14.349 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: Extracting # 5 : cost 0 0.035 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.059 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.161 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.162 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.203 * * [simplify]: Extracting # 2 : cost 0 0.203 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.267 * * [simplify]: Extracting # 0 : cost 0 0.267 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.333 * * [simplify]: Extracting # 0 : cost 0 0.333 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.333 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.334 * * [progress]: iteration 1 / 4 0.334 * * * [progress]: picking best candidate 0.337 * * * * [pick]: Picked # 0.337 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.420 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.428 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.439 * * * [progress]: generating series expansions 0.439 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.439 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.439 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.439 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.439 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 4.0 in y 0.439 * [backup-simplify]: Simplify 4.0 into 4.0 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.439 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 4.0 in y 0.439 * [backup-simplify]: Simplify 4.0 into 4.0 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.440 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.440 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.440 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.440 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.440 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.440 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of 4.0 in x 0.440 * [backup-simplify]: Simplify 4.0 into 4.0 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.440 * [taylor]: Taking taylor expansion of 4.0 in x 0.440 * [backup-simplify]: Simplify 4.0 into 4.0 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.440 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.441 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.441 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.441 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.441 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 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 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of 4.0 in x 0.441 * [backup-simplify]: Simplify 4.0 into 4.0 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [backup-simplify]: Simplify y into y 0.441 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 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 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of 4.0 in x 0.441 * [backup-simplify]: Simplify 4.0 into 4.0 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [backup-simplify]: Simplify y into y 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.442 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.442 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.442 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.442 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.442 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.442 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.442 * [taylor]: Taking taylor expansion of -1.0 in y 0.442 * [backup-simplify]: Simplify -1.0 into -1.0 0.442 * [backup-simplify]: Simplify -1.0 into -1.0 0.442 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.443 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.444 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.449 * [taylor]: Taking taylor expansion of 0.5 in y 0.449 * [backup-simplify]: Simplify 0.5 into 0.5 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify -1.0 into -1.0 0.464 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.464 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [backup-simplify]: Simplify x into x 0.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of 4.0 in y 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.466 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of 4.0 in y 0.466 * [backup-simplify]: Simplify 4.0 into 4.0 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.467 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.468 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.469 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.469 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.470 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.470 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of 4.0 in x 0.472 * [backup-simplify]: Simplify 4.0 into 4.0 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [backup-simplify]: Simplify y into y 0.472 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.472 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.473 * [taylor]: Taking taylor expansion of 4.0 in x 0.473 * [backup-simplify]: Simplify 4.0 into 4.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [backup-simplify]: Simplify y into y 0.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.473 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [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 (* 4.0 (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of 4.0 in x 0.475 * [backup-simplify]: Simplify 4.0 into 4.0 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)) (* 4.0 (/ 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 (* 4.0 (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of 4.0 in x 0.476 * [backup-simplify]: Simplify 4.0 into 4.0 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)) 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) 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 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 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.481 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.481 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.483 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.483 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.483 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.483 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.483 * [taylor]: Taking taylor expansion of 8.0 in y 0.483 * [backup-simplify]: Simplify 8.0 into 8.0 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.493 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [backup-simplify]: Simplify x into x 0.493 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.493 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.493 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of 4.0 in y 0.493 * [backup-simplify]: Simplify 4.0 into 4.0 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [backup-simplify]: Simplify x into x 0.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.494 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.494 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of 4.0 in y 0.494 * [backup-simplify]: Simplify 4.0 into 4.0 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.495 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.496 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.496 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.496 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.497 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.497 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of 4.0 in x 0.497 * [backup-simplify]: Simplify 4.0 into 4.0 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [backup-simplify]: Simplify y into y 0.497 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of 4.0 in x 0.498 * [backup-simplify]: Simplify 4.0 into 4.0 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.499 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of 4.0 in x 0.500 * [backup-simplify]: Simplify 4.0 into 4.0 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [backup-simplify]: Simplify y into y 0.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of 4.0 in x 0.501 * [backup-simplify]: Simplify 4.0 into 4.0 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [backup-simplify]: Simplify y into y 0.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.510 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.510 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.513 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.514 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.515 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of 8.0 in y 0.515 * [backup-simplify]: Simplify 8.0 into 8.0 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.530 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.530 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [backup-simplify]: Simplify x into x 0.530 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of 4.0 in y 0.530 * [backup-simplify]: Simplify 4.0 into 4.0 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of 4.0 in x 0.531 * [backup-simplify]: Simplify 4.0 into 4.0 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [backup-simplify]: Simplify y into y 0.531 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of 4.0 in x 0.531 * [backup-simplify]: Simplify 4.0 into 4.0 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [backup-simplify]: Simplify y into y 0.531 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.531 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.532 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.532 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.532 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.532 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of 4.0 in y 0.532 * [backup-simplify]: Simplify 4.0 into 4.0 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.533 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.538 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.538 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.550 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.550 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [backup-simplify]: Simplify x into x 0.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.551 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.551 * [taylor]: Taking taylor expansion of 4.0 in y 0.551 * [backup-simplify]: Simplify 4.0 into 4.0 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.552 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.553 * [taylor]: Taking taylor expansion of 4.0 in x 0.553 * [backup-simplify]: Simplify 4.0 into 4.0 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [backup-simplify]: Simplify y into y 0.553 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.553 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.554 * [taylor]: Taking taylor expansion of 4.0 in x 0.554 * [backup-simplify]: Simplify 4.0 into 4.0 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.554 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.554 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.555 * [taylor]: Taking taylor expansion of 1 in y 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.559 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.559 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.559 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.559 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.559 * [taylor]: Taking taylor expansion of 4.0 in y 0.559 * [backup-simplify]: Simplify 4.0 into 4.0 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.561 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.562 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.578 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.578 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [backup-simplify]: Simplify x into x 0.578 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.578 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of 4.0 in y 0.578 * [backup-simplify]: Simplify 4.0 into 4.0 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.580 * [taylor]: Taking taylor expansion of 4.0 in x 0.580 * [backup-simplify]: Simplify 4.0 into 4.0 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [backup-simplify]: Simplify y into y 0.580 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.581 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of 4.0 in x 0.582 * [backup-simplify]: Simplify 4.0 into 4.0 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [backup-simplify]: Simplify y into y 0.582 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.582 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [taylor]: Taking taylor expansion of 1 in y 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.587 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.588 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.588 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.588 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.588 * [taylor]: Taking taylor expansion of 4.0 in y 0.588 * [backup-simplify]: Simplify 4.0 into 4.0 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.590 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.590 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.594 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.597 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.606 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.606 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.606 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [backup-simplify]: Simplify x into x 0.606 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of 4.0 in y 0.606 * [backup-simplify]: Simplify 4.0 into 4.0 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of 4.0 in x 0.607 * [backup-simplify]: Simplify 4.0 into 4.0 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [backup-simplify]: Simplify y into y 0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of 4.0 in x 0.607 * [backup-simplify]: Simplify 4.0 into 4.0 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [backup-simplify]: Simplify y into y 0.607 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.608 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.608 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.608 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.608 * [taylor]: Taking taylor expansion of 4.0 in y 0.608 * [backup-simplify]: Simplify 4.0 into 4.0 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.609 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.609 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.611 * [backup-simplify]: Simplify (+ 1 0) into 1 0.611 * [taylor]: Taking taylor expansion of 1 in y 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.612 * [backup-simplify]: Simplify 4.0 into 4.0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.613 * [backup-simplify]: Simplify (+ 0 0) into 0 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.617 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.618 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [backup-simplify]: Simplify x into x 0.618 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.618 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.618 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.618 * [taylor]: Taking taylor expansion of 4.0 in y 0.618 * [backup-simplify]: Simplify 4.0 into 4.0 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of 4.0 in x 0.619 * [backup-simplify]: Simplify 4.0 into 4.0 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [backup-simplify]: Simplify y into y 0.