [taylor]: Taking taylor expansion of x in x 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.727 * [taylor]: Taking taylor expansion of y in x 8.727 * [backup-simplify]: Simplify y into y 8.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.727 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.727 * [taylor]: Taking taylor expansion of y in y 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [taylor]: Taking taylor expansion of 0 in y 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify (* 1 1) into 1 8.728 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.728 * [backup-simplify]: Simplify (+ 1 0) into 1 8.728 * [taylor]: Taking taylor expansion of 1 in y 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify (* 1 1) into 1 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.730 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.730 * [backup-simplify]: Simplify (+ 0 0) into 0 8.730 * [taylor]: Taking taylor expansion of 0 in y 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.732 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.732 * [backup-simplify]: Simplify (+ 0 0) into 0 8.732 * [taylor]: Taking taylor expansion of 0 in y 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 8.733 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.733 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.733 * [taylor]: Taking taylor expansion of x in y 8.733 * [backup-simplify]: Simplify x into x 8.733 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.733 * [taylor]: Taking taylor expansion of y in y 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (* 1 1) into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.733 * [taylor]: Taking taylor expansion of x in x 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (* 1 1) into 1 8.734 * [backup-simplify]: Simplify (/ 1 1) into 1 8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.734 * [taylor]: Taking taylor expansion of y in x 8.734 * [backup-simplify]: Simplify y into y 8.734 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.734 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.734 * [taylor]: Taking taylor expansion of x in x 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.735 * [backup-simplify]: Simplify (* 1 1) into 1 8.735 * [backup-simplify]: Simplify (/ 1 1) into 1 8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.735 * [taylor]: Taking taylor expansion of y in x 8.735 * [backup-simplify]: Simplify y into y 8.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.735 * [backup-simplify]: Simplify (+ 1 0) into 1 8.735 * [taylor]: Taking taylor expansion of 1 in y 8.735 * [backup-simplify]: Simplify 1 into 1 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [taylor]: Taking taylor expansion of 0 in y 8.736 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.738 * [taylor]: Taking taylor expansion of y in y 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (/ 1 1) into 1 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [taylor]: Taking taylor expansion of 0 in y 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.743 * [backup-simplify]: Simplify (+ 0 0) into 0 8.743 * [taylor]: Taking taylor expansion of 0 in y 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.745 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.745 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.745 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.745 * [taylor]: Taking taylor expansion of x in y 8.745 * [backup-simplify]: Simplify x into x 8.745 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.745 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.745 * [taylor]: Taking taylor expansion of y in y 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (* 1 1) into 1 8.745 * [backup-simplify]: Simplify (/ 1 1) into 1 8.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.746 * [taylor]: Taking taylor expansion of x in x 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (* 1 1) into 1 8.746 * [backup-simplify]: Simplify (/ 1 1) into 1 8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.746 * [taylor]: Taking taylor expansion of y in x 8.746 * [backup-simplify]: Simplify y into y 8.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.746 * [taylor]: Taking taylor expansion of x in x 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (* 1 1) into 1 8.747 * [backup-simplify]: Simplify (/ 1 1) into 1 8.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.747 * [taylor]: Taking taylor expansion of y in x 8.747 * [backup-simplify]: Simplify y into y 8.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.747 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.747 * [backup-simplify]: Simplify (+ 1 0) into 1 8.747 * [taylor]: Taking taylor expansion of 1 in y 8.747 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.749 * [backup-simplify]: Simplify (+ 0 0) into 0 8.749 * [taylor]: Taking taylor expansion of 0 in y 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.750 * [taylor]: Taking taylor expansion of y in y 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (* 1 1) into 1 8.750 * [backup-simplify]: Simplify (/ 1 1) into 1 8.750 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.752 * [backup-simplify]: Simplify (+ 0 0) into 0 8.752 * [taylor]: Taking taylor expansion of 0 in y 8.752 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.755 * [backup-simplify]: Simplify (+ 0 0) into 0 8.755 * [taylor]: Taking taylor expansion of 0 in y 8.755 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.757 * * * [progress]: simplifying candidates 8.758 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (* (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (* y 2) y))) (log (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (exp (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (* (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y)))) (cbrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (* (* (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y))) (+ (pow (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) 3) (pow (* (* y 2) y) 3)) (+ (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (- (* (* (* y 2) y) (* (* y 2) y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y)))) (- (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* y 2) y) (* (* y 2) y))) (- (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (* y 2) y)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 8.761 * * [simplify]: Extracting # 0 : cost 0 8.761 * * [simplify]: Extracting # 1 : cost 0 8.761 * * [simplify]: Extracting # 2 : cost 0 8.761 * * [simplify]: Extracting # 3 : cost 0 8.761 * * [simplify]: Extracting # 4 : cost 0 8.762 * * [simplify]: Extracting # 5 : cost 0 8.762 * * [simplify]: Extracting # 6 : cost 0 8.762 * * [simplify]: Extracting # 7 : cost 0 8.762 * * [simplify]: iteration 0 : 109 enodes (cost 2276 ) 8.810 * * [simplify]: Extracting # 0 : cost 0 8.811 * * [simplify]: Extracting # 1 : cost 0 8.811 * * [simplify]: Extracting # 2 : cost 0 8.812 * * [simplify]: Extracting # 3 : cost 0 8.812 * * [simplify]: Extracting # 4 : cost 0 8.813 * * [simplify]: Extracting # 5 : cost 0 8.813 * * [simplify]: iteration 1 : 253 enodes (cost 1481 ) 8.936 * * [simplify]: Extracting # 0 : cost 0 8.938 * * [simplify]: Extracting # 1 : cost 0 8.939 * * [simplify]: Extracting # 2 : cost 0 8.941 * * [simplify]: Extracting # 3 : cost 0 8.943 * * [simplify]: Extracting # 4 : cost 0 8.944 * * [simplify]: iteration 2 : 847 enodes (cost 1291 ) 9.735 * * [simplify]: Extracting # 0 : cost 0 9.739 * * [simplify]: Extracting # 1 : cost 0 9.744 * * [simplify]: Extracting # 2 : cost 0 9.748 * * [simplify]: Extracting # 3 : cost 0 9.757 * * [simplify]: Extracting # 4 : cost 0 9.764 * * [simplify]: Extracting # 5 : cost 0 9.772 * * [simplify]: iteration 3 : 3301 enodes (cost 1193 ) 11.989 * * [simplify]: Extracting # 0 : cost 0 12.001 * * [simplify]: Extracting # 1 : cost 0 12.009 * * [simplify]: Extracting # 2 : cost 0 12.016 * * [simplify]: Extracting # 3 : cost 0 12.022 * * [simplify]: Extracting # 4 : cost 0 12.028 * * [simplify]: iteration done: 5000 enodes (cost 1171 ) 12.028 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (* 8 (pow y 6)) (pow (+ (pow x 2) (pow y 2)) 3)) (- (* (pow y 4) 4) (* (+ (* x x) (* y y)) (- (* y (- (* y 2) y)) (* x x)))) (- (pow (sqrt (+ (* x x) (* y y))) 4) (* (pow y 4) 4)) (+ (* y (- y (* y 2))) (* x x)) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow y 6) (pow x 6))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (* x x) (* y y)))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (cbrt (+ (* x x) (* y y)))) 4) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (pow x 4) (pow y 4)))) y x (- x) y x (- x) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 12.029 * * * [progress]: adding candidates to table 12.354 * [progress]: [Phase 3 of 3] Extracting. 12.354 * * [regime]: Finding splitpoints for: (# # # # # # #) 12.357 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 12.357 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 12.394 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 12.441 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 12.478 * * * [regime]: Found split indices: #