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.620 * [taylor]: Taking taylor expansion of 4.0 in x 0.620 * [backup-simplify]: Simplify 4.0 into 4.0 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [backup-simplify]: Simplify y into y 0.620 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.620 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.621 * [backup-simplify]: Simplify (+ 1 0) into 1 0.621 * [taylor]: Taking taylor expansion of 1 in y 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.623 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.623 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.623 * [taylor]: Taking taylor expansion of 4.0 in y 0.624 * [backup-simplify]: Simplify 4.0 into 4.0 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.624 * [backup-simplify]: Simplify 4.0 into 4.0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.633 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.633 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [backup-simplify]: Simplify x into x 0.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.633 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.633 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.633 * [taylor]: Taking taylor expansion of 4.0 in y 0.633 * [backup-simplify]: Simplify 4.0 into 4.0 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (* 1 1) into 1 0.634 * [backup-simplify]: Simplify (/ 1 1) into 1 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.635 * [taylor]: Taking taylor expansion of 4.0 in x 0.635 * [backup-simplify]: Simplify 4.0 into 4.0 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [backup-simplify]: Simplify y into y 0.635 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.636 * [taylor]: Taking taylor expansion of 4.0 in x 0.636 * [backup-simplify]: Simplify 4.0 into 4.0 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [backup-simplify]: Simplify y into y 0.636 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.636 * [backup-simplify]: Simplify (+ 1 0) into 1 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.639 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.639 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.639 * [taylor]: Taking taylor expansion of 4.0 in y 0.639 * [backup-simplify]: Simplify 4.0 into 4.0 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.640 * [backup-simplify]: Simplify 4.0 into 4.0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.641 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.648 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 0.651 * * * [progress]: simplifying candidates 0.653 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 0.655 * * [simplify]: Extracting # 0 : cost 0 0.655 * * [simplify]: Extracting # 1 : cost 0 0.655 * * [simplify]: Extracting # 2 : cost 0 0.655 * * [simplify]: Extracting # 3 : cost 0 0.655 * * [simplify]: Extracting # 4 : cost 0 0.655 * * [simplify]: Extracting # 5 : cost 0 0.655 * * [simplify]: Extracting # 6 : cost 0 0.655 * * [simplify]: Extracting # 7 : cost 0 0.655 * * [simplify]: iteration 0 : 87 enodes (cost 1404 ) 0.679 * * [simplify]: Extracting # 0 : cost 0 0.679 * * [simplify]: Extracting # 1 : cost 0 0.680 * * [simplify]: Extracting # 2 : cost 0 0.680 * * [simplify]: Extracting # 3 : cost 0 0.681 * * [simplify]: Extracting # 4 : cost 0 0.681 * * [simplify]: iteration 1 : 233 enodes (cost 1375 ) 0.785 * * [simplify]: Extracting # 0 : cost 0 0.787 * * [simplify]: Extracting # 1 : cost 0 0.788 * * [simplify]: Extracting # 2 : cost 0 0.790 * * [simplify]: Extracting # 3 : cost 0 0.792 * * [simplify]: Extracting # 4 : cost 0 0.793 * * [simplify]: iteration 2 : 769 enodes (cost 1233 ) 1.460 * * [simplify]: Extracting # 0 : cost 0 1.475 * * [simplify]: Extracting # 1 : cost 0 1.480 * * [simplify]: Extracting # 2 : cost 0 1.483 * * [simplify]: Extracting # 3 : cost 0 1.486 * * [simplify]: Extracting # 4 : cost 0 1.489 * * [simplify]: iteration 3 : 2891 enodes (cost 1226 ) 3.590 * * [simplify]: Extracting # 0 : cost 0 3.596 * * [simplify]: Extracting # 1 : cost 0 3.602 * * [simplify]: Extracting # 2 : cost 0 3.607 * * [simplify]: Extracting # 3 : cost 0 3.614 * * [simplify]: Extracting # 4 : cost 0 3.620 * * [simplify]: iteration done: 5001 enodes (cost 1210 ) 3.620 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (pow x 2) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (* (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4)) (+ (pow x 2) (* 4.0 (pow y 2)))) (* (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (pow x 4)) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (pow y 4) (* 4.0 4.0))) (+ (* 4.0 (pow y 2)) (pow x 2)) (- (* 4.0 (pow y 2))) (exp (+ (* x x) (* (* y 4.0) y))) (log (+ (* 4.0 (pow y 2)) (pow x 2))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (+ (* 4.0 (pow y 2)) (pow x 2)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 4) (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x)))) (- (pow x 4) (* (pow y 4) (* 4.0 4.0))) (- (pow x 2) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* (* y 4.0) y)) (- (pow x 2) (* (* y 4.0) y)) (- (pow x 2) (* (* y 4.0) y)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 3.621 * * * [progress]: adding candidates to table 3.804 * * [progress]: iteration 2 / 4 3.804 * * * [progress]: picking best candidate 3.812 * * * * [pick]: Picked # 3.812 * * * [progress]: localizing error 3.813 * * * [progress]: generating rewritten candidates 3.813 * * * [progress]: generating series expansions 3.813 * * * [progress]: simplifying candidates 3.813 * [simplify]: Simplifying: 3.813 * * [simplify]: Extracting # 0 : cost 0 3.813 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 3.813 * * [simplify]: Extracting # 0 : cost 0 3.813 * * [simplify]: iteration done: 0 enodes (cost 0 ) 3.813 * [simplify]: Simplified to: 3.813 * * * [progress]: adding candidates to table 3.813 * * [progress]: iteration 3 / 4 3.813 * * * [progress]: picking best candidate 3.821 * * * * [pick]: Picked # 3.821 * * * [progress]: localizing error 3.836 * * * [progress]: generating rewritten candidates 3.836 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.889 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 3.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.946 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.961 * * * [progress]: generating series expansions 3.961 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.962 * [backup-simplify]: Simplify (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) into (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) 3.962 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.962 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in y 3.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.962 * [taylor]: Taking taylor expansion of x in y 3.962 * [backup-simplify]: Simplify x into x 3.962 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.962 * [taylor]: Taking taylor expansion of 4.0 in y 3.962 * [backup-simplify]: Simplify 4.0 into 4.0 3.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.962 * [taylor]: Taking taylor expansion of y in y 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 3.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.962 * [taylor]: Taking taylor expansion of x in y 3.962 * [backup-simplify]: Simplify x into x 3.962 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.962 * [taylor]: Taking taylor expansion of 4.0 in y 3.962 * [backup-simplify]: Simplify 4.0 into 4.0 3.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.962 * [taylor]: Taking taylor expansion of y in y 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.962 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.962 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.962 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.963 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.963 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in x 3.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.963 * [taylor]: Taking taylor expansion of 4.0 in x 3.963 * [backup-simplify]: Simplify 4.0 into 4.0 3.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.963 * [taylor]: Taking taylor expansion of y in x 3.963 * [backup-simplify]: Simplify y into y 3.963 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.963 * [taylor]: Taking taylor expansion of 4.0 in x 3.963 * [backup-simplify]: Simplify 4.0 into 4.0 3.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.963 * [taylor]: Taking taylor expansion of y in x 3.963 * [backup-simplify]: Simplify y into y 3.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.963 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.963 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.963 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.963 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.964 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.964 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 3.964 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2)))) in x 3.964 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.964 * [taylor]: Taking taylor expansion of 4.0 in x 3.964 * [backup-simplify]: Simplify 4.0 into 4.0 3.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.964 * [taylor]: Taking taylor expansion of y in x 3.964 * [backup-simplify]: Simplify y into y 3.964 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 3.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.964 * [taylor]: Taking taylor expansion of x in x 3.964 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify 1 into 1 3.964 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.964 * [taylor]: Taking taylor expansion of 4.0 in x 3.964 * [backup-simplify]: Simplify 4.0 into 4.0 3.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.964 * [taylor]: Taking taylor expansion of y in x 3.964 * [backup-simplify]: Simplify y into y 3.964 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.964 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.964 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.965 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.965 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.965 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 3.965 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 3.965 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 3.965 * [taylor]: Taking taylor expansion of -1.0 in y 3.965 * [backup-simplify]: Simplify -1.0 into -1.0 3.965 * [backup-simplify]: Simplify -1.0 into -1.0 3.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.966 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.967 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0 3.968 * [taylor]: Taking taylor expansion of 0 in y 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.969 * [backup-simplify]: Simplify (+ 1 0) into 1 3.969 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.970 * [backup-simplify]: Simplify (- 0) into 0 3.971 * [backup-simplify]: Simplify (+ 1 0) into 1 3.971 * [backup-simplify]: Simplify (- (/ 1 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 1 (- (* 4.0 (pow y 2))))) (* 0 (/ 0 (- (* 4.0 (pow y 2))))))) into (- (* 0.5 (/ 1 (pow y 2)))) 3.971 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y 3.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.971 * [taylor]: Taking taylor expansion of 0.5 in y 3.971 * [backup-simplify]: Simplify 0.5 into 0.5 3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.971 * [taylor]: Taking taylor expansion of y in y 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (* 1 1) into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.977 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.978 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.980 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.982 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))) (* 0 (/ 1 (- (* 4.0 (pow y 2))))) (* (- (* 0.5 (/ 1 (pow y 2)))) (/ 0 (- (* 4.0 (pow y 2))))))) into 0 3.984 * [taylor]: Taking taylor expansion of 0 in y 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify -1.0 into -1.0 3.984 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 3.984 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 3.984 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.985 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.985 * [taylor]: Taking taylor expansion of x in y 3.985 * [backup-simplify]: Simplify x into x 3.985 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.985 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.985 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.985 * [taylor]: Taking taylor expansion of 4.0 in y 3.985 * [backup-simplify]: Simplify 4.0 into 4.0 3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.985 * [taylor]: Taking taylor expansion of y in y 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (* 1 1) into 1 3.986 * [backup-simplify]: Simplify (/ 1 1) into 1 3.986 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.986 * [taylor]: Taking taylor expansion of x in y 3.986 * [backup-simplify]: Simplify x into x 3.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.986 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.986 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.986 * [taylor]: Taking taylor expansion of 4.0 in y 3.986 * [backup-simplify]: Simplify 4.0 into 4.0 3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.986 * [taylor]: Taking taylor expansion of y in y 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (* 1 1) into 1 3.987 * [backup-simplify]: Simplify (/ 1 1) into 1 3.988 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.988 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.989 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.989 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 3.990 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 3.991 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 3.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.992 * [taylor]: Taking taylor expansion of x in x 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.992 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.992 * [taylor]: Taking taylor expansion of 4.0 in x 3.992 * [backup-simplify]: Simplify 4.0 into 4.0 3.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.993 * [taylor]: Taking taylor expansion of y in x 3.993 * [backup-simplify]: Simplify y into y 3.993 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.993 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.993 * [taylor]: Taking taylor expansion of x in x 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.994 * [taylor]: Taking taylor expansion of 4.0 in x 3.994 * [backup-simplify]: Simplify 4.0 into 4.0 3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.994 * [taylor]: Taking taylor expansion of y in x 3.994 * [backup-simplify]: Simplify y into y 3.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.994 * [backup-simplify]: Simplify (+ 1 0) into 1 3.995 * [backup-simplify]: Simplify (+ 1 0) into 1 3.995 * [backup-simplify]: Simplify (/ 1 1) into 1 3.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.995 * [taylor]: Taking taylor expansion of x in x 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* 1 1) into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.996 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.996 * [taylor]: Taking taylor expansion of 4.0 in x 3.996 * [backup-simplify]: Simplify 4.0 into 4.0 3.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.996 * [taylor]: Taking taylor expansion of y in x 3.996 * [backup-simplify]: Simplify y into y 3.996 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.996 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.996 * [taylor]: Taking taylor expansion of x in x 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.997 * [taylor]: Taking taylor expansion of 4.0 in x 3.997 * [backup-simplify]: Simplify 4.0 into 4.0 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.997 * [taylor]: Taking taylor expansion of y in x 3.997 * [backup-simplify]: Simplify y into y 3.997 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.997 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.997 * [backup-simplify]: Simplify (+ 1 0) into 1 3.997 * [backup-simplify]: Simplify (+ 1 0) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [taylor]: Taking taylor expansion of 1 in y 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify (+ 0 0) into 0 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.000 * [taylor]: Taking taylor expansion of 0 in y 4.000 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.002 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.002 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.003 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.003 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.004 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.004 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2))) 4.004 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.004 * [taylor]: Taking taylor expansion of 8.0 in y 4.004 * [backup-simplify]: Simplify 8.0 into 8.0 4.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.004 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.004 * [taylor]: Taking taylor expansion of y in y 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (* 1 1) into 1 4.005 * [backup-simplify]: Simplify (/ 1 1) into 1 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.013 * [taylor]: Taking taylor expansion of 0 in y 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 4.014 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 4.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.014 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.014 * [taylor]: Taking taylor expansion of x in y 4.014 * [backup-simplify]: Simplify x into x 4.014 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.014 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.014 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.014 * [taylor]: Taking taylor expansion of 4.0 in y 4.014 * [backup-simplify]: Simplify 4.0 into 4.0 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.014 * [taylor]: Taking taylor expansion of y in y 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.018 * [taylor]: Taking taylor expansion of x in y 4.018 * [backup-simplify]: Simplify x into x 4.018 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.019 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.019 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.019 * [taylor]: Taking taylor expansion of 4.0 in y 4.019 * [backup-simplify]: Simplify 4.0 into 4.0 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.019 * [taylor]: Taking taylor expansion of y in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.020 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.020 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.020 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.021 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.021 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 4.022 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.022 * [taylor]: Taking taylor expansion of x in x 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.022 * [taylor]: Taking taylor expansion of 4.0 in x 4.022 * [backup-simplify]: Simplify 4.0 into 4.0 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.022 * [taylor]: Taking taylor expansion of y in x 4.022 * [backup-simplify]: Simplify y into y 4.022 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.023 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.023 * [taylor]: Taking taylor expansion of x in x 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.023 * [taylor]: Taking taylor expansion of 4.0 in x 4.023 * [backup-simplify]: Simplify 4.0 into 4.0 4.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.023 * [taylor]: Taking taylor expansion of y in x 4.023 * [backup-simplify]: Simplify y into y 4.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.023 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.024 * [backup-simplify]: Simplify (+ 1 0) into 1 4.024 * [backup-simplify]: Simplify (+ 1 0) into 1 4.024 * [backup-simplify]: Simplify (/ 1 1) into 1 4.024 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.024 * [taylor]: Taking taylor expansion of x in x 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.025 * [taylor]: Taking taylor expansion of 4.0 in x 4.025 * [backup-simplify]: Simplify 4.0 into 4.0 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.025 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.025 * [taylor]: Taking taylor expansion of y in x 4.025 * [backup-simplify]: Simplify y into y 4.025 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.025 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.025 * [taylor]: Taking taylor expansion of x in x 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (/ 1 1) into 1 4.026 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.026 * [taylor]: Taking taylor expansion of 4.0 in x 4.026 * [backup-simplify]: Simplify 4.0 into 4.0 4.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.026 * [taylor]: Taking taylor expansion of y in x 4.026 * [backup-simplify]: Simplify y into y 4.026 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.026 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.026 * [backup-simplify]: Simplify (+ 1 0) into 1 4.027 * [backup-simplify]: Simplify (+ 1 0) into 1 4.027 * [backup-simplify]: Simplify (/ 1 1) into 1 4.027 * [taylor]: Taking taylor expansion of 1 in y 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.030 * [taylor]: Taking taylor expansion of 0 in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.031 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.033 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.033 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.034 * [backup-simplify]: Simplify (- (/ (* 4.0 (/ 1 (pow y 2))) 1) (+ (* 1 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 8.0 (/ 1 (pow y 2))) 4.034 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.034 * [taylor]: Taking taylor expansion of 8.0 in y 4.034 * [backup-simplify]: Simplify 8.0 into 8.0 4.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.034 * [taylor]: Taking taylor expansion of y in y 4.034 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify 1 into 1 4.034 * [backup-simplify]: Simplify (* 1 1) into 1 4.034 * [backup-simplify]: Simplify (/ 1 1) into 1 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 4.0 (/ 1 (pow y 2)))) 1)) (* (* 8.0 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.043 * [taylor]: Taking taylor expansion of 0 in y 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 4.043 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 4.043 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 4.043 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.043 * [taylor]: Taking taylor expansion of x in y 4.043 * [backup-simplify]: Simplify x into x 4.043 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.043 * [taylor]: Taking taylor expansion of 4.0 in y 4.043 * [backup-simplify]: Simplify 4.0 into 4.0 4.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.043 * [taylor]: Taking taylor expansion of y in y 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.043 * [taylor]: Taking taylor expansion of x in x 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.044 * [taylor]: Taking taylor expansion of 4.0 in x 4.044 * [backup-simplify]: Simplify 4.0 into 4.0 4.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.044 * [taylor]: Taking taylor expansion of y in x 4.044 * [backup-simplify]: Simplify y into y 4.044 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.044 * [taylor]: Taking taylor expansion of x in x 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.044 * [taylor]: Taking taylor expansion of 4.0 in x 4.044 * [backup-simplify]: Simplify 4.0 into 4.0 4.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.044 * [taylor]: Taking taylor expansion of y in x 4.044 * [backup-simplify]: Simplify y into y 4.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.044 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.044 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.044 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.044 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 4.044 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.044 * [taylor]: Taking taylor expansion of 4.0 in y 4.044 * [backup-simplify]: Simplify 4.0 into 4.0 4.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.044 * [taylor]: Taking taylor expansion of y in y 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.045 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.045 * [backup-simplify]: Simplify (- 0) into 0 4.045 * [backup-simplify]: Simplify (+ 0 0) into 0 4.045 * [taylor]: Taking taylor expansion of 0 in y 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (* 1 1) into 1 4.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify (+ 1 0) into 1 4.047 * [taylor]: Taking taylor expansion of 1 in y 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.048 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.048 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.048 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.050 * [backup-simplify]: Simplify (- 0) into 0 4.050 * [backup-simplify]: Simplify (+ 0 0) into 0 4.050 * [taylor]: Taking taylor expansion of 0 in y 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [taylor]: Taking taylor expansion of 0 in y 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.055 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.055 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.055 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.055 * [taylor]: Taking taylor expansion of x in y 4.055 * [backup-simplify]: Simplify x into x 4.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.055 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.055 * [taylor]: Taking taylor expansion of 4.0 in y 4.056 * [backup-simplify]: Simplify 4.0 into 4.0 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.056 * [taylor]: Taking taylor expansion of y in y 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.057 * [taylor]: Taking taylor expansion of 4.0 in x 4.057 * [backup-simplify]: Simplify 4.0 into 4.0 4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.057 * [taylor]: Taking taylor expansion of y in x 4.057 * [backup-simplify]: Simplify y into y 4.057 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.057 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.057 * [taylor]: Taking taylor expansion of x in x 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.058 * [taylor]: Taking taylor expansion of 4.0 in x 4.058 * [backup-simplify]: Simplify 4.0 into 4.0 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.058 * [taylor]: Taking taylor expansion of y in x 4.058 * [backup-simplify]: Simplify y into y 4.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.058 * [backup-simplify]: Simplify (+ 1 0) into 1 4.059 * [taylor]: Taking taylor expansion of 1 in y 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [taylor]: Taking taylor expansion of 0 in y 4.060 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.063 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.063 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.063 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.064 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.064 * [taylor]: Taking taylor expansion of 4.0 in y 4.064 * [backup-simplify]: Simplify 4.0 into 4.0 4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.064 * [taylor]: Taking taylor expansion of y in y 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.065 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.066 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.069 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.070 * [backup-simplify]: Simplify (- 0) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [taylor]: Taking taylor expansion of 0 in y 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.073 * [backup-simplify]: Simplify (- 0) into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.077 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.078 * [taylor]: Taking taylor expansion of 0 in y 4.078 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.083 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.083 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.083 * [taylor]: Taking taylor expansion of x in y 4.084 * [backup-simplify]: Simplify x into x 4.084 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.084 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.084 * [taylor]: Taking taylor expansion of 4.0 in y 4.084 * [backup-simplify]: Simplify 4.0 into 4.0 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.084 * [taylor]: Taking taylor expansion of y in y 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.085 * [taylor]: Taking taylor expansion of x in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.086 * [taylor]: Taking taylor expansion of 4.0 in x 4.086 * [backup-simplify]: Simplify 4.0 into 4.0 4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.086 * [taylor]: Taking taylor expansion of y in x 4.086 * [backup-simplify]: Simplify y into y 4.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.087 * [taylor]: Taking taylor expansion of x in x 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (* 1 1) into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.088 * [taylor]: Taking taylor expansion of 4.0 in x 4.088 * [backup-simplify]: Simplify 4.0 into 4.0 4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.088 * [taylor]: Taking taylor expansion of y in x 4.088 * [backup-simplify]: Simplify y into y 4.088 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.089 * [backup-simplify]: Simplify (+ 1 0) into 1 4.089 * [taylor]: Taking taylor expansion of 1 in y 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [taylor]: Taking taylor expansion of 0 in y 4.091 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.093 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.094 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.094 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.094 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.094 * [taylor]: Taking taylor expansion of 4.0 in y 4.094 * [backup-simplify]: Simplify 4.0 into 4.0 4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.094 * [taylor]: Taking taylor expansion of y in y 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.095 * [backup-simplify]: Simplify (/ 1 1) into 1 4.095 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.096 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.096 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.100 * [backup-simplify]: Simplify (- 0) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [taylor]: Taking taylor expansion of 0 in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.107 * [backup-simplify]: Simplify (- 0) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [taylor]: Taking taylor expansion of 0 in y 4.108 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.112 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.113 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 4.113 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 4.113 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 4.113 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.113 * [taylor]: Taking taylor expansion of x in y 4.113 * [backup-simplify]: Simplify x into x 4.113 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.113 * [taylor]: Taking taylor expansion of 4.0 in y 4.113 * [backup-simplify]: Simplify 4.0 into 4.0 4.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.113 * [taylor]: Taking taylor expansion of y in y 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.113 * [taylor]: Taking taylor expansion of x in y 4.113 * [backup-simplify]: Simplify x into x 4.113 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.113 * [taylor]: Taking taylor expansion of 4.0 in y 4.113 * [backup-simplify]: Simplify 4.0 into 4.0 4.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.114 * [taylor]: Taking taylor expansion of y in y 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.114 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.114 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.114 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.114 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.114 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.114 * [taylor]: Taking taylor expansion of x in x 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.115 * [taylor]: Taking taylor expansion of 4.0 in x 4.115 * [backup-simplify]: Simplify 4.0 into 4.0 4.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.115 * [taylor]: Taking taylor expansion of y in x 4.115 * [backup-simplify]: Simplify y into y 4.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.115 * [taylor]: Taking taylor expansion of x in x 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.115 * [taylor]: Taking taylor expansion of 4.0 in x 4.115 * [backup-simplify]: Simplify 4.0 into 4.0 4.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.115 * [taylor]: Taking taylor expansion of y in x 4.115 * [backup-simplify]: Simplify y into y 4.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.115 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.115 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.116 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.116 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.116 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.116 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.116 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 4.116 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.116 * [taylor]: Taking taylor expansion of x in x 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.117 * [taylor]: Taking taylor expansion of 4.0 in x 4.117 * [backup-simplify]: Simplify 4.0 into 4.0 4.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.117 * [taylor]: Taking taylor expansion of x in x 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.117 * [taylor]: Taking taylor expansion of 4.0 in x 4.117 * [backup-simplify]: Simplify 4.0 into 4.0 4.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.117 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.117 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.118 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.118 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.118 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.118 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.118 * [taylor]: Taking taylor expansion of -1.0 in y 4.118 * [backup-simplify]: Simplify -1.0 into -1.0 4.118 * [backup-simplify]: Simplify -1.0 into -1.0 4.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.119 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.121 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.121 * [taylor]: Taking taylor expansion of 0 in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (* 1 1) into 1 4.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.123 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.123 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ 1 0) into 1 4.124 * [backup-simplify]: Simplify (* 1 1) into 1 4.125 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.126 * [backup-simplify]: Simplify (+ 1 0) into 1 4.127 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 4.127 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.127 * [taylor]: Taking taylor expansion of 0.5 in y 4.127 * [backup-simplify]: Simplify 0.5 into 0.5 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.127 * [taylor]: Taking taylor expansion of y in y 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 4.139 * [taylor]: Taking taylor expansion of 0 in y 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify -1.0 into -1.0 4.140 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 4.140 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 4.140 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.140 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.140 * [taylor]: Taking taylor expansion of x in y 4.140 * [backup-simplify]: Simplify x into x 4.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.140 * [taylor]: Taking taylor expansion of 4.0 in y 4.140 * [backup-simplify]: Simplify 4.0 into 4.0 4.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.140 * [taylor]: Taking taylor expansion of y in y 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (* 1 1) into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.142 * [taylor]: Taking taylor expansion of x in y 4.142 * [backup-simplify]: Simplify x into x 4.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.142 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.142 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.142 * [taylor]: Taking taylor expansion of 4.0 in y 4.142 * [backup-simplify]: Simplify 4.0 into 4.0 4.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.142 * [taylor]: Taking taylor expansion of y in y 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (* 1 1) into 1 4.143 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.144 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.145 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.145 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.146 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.146 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.146 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.147 * [taylor]: Taking taylor expansion of x in x 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (* 1 1) into 1 4.147 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.147 * [taylor]: Taking taylor expansion of 4.0 in x 4.148 * [backup-simplify]: Simplify 4.0 into 4.0 4.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.148 * [taylor]: Taking taylor expansion of y in x 4.148 * [backup-simplify]: Simplify y into y 4.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.148 * [taylor]: Taking taylor expansion of x in x 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.149 * [taylor]: Taking taylor expansion of 4.0 in x 4.149 * [backup-simplify]: Simplify 4.0 into 4.0 4.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.149 * [taylor]: Taking taylor expansion of y in x 4.149 * [backup-simplify]: Simplify y into y 4.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (/ 1 1) into 1 4.150 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.151 * [taylor]: Taking taylor expansion of x in x 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (* 1 1) into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.151 * [taylor]: Taking taylor expansion of 4.0 in x 4.151 * [backup-simplify]: Simplify 4.0 into 4.0 4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.152 * [taylor]: Taking taylor expansion of y in x 4.152 * [backup-simplify]: Simplify y into y 4.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.153 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.153 * [taylor]: Taking taylor expansion of 4.0 in x 4.153 * [backup-simplify]: Simplify 4.0 into 4.0 4.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.153 * [taylor]: Taking taylor expansion of y in x 4.153 * [backup-simplify]: Simplify y into y 4.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.154 * [backup-simplify]: Simplify (+ 1 0) into 1 4.157 * [backup-simplify]: Simplify (+ 1 0) into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [taylor]: Taking taylor expansion of 1 in y 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify 1 into 1 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ 0 0) into 0 4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.161 * [taylor]: Taking taylor expansion of 0 in y 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.163 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.163 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.164 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.165 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.165 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.165 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.165 * [taylor]: Taking taylor expansion of 8.0 in y 4.165 * [backup-simplify]: Simplify 8.0 into 8.0 4.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.165 * [taylor]: Taking taylor expansion of y in y 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (* 1 1) into 1 4.166 * [backup-simplify]: Simplify (/ 1 1) into 1 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.174 * [taylor]: Taking taylor expansion of 0 in y 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 4.175 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 4.175 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 4.175 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.175 * [taylor]: Taking taylor expansion of x in y 4.175 * [backup-simplify]: Simplify x into x 4.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.175 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.175 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.175 * [taylor]: Taking taylor expansion of 4.0 in y 4.175 * [backup-simplify]: Simplify 4.0 into 4.0 4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.175 * [taylor]: Taking taylor expansion of y in y 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.176 * [backup-simplify]: Simplify (* 1 1) into 1 4.176 * [backup-simplify]: Simplify (/ 1 1) into 1 4.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.176 * [taylor]: Taking taylor expansion of x in y 4.176 * [backup-simplify]: Simplify x into x 4.176 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.177 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.177 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.177 * [taylor]: Taking taylor expansion of 4.0 in y 4.177 * [backup-simplify]: Simplify 4.0 into 4.0 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.177 * [taylor]: Taking taylor expansion of y in y 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (* 1 1) into 1 4.177 * [backup-simplify]: Simplify (/ 1 1) into 1 4.177 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.178 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.178 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.179 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.179 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 4.179 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.179 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.179 * [taylor]: Taking taylor expansion of x in x 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (* 1 1) into 1 4.180 * [backup-simplify]: Simplify (/ 1 1) into 1 4.180 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.180 * [taylor]: Taking taylor expansion of 4.0 in x 4.180 * [backup-simplify]: Simplify 4.0 into 4.0 4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.180 * [taylor]: Taking taylor expansion of y in x 4.180 * [backup-simplify]: Simplify y into y 4.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (* 1 1) into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.181 * [taylor]: Taking taylor expansion of 4.0 in x 4.181 * [backup-simplify]: Simplify 4.0 into 4.0 4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.181 * [taylor]: Taking taylor expansion of y in x 4.181 * [backup-simplify]: Simplify y into y 4.181 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.181 * [backup-simplify]: Simplify (+ 1 0) into 1 4.182 * [backup-simplify]: Simplify (+ 1 0) into 1 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 4.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.182 * [taylor]: Taking taylor expansion of x in x 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (* 1 1) into 1 4.183 * [backup-simplify]: Simplify (/ 1 1) into 1 4.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.183 * [taylor]: Taking taylor expansion of 4.0 in x 4.183 * [backup-simplify]: Simplify 4.0 into 4.0 4.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.183 * [taylor]: Taking taylor expansion of y in x 4.183 * [backup-simplify]: Simplify y into y 4.183 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.183 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.183 * [taylor]: Taking taylor expansion of x in x 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (* 1 1) into 1 4.183 * [backup-simplify]: Simplify (/ 1 1) into 1 4.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.184 * [taylor]: Taking taylor expansion of 4.0 in x 4.184 * [backup-simplify]: Simplify 4.0 into 4.0 4.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.184 * [taylor]: Taking taylor expansion of y in x 4.184 * [backup-simplify]: Simplify y into y 4.184 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.184 * [backup-simplify]: Simplify (+ 1 0) into 1 4.184 * [backup-simplify]: Simplify (+ 1 0) into 1 4.185 * [backup-simplify]: Simplify (/ 1 1) into 1 4.185 * [taylor]: Taking taylor expansion of 1 in y 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ 0 0) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.187 * [taylor]: Taking taylor expansion of 0 in y 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.189 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.189 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.190 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.190 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.191 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 4.191 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.191 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.191 * [taylor]: Taking taylor expansion of 8.0 in y 4.191 * [backup-simplify]: Simplify 8.0 into 8.0 4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.191 * [taylor]: Taking taylor expansion of y in y 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (* 1 1) into 1 4.192 * [backup-simplify]: Simplify (/ 1 1) into 1 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.194 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.196 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.199 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.199 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.201 * [taylor]: Taking taylor expansion of 0 in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.202 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 4.202 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 4.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 4.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.202 * [taylor]: Taking taylor expansion of x in y 4.202 * [backup-simplify]: Simplify x into x 4.202 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.202 * [taylor]: Taking taylor expansion of 4.0 in y 4.202 * [backup-simplify]: Simplify 4.0 into 4.0 4.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.202 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.203 * [taylor]: Taking taylor expansion of 4.0 in x 4.203 * [backup-simplify]: Simplify 4.0 into 4.0 4.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.203 * [taylor]: Taking taylor expansion of y in x 4.203 * [backup-simplify]: Simplify y into y 4.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 4.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.203 * [taylor]: Taking taylor expansion of 4.0 in x 4.203 * [backup-simplify]: Simplify 4.0 into 4.0 4.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.203 * [taylor]: Taking taylor expansion of y in x 4.203 * [backup-simplify]: Simplify y into y 4.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.203 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.204 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 4.204 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.204 * [taylor]: Taking taylor expansion of 4.0 in y 4.204 * [backup-simplify]: Simplify 4.0 into 4.0 4.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.204 * [taylor]: Taking taylor expansion of y in y 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.205 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [taylor]: Taking taylor expansion of 0 in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.206 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.207 * [backup-simplify]: Simplify (+ 1 0) into 1 4.207 * [taylor]: Taking taylor expansion of 1 in y 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (* 1 1) into 1 4.208 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.208 * [backup-simplify]: Simplify 4.0 into 4.0 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.217 * [backup-simplify]: Simplify (+ 0 0) into 0 4.217 * [taylor]: Taking taylor expansion of 0 in y 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 4.218 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.218 * [taylor]: Taking taylor expansion of x in y 4.218 * [backup-simplify]: Simplify x into x 4.218 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.219 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.219 * [taylor]: Taking taylor expansion of 4.0 in y 4.219 * [backup-simplify]: Simplify 4.0 into 4.0 4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.219 * [taylor]: Taking taylor expansion of y in y 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.220 * [taylor]: Taking taylor expansion of x in x 4.220 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.221 * [taylor]: Taking taylor expansion of 4.0 in x 4.221 * [backup-simplify]: Simplify 4.0 into 4.0 4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.221 * [taylor]: Taking taylor expansion of y in x 4.221 * [backup-simplify]: Simplify y into y 4.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (* 1 1) into 1 4.222 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.222 * [taylor]: Taking taylor expansion of 4.0 in x 4.222 * [backup-simplify]: Simplify 4.0 into 4.0 4.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.222 * [taylor]: Taking taylor expansion of y in x 4.222 * [backup-simplify]: Simplify y into y 4.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.223 * [taylor]: Taking taylor expansion of 1 in y 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [taylor]: Taking taylor expansion of 0 in y 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.227 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.227 * [taylor]: Taking taylor expansion of 4.0 in y 4.227 * [backup-simplify]: Simplify 4.0 into 4.0 4.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.227 * [taylor]: Taking taylor expansion of y in y 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (* 1 1) into 1 4.228 * [backup-simplify]: Simplify (/ 1 1) into 1 4.228 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.228 * [backup-simplify]: Simplify 4.0 into 4.0 4.228 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.232 * [backup-simplify]: Simplify (+ 0 0) into 0 4.232 * [taylor]: Taking taylor expansion of 0 in y 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [taylor]: Taking taylor expansion of 0 in y 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 4.243 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.243 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.244 * [taylor]: Taking taylor expansion of x in y 4.244 * [backup-simplify]: Simplify x into x 4.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.244 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.244 * [taylor]: Taking taylor expansion of 4.0 in y 4.244 * [backup-simplify]: Simplify 4.0 into 4.0 4.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.244 * [taylor]: Taking taylor expansion of y in y 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (* 1 1) into 1 4.245 * [backup-simplify]: Simplify (/ 1 1) into 1 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.246 * [taylor]: Taking taylor expansion of 4.0 in x 4.246 * [backup-simplify]: Simplify 4.0 into 4.0 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.246 * [taylor]: Taking taylor expansion of y in x 4.246 * [backup-simplify]: Simplify y into y 4.246 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.246 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.246 * [taylor]: Taking taylor expansion of x in x 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1 1) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.247 * [taylor]: Taking taylor expansion of 4.0 in x 4.247 * [backup-simplify]: Simplify 4.0 into 4.0 4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.247 * [taylor]: Taking taylor expansion of y in x 4.247 * [backup-simplify]: Simplify y into y 4.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.248 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [taylor]: Taking taylor expansion of 1 in y 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [taylor]: Taking taylor expansion of 0 in y 4.250 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.252 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 4.252 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.252 * [taylor]: Taking taylor expansion of 4.0 in y 4.252 * [backup-simplify]: Simplify 4.0 into 4.0 4.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.253 * [taylor]: Taking taylor expansion of y in y 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (* 1 1) into 1 4.253 * [backup-simplify]: Simplify (/ 1 1) into 1 4.254 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.254 * [backup-simplify]: Simplify 4.0 into 4.0 4.254 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.256 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.256 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [taylor]: Taking taylor expansion of 0 in y 4.256 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.260 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.260 * [taylor]: Taking taylor expansion of 0 in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 4.263 * * * [progress]: simplifying candidates 4.265 * [simplify]: Simplifying: (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y)))) (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (exp (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (- (+ (* x x) (* (* y 4.0) y))) (- (- (* x x) (* (* y 4.0) y))) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ 1 (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) 1) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (- (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (- 1) (- (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))) (- (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (- 0 (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))) (- 0 (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (- (log 1) (- (log (+ (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))))) (- (log 1) (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (log (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (exp (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (* (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (cbrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (* (* (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (sqrt (/ 1 (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (- 1) (- (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (/ (cbrt 1) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (cbrt 1) (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) 1)) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))) (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) 1)) (/ (cbrt 1) (/ (sqrt (+ (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))))) (/ (cbrt 1) 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2))) 4.271 * * [simplify]: Extracting # 0 : cost 0 4.271 * * [simplify]: Extracting # 1 : cost 0 4.271 * * [simplify]: Extracting # 2 : cost 0 4.271 * * [simplify]: Extracting # 3 : cost 0 4.272 * * [simplify]: Extracting # 4 : cost 0 4.272 * * [simplify]: Extracting # 5 : cost 0 4.272 * * [simplify]: Extracting # 6 : cost 0 4.272 * * [simplify]: iteration 0 : 192 enodes (cost 4490 ) 4.392 * * [simplify]: Extracting # 0 : cost 0 4.393 * * [simplify]: Extracting # 1 : cost 0 4.393 * * [simplify]: Extracting # 2 : cost 0 4.393 * * [simplify]: Extracting # 3 : cost 0 4.394 * * [simplify]: Extracting # 4 : cost 0 4.394 * * [simplify]: iteration 1 : 447 enodes (cost 4224 ) 4.573 * * [simplify]: Extracting # 0 : cost 0 4.575 * * [simplify]: Extracting # 1 : cost 0 4.577 * * [simplify]: Extracting # 2 : cost 0 4.578 * * [simplify]: Extracting # 3 : cost 0 4.579 * * [simplify]: Extracting # 4 : cost 0 4.580 * * [simplify]: Extracting # 5 : cost 0 4.582 * * [simplify]: iteration 2 : 1158 enodes (cost 3827 ) 5.659 * * [simplify]: Extracting # 0 : cost 0 5.664 * * [simplify]: Extracting # 1 : cost 0 5.669 * * [simplify]: Extracting # 2 : cost 0 5.673 * * [simplify]: Extracting # 3 : cost 0 5.676 * * [simplify]: Extracting # 4 : cost 0 5.680 * * [simplify]: iteration 3 : 4188 enodes (cost 3710 ) 7.653 * * [simplify]: Extracting # 0 : cost 0 7.659 * * [simplify]: Extracting # 1 : cost 0 7.665 * * [simplify]: Extracting # 2 : cost 0 7.683 * * [simplify]: iteration done: 5001 enodes (cost 3710 ) 7.685 * [simplify]: Simplified to: (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (log (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (exp (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (pow (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 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(* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (- (* x x) (* 4.0 (pow y 2))) (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4))) (- (* x x) (* 4.0 (pow y 2))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (- (* x x) (* 4.0 (pow y 2))) (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4))) (- (* x x) (* 4.0 (pow y 2))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (/ 1 (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* 4.0 (pow y 2)))) (+ (pow x 2) (* 4.0 (pow y 2)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (- (* x x) (* 4.0 (pow y 2))) (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ 1 (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4))) (- (* x x) (* 4.0 (pow y 2))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* 4.0 (pow y 2)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))) (cbrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))))) (/ 1 (sqrt (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) 1 1 (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (/ (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 2) (* 4.0 (pow y 2)))) (- (* x x) (* 4.0 (pow y 2))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* 4.0 (pow y 2)))) (exp (+ (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (pow (+ (* x x) (* (* y 4.0) y)) 3) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 4) (* y (* 4.0 (* y (- (* (* y 4.0) y) (* x x)))))) (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))) (- (* x x) (* 4.0 (pow y 2))) -1.0 1 1 (- (* x x) (* 4.0 (pow y 2))) (- (* x x) (* 4.0 (pow y 2))) (- (* x x) (* 4.0 (pow y 2))) -1.0 1 1 (+ (* x x) (* 4.0 (pow y 2))) (+ (* x x) (* 4.0 (pow y 2))) (+ (* x x) (* 4.0 (pow y 2))) 7.686 * * * [progress]: adding candidates to table 8.120 * * [progress]: iteration 4 / 4 8.120 * * * [progress]: picking best candidate 8.130 * * * * [pick]: Picked # 8.130 * * * [progress]: localizing error 8.159 * * * [progress]: generating rewritten candidates 8.159 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 8.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 8.282 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 8.302 * * * [progress]: generating series expansions 8.302 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.303 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 8.303 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 8.303 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 8.303 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 8.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.303 * [taylor]: Taking taylor expansion of x in y 8.303 * [backup-simplify]: Simplify x into x 8.303 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.303 * [taylor]: Taking taylor expansion of 4.0 in y 8.303 * [backup-simplify]: Simplify 4.0 into 4.0 8.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.303 * [taylor]: Taking taylor expansion of y in y 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.304 * [taylor]: Taking taylor expansion of x in y 8.304 * [backup-simplify]: Simplify x into x 8.304 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.304 * [taylor]: Taking taylor expansion of 4.0 in y 8.304 * [backup-simplify]: Simplify 4.0 into 4.0 8.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.304 * [taylor]: Taking taylor expansion of y in y 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.304 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.304 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.304 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.305 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.305 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.305 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 8.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.305 * [taylor]: Taking taylor expansion of x in x 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.305 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.305 * [taylor]: Taking taylor expansion of 4.0 in x 8.305 * [backup-simplify]: Simplify 4.0 into 4.0 8.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.305 * [taylor]: Taking taylor expansion of y in x 8.305 * [backup-simplify]: Simplify y into y 8.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.305 * [taylor]: Taking taylor expansion of x in x 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.305 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.305 * [taylor]: Taking taylor expansion of 4.0 in x 8.305 * [backup-simplify]: Simplify 4.0 into 4.0 8.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.305 * [taylor]: Taking taylor expansion of y in x 8.305 * [backup-simplify]: Simplify y into y 8.305 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.305 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.306 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 8.306 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 8.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.306 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.306 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.306 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 8.307 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.307 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 8.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.307 * [taylor]: Taking taylor expansion of x in x 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.307 * [taylor]: Taking taylor expansion of 4.0 in x 8.307 * [backup-simplify]: Simplify 4.0 into 4.0 8.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.307 * [taylor]: Taking taylor expansion of y in x 8.307 * [backup-simplify]: Simplify y into y 8.307 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.307 * [taylor]: Taking taylor expansion of x in x 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.307 * [taylor]: Taking taylor expansion of 4.0 in x 8.307 * [backup-simplify]: Simplify 4.0 into 4.0 8.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.307 * [taylor]: Taking taylor expansion of y in x 8.307 * [backup-simplify]: Simplify y into y 8.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.307 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.308 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 8.308 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 8.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.308 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.308 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.308 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 8.309 * [taylor]: Taking taylor expansion of -1.0 in y 8.309 * [backup-simplify]: Simplify -1.0 into -1.0 8.309 * [backup-simplify]: Simplify -1.0 into -1.0 8.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.310 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.310 * [backup-simplify]: Simplify (- 0) into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.311 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.311 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.312 * [backup-simplify]: Simplify (+ 0 0) into 0 8.312 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 8.312 * [taylor]: Taking taylor expansion of 0 in y 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify (* 1 1) into 1 8.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.314 * [backup-simplify]: Simplify (- 0) into 0 8.315 * [backup-simplify]: Simplify (+ 1 0) into 1 8.315 * [backup-simplify]: Simplify (* 1 1) into 1 8.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.317 * [backup-simplify]: Simplify (+ 1 0) into 1 8.318 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 8.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 8.318 * [taylor]: Taking taylor expansion of 0.5 in y 8.318 * [backup-simplify]: Simplify 0.5 into 0.5 8.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.318 * [taylor]: Taking taylor expansion of y in y 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (* 1 1) into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.331 * [backup-simplify]: Simplify (- 0) into 0 8.332 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.333 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 8.336 * [taylor]: Taking taylor expansion of 0 in y 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify -1.0 into -1.0 8.337 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.337 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.338 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.338 * [taylor]: Taking taylor expansion of x in y 8.338 * [backup-simplify]: Simplify x into x 8.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.338 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.338 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.338 * [taylor]: Taking taylor expansion of 4.0 in y 8.338 * [backup-simplify]: Simplify 4.0 into 4.0 8.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.338 * [taylor]: Taking taylor expansion of y in y 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.339 * [taylor]: Taking taylor expansion of x in y 8.339 * [backup-simplify]: Simplify x into x 8.339 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.340 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.340 * [taylor]: Taking taylor expansion of 4.0 in y 8.340 * [backup-simplify]: Simplify 4.0 into 4.0 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.340 * [taylor]: Taking taylor expansion of y in y 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (* 1 1) into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.342 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.343 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 8.343 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.344 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.345 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 8.345 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.345 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.345 * [taylor]: Taking taylor expansion of x in x 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [backup-simplify]: Simplify (* 1 1) into 1 8.346 * [backup-simplify]: Simplify (/ 1 1) into 1 8.346 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.346 * [taylor]: Taking taylor expansion of 4.0 in x 8.346 * [backup-simplify]: Simplify 4.0 into 4.0 8.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.346 * [taylor]: Taking taylor expansion of y in x 8.346 * [backup-simplify]: Simplify y into y 8.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.346 * [taylor]: Taking taylor expansion of x in x 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.347 * [backup-simplify]: Simplify (* 1 1) into 1 8.347 * [backup-simplify]: Simplify (/ 1 1) into 1 8.347 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.347 * [taylor]: Taking taylor expansion of 4.0 in x 8.348 * [backup-simplify]: Simplify 4.0 into 4.0 8.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.348 * [taylor]: Taking taylor expansion of y in x 8.348 * [backup-simplify]: Simplify y into y 8.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.348 * [backup-simplify]: Simplify (+ 1 0) into 1 8.349 * [backup-simplify]: Simplify (+ 1 0) into 1 8.349 * [backup-simplify]: Simplify (/ 1 1) into 1 8.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.349 * [taylor]: Taking taylor expansion of x in x 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (* 1 1) into 1 8.350 * [backup-simplify]: Simplify (/ 1 1) into 1 8.350 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.350 * [taylor]: Taking taylor expansion of 4.0 in x 8.350 * [backup-simplify]: Simplify 4.0 into 4.0 8.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.350 * [taylor]: Taking taylor expansion of y in x 8.350 * [backup-simplify]: Simplify y into y 8.350 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.351 * [taylor]: Taking taylor expansion of x in x 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (* 1 1) into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.351 * [taylor]: Taking taylor expansion of 4.0 in x 8.352 * [backup-simplify]: Simplify 4.0 into 4.0 8.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.352 * [taylor]: Taking taylor expansion of y in x 8.352 * [backup-simplify]: Simplify y into y 8.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.352 * [backup-simplify]: Simplify (+ 1 0) into 1 8.353 * [backup-simplify]: Simplify (+ 1 0) into 1 8.353 * [backup-simplify]: Simplify (/ 1 1) into 1 8.353 * [taylor]: Taking taylor expansion of 1 in y 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify 1 into 1 8.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.358 * [taylor]: Taking taylor expansion of 0 in y 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.360 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.360 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.363 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.364 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 8.364 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 8.364 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 8.364 * [taylor]: Taking taylor expansion of 8.0 in y 8.364 * [backup-simplify]: Simplify 8.0 into 8.0 8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.364 * [taylor]: Taking taylor expansion of y in y 8.364 * [backup-simplify]: Simplify 0 into 0 8.364 * [backup-simplify]: Simplify 1 into 1 8.364 * [backup-simplify]: Simplify (* 1 1) into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 8.370 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.375 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.376 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.377 * [taylor]: Taking taylor expansion of 0 in y 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.378 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.378 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.378 * [taylor]: Taking taylor expansion of x in y 8.378 * [backup-simplify]: Simplify x into x 8.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.378 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.378 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.378 * [taylor]: Taking taylor expansion of 4.0 in y 8.378 * [backup-simplify]: Simplify 4.0 into 4.0 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.378 * [taylor]: Taking taylor expansion of y in y 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.379 * [taylor]: Taking taylor expansion of x in y 8.379 * [backup-simplify]: Simplify x into x 8.379 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.379 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.379 * [taylor]: Taking taylor expansion of 4.0 in y 8.379 * [backup-simplify]: Simplify 4.0 into 4.0 8.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.379 * [taylor]: Taking taylor expansion of y in y 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (/ 1 1) into 1 8.380 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.380 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.380 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 8.381 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.381 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.382 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 8.382 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.382 * [taylor]: Taking taylor expansion of x in x 8.382 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify 1 into 1 8.382 * [backup-simplify]: Simplify (* 1 1) into 1 8.382 * [backup-simplify]: Simplify (/ 1 1) into 1 8.382 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.382 * [taylor]: Taking taylor expansion of 4.0 in x 8.382 * [backup-simplify]: Simplify 4.0 into 4.0 8.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.382 * [taylor]: Taking taylor expansion of y in x 8.382 * [backup-simplify]: Simplify y into y 8.382 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.383 * [taylor]: Taking taylor expansion of x in x 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.383 * [backup-simplify]: Simplify (* 1 1) into 1 8.383 * [backup-simplify]: Simplify (/ 1 1) into 1 8.383 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.383 * [taylor]: Taking taylor expansion of 4.0 in x 8.383 * [backup-simplify]: Simplify 4.0 into 4.0 8.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.383 * [taylor]: Taking taylor expansion of y in x 8.383 * [backup-simplify]: Simplify y into y 8.383 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.384 * [backup-simplify]: Simplify (+ 1 0) into 1 8.384 * [backup-simplify]: Simplify (+ 1 0) into 1 8.384 * [backup-simplify]: Simplify (/ 1 1) into 1 8.384 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.384 * [taylor]: Taking taylor expansion of x in x 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (* 1 1) into 1 8.385 * [backup-simplify]: Simplify (/ 1 1) into 1 8.385 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.385 * [taylor]: Taking taylor expansion of 4.0 in x 8.385 * [backup-simplify]: Simplify 4.0 into 4.0 8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.385 * [taylor]: Taking taylor expansion of y in x 8.385 * [backup-simplify]: Simplify y into y 8.385 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.385 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.385 * [taylor]: Taking taylor expansion of x in x 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (* 1 1) into 1 8.386 * [backup-simplify]: Simplify (/ 1 1) into 1 8.386 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.386 * [taylor]: Taking taylor expansion of 4.0 in x 8.386 * [backup-simplify]: Simplify 4.0 into 4.0 8.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.386 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.386 * [taylor]: Taking taylor expansion of y in x 8.386 * [backup-simplify]: Simplify y into y 8.386 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.386 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.386 * [backup-simplify]: Simplify (+ 1 0) into 1 8.387 * [backup-simplify]: Simplify (+ 1 0) into 1 8.387 * [backup-simplify]: Simplify (/ 1 1) into 1 8.387 * [taylor]: Taking taylor expansion of 1 in y 8.387 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify 1 into 1 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (+ 0 0) into 0 8.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.390 * [taylor]: Taking taylor expansion of 0 in y 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.391 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.392 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.393 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.394 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 8.394 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 8.394 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 8.394 * [taylor]: Taking taylor expansion of 8.0 in y 8.394 * [backup-simplify]: Simplify 8.0 into 8.0 8.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.394 * [taylor]: Taking taylor expansion of y in y 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify (* 1 1) into 1 8.394 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 8.397 * [backup-simplify]: Simplify (- 0) into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.399 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.399 * [backup-simplify]: Simplify (- 0) into 0 8.400 * [backup-simplify]: Simplify (+ 0 0) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.401 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.404 * [taylor]: Taking taylor expansion of 0 in y 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 8.404 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) 8.404 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 8.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 8.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.404 * [taylor]: Taking taylor expansion of x in y 8.404 * [backup-simplify]: Simplify x into x 8.404 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.404 * [taylor]: Taking taylor expansion of 4.0 in y 8.404 * [backup-simplify]: Simplify 4.0 into 4.0 8.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.404 * [taylor]: Taking taylor expansion of y in y 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.405 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.405 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.405 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.406 * [backup-simplify]: Simplify (+ 0 0) into 0 8.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.406 * [taylor]: Taking taylor expansion of x in x 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 1 into 1 8.406 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.406 * [taylor]: Taking taylor expansion of 4.0 in x 8.406 * [backup-simplify]: Simplify 4.0 into 4.0 8.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.406 * [taylor]: Taking taylor expansion of y in x 8.406 * [backup-simplify]: Simplify y into y 8.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.406 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.407 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.407 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 8.407 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.407 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.408 * [backup-simplify]: Simplify (+ 0 0) into 0 8.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 8.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.408 * [taylor]: Taking taylor expansion of x in x 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.408 * [taylor]: Taking taylor expansion of 4.0 in x 8.408 * [backup-simplify]: Simplify 4.0 into 4.0 8.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.408 * [taylor]: Taking taylor expansion of y in x 8.408 * [backup-simplify]: Simplify y into y 8.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.408 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.409 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.409 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 8.409 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.410 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 8.410 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 8.410 * [taylor]: Taking taylor expansion of y in y 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 8.410 * [taylor]: Taking taylor expansion of 4.0 in y 8.410 * [backup-simplify]: Simplify 4.0 into 4.0 8.411 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.412 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [taylor]: Taking taylor expansion of 0 in y 8.412 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 8.416 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.416 * [backup-simplify]: Simplify (* 1 1) into 1 8.417 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.418 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.418 * [backup-simplify]: Simplify (+ 1 0) into 1 8.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0))) 8.420 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 8.420 * [taylor]: Taking taylor expansion of 1/2 in y 8.420 * [backup-simplify]: Simplify 1/2 into 1/2 8.420 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 8.420 * [taylor]: Taking taylor expansion of y in y 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 1 into 1 8.420 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 8.420 * [taylor]: Taking taylor expansion of 4.0 in y 8.420 * [backup-simplify]: Simplify 4.0 into 4.0 8.420 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.422 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 8.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 8.425 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0)) 8.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 8.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 8.432 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.433 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.435 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0 8.436 * [taylor]: Taking taylor expansion of 0 in y 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0 8.441 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0)) 8.442 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.442 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.442 * [taylor]: Taking taylor expansion of x in y 8.442 * [backup-simplify]: Simplify x into x 8.442 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.442 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.442 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.442 * [taylor]: Taking taylor expansion of 4.0 in y 8.442 * [backup-simplify]: Simplify 4.0 into 4.0 8.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.442 * [taylor]: Taking taylor expansion of y in y 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (* 1 1) into 1 8.443 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.444 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.444 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.447 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.447 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.448 * [taylor]: Taking taylor expansion of x in x 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 1 into 1 8.449 * [backup-simplify]: Simplify (* 1 1) into 1 8.449 * [backup-simplify]: Simplify (/ 1 1) into 1 8.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.449 * [taylor]: Taking taylor expansion of 4.0 in x 8.449 * [backup-simplify]: Simplify 4.0 into 4.0 8.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.449 * [taylor]: Taking taylor expansion of y in x 8.449 * [backup-simplify]: Simplify y into y 8.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.450 * [backup-simplify]: Simplify (+ 1 0) into 1 8.450 * [backup-simplify]: Simplify (sqrt 1) into 1 8.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify (+ 0 0) into 0 8.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.453 * [taylor]: Taking taylor expansion of x in x 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.454 * [backup-simplify]: Simplify (* 1 1) into 1 8.454 * [backup-simplify]: Simplify (/ 1 1) into 1 8.454 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.454 * [taylor]: Taking taylor expansion of 4.0 in x 8.454 * [backup-simplify]: Simplify 4.0 into 4.0 8.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.454 * [taylor]: Taking taylor expansion of y in x 8.454 * [backup-simplify]: Simplify y into y 8.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.455 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.455 * [backup-simplify]: Simplify (+ 1 0) into 1 8.455 * [backup-simplify]: Simplify (sqrt 1) into 1 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.458 * [taylor]: Taking taylor expansion of 1 in y 8.458 * [backup-simplify]: Simplify 1 into 1 8.458 * [taylor]: Taking taylor expansion of 0 in y 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 1 into 1 8.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.460 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.462 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 8.462 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 8.462 * [taylor]: Taking taylor expansion of 2.0 in y 8.462 * [backup-simplify]: Simplify 2.0 into 2.0 8.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.462 * [taylor]: Taking taylor expansion of y in y 8.462 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify 1 into 1 8.462 * [backup-simplify]: Simplify (* 1 1) into 1 8.463 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.468 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.468 * [backup-simplify]: Simplify (+ 0 0) into 0 8.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 8.470 * [taylor]: Taking taylor expansion of 0 in y 8.470 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.477 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.478 * [taylor]: Taking taylor expansion of x in y 8.478 * [backup-simplify]: Simplify x into x 8.478 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.478 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.478 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.478 * [taylor]: Taking taylor expansion of 4.0 in y 8.478 * [backup-simplify]: Simplify 4.0 into 4.0 8.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.478 * [taylor]: Taking taylor expansion of y in y 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.479 * [backup-simplify]: Simplify (* 1 1) into 1 8.479 * [backup-simplify]: Simplify (/ 1 1) into 1 8.480 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.480 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.481 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.483 * [backup-simplify]: Simplify (+ 0 0) into 0 8.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.484 * [taylor]: Taking taylor expansion of x in x 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.485 * [backup-simplify]: Simplify (* 1 1) into 1 8.485 * [backup-simplify]: Simplify (/ 1 1) into 1 8.485 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.485 * [taylor]: Taking taylor expansion of 4.0 in x 8.485 * [backup-simplify]: Simplify 4.0 into 4.0 8.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.485 * [taylor]: Taking taylor expansion of y in x 8.485 * [backup-simplify]: Simplify y into y 8.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.486 * [backup-simplify]: Simplify (+ 1 0) into 1 8.486 * [backup-simplify]: Simplify (sqrt 1) into 1 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ 0 0) into 0 8.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.489 * [taylor]: Taking taylor expansion of x in x 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.490 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (/ 1 1) into 1 8.490 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.490 * [taylor]: Taking taylor expansion of 4.0 in x 8.490 * [backup-simplify]: Simplify 4.0 into 4.0 8.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.490 * [taylor]: Taking taylor expansion of y in x 8.490 * [backup-simplify]: Simplify y into y 8.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.491 * [backup-simplify]: Simplify (+ 1 0) into 1 8.491 * [backup-simplify]: Simplify (sqrt 1) into 1 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ 0 0) into 0 8.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.494 * [taylor]: Taking taylor expansion of 1 in y 8.494 * [backup-simplify]: Simplify 1 into 1 8.494 * [taylor]: Taking taylor expansion of 0 in y 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.496 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.498 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 8.498 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 8.498 * [taylor]: Taking taylor expansion of 2.0 in y 8.498 * [backup-simplify]: Simplify 2.0 into 2.0 8.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.498 * [taylor]: Taking taylor expansion of y in y 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (* 1 1) into 1 8.499 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.504 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.504 * [backup-simplify]: Simplify (+ 0 0) into 0 8.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 8.505 * [taylor]: Taking taylor expansion of 0 in y 8.505 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 8.508 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) 8.508 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 8.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 8.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 8.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.508 * [taylor]: Taking taylor expansion of x in y 8.508 * [backup-simplify]: Simplify x into x 8.508 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.508 * [taylor]: Taking taylor expansion of 4.0 in y 8.508 * [backup-simplify]: Simplify 4.0 into 4.0 8.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.508 * [taylor]: Taking taylor expansion of y in y 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.509 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.509 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.509 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.509 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.510 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.510 * [taylor]: Taking taylor expansion of x in x 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.510 * [taylor]: Taking taylor expansion of 4.0 in x 8.510 * [backup-simplify]: Simplify 4.0 into 4.0 8.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.510 * [taylor]: Taking taylor expansion of y in x 8.510 * [backup-simplify]: Simplify y into y 8.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.510 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.510 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.511 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 8.511 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.512 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 8.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 8.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 8.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.512 * [taylor]: Taking taylor expansion of x in x 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.512 * [taylor]: Taking taylor expansion of 4.0 in x 8.513 * [backup-simplify]: Simplify 4.0 into 4.0 8.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.513 * [taylor]: Taking taylor expansion of y in x 8.513 * [backup-simplify]: Simplify y into y 8.513 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.513 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.513 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 8.513 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 8.513 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.514 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.514 * [backup-simplify]: Simplify (+ 0 0) into 0 8.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 8.515 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 8.515 * [taylor]: Taking taylor expansion of y in y 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify 1 into 1 8.515 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 8.515 * [taylor]: Taking taylor expansion of 4.0 in y 8.515 * [backup-simplify]: Simplify 4.0 into 4.0 8.515 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.517 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [taylor]: Taking taylor expansion of 0 in y 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 8.519 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.520 * [backup-simplify]: Simplify (* 1 1) into 1 8.520 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.521 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.522 * [backup-simplify]: Simplify (+ 1 0) into 1 8.523 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0))) 8.523 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 8.523 * [taylor]: Taking taylor expansion of 1/2 in y 8.523 * [backup-simplify]: Simplify 1/2 into 1/2 8.523 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 8.523 * [taylor]: Taking taylor expansion of y in y 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 8.523 * [taylor]: Taking taylor expansion of 4.0 in y 8.523 * [backup-simplify]: Simplify 4.0 into 4.0 8.524 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.525 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 8.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 8.529 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0)) 8.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 8.535 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.538 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.539 * [backup-simplify]: Simplify (+ 0 0) into 0 8.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0 8.540 * [taylor]: Taking taylor expansion of 0 in y 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0 8.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0 8.544 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0)) 8.545 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.545 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.545 * [taylor]: Taking taylor expansion of x in y 8.545 * [backup-simplify]: Simplify x into x 8.545 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.545 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.545 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.545 * [taylor]: Taking taylor expansion of 4.0 in y 8.546 * [backup-simplify]: Simplify 4.0 into 4.0 8.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.546 * [taylor]: Taking taylor expansion of y in y 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 1 into 1 8.546 * [backup-simplify]: Simplify (* 1 1) into 1 8.546 * [backup-simplify]: Simplify (/ 1 1) into 1 8.547 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.548 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.548 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.552 * [taylor]: Taking taylor expansion of x in x 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (* 1 1) into 1 8.553 * [backup-simplify]: Simplify (/ 1 1) into 1 8.553 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.553 * [taylor]: Taking taylor expansion of 4.0 in x 8.553 * [backup-simplify]: Simplify 4.0 into 4.0 8.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.553 * [taylor]: Taking taylor expansion of y in x 8.553 * [backup-simplify]: Simplify y into y 8.553 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.553 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.554 * [backup-simplify]: Simplify (+ 1 0) into 1 8.554 * [backup-simplify]: Simplify (sqrt 1) into 1 8.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.557 * [taylor]: Taking taylor expansion of x in x 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (* 1 1) into 1 8.558 * [backup-simplify]: Simplify (/ 1 1) into 1 8.558 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.558 * [taylor]: Taking taylor expansion of 4.0 in x 8.558 * [backup-simplify]: Simplify 4.0 into 4.0 8.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.558 * [taylor]: Taking taylor expansion of y in x 8.558 * [backup-simplify]: Simplify y into y 8.558 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.558 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.559 * [backup-simplify]: Simplify (+ 1 0) into 1 8.559 * [backup-simplify]: Simplify (sqrt 1) into 1 8.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.562 * [taylor]: Taking taylor expansion of 1 in y 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [taylor]: Taking taylor expansion of 0 in y 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.564 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.565 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 8.566 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 8.566 * [taylor]: Taking taylor expansion of 2.0 in y 8.566 * [backup-simplify]: Simplify 2.0 into 2.0 8.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (* 1 1) into 1 8.567 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.572 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.572 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 8.573 * [taylor]: Taking taylor expansion of 0 in y 8.573 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 8.576 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 8.576 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 8.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 8.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.576 * [taylor]: Taking taylor expansion of x in y 8.576 * [backup-simplify]: Simplify x into x 8.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.576 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.576 * [taylor]: Taking taylor expansion of 4.0 in y 8.576 * [backup-simplify]: Simplify 4.0 into 4.0 8.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.576 * [taylor]: Taking taylor expansion of y in y 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (* 1 1) into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.578 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 8.578 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 8.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 8.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.582 * [taylor]: Taking taylor expansion of x in x 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (* 1 1) into 1 8.583 * [backup-simplify]: Simplify (/ 1 1) into 1 8.583 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.583 * [taylor]: Taking taylor expansion of 4.0 in x 8.583 * [backup-simplify]: Simplify 4.0 into 4.0 8.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.583 * [taylor]: Taking taylor expansion of y in x 8.583 * [backup-simplify]: Simplify y into y 8.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.584 * [backup-simplify]: Simplify (+ 1 0) into 1 8.584 * [backup-simplify]: Simplify (sqrt 1) into 1 8.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.587 * [taylor]: Taking taylor expansion of x in x 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (* 1 1) into 1 8.588 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.588 * [taylor]: Taking taylor expansion of 4.0 in x 8.588 * [backup-simplify]: Simplify 4.0 into 4.0 8.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.588 * [taylor]: Taking taylor expansion of y in x 8.588 * [backup-simplify]: Simplify y into y 8.589 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.589 * [backup-simplify]: Simplify (+ 1 0) into 1 8.590 * [backup-simplify]: Simplify (sqrt 1) into 1 8.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.592 * [taylor]: Taking taylor expansion of 1 in y 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [taylor]: Taking taylor expansion of 0 in y 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.595 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 8.596 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 8.596 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 8.596 * [taylor]: Taking taylor expansion of 2.0 in y 8.596 * [backup-simplify]: Simplify 2.0 into 2.0 8.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.596 * [taylor]: Taking taylor expansion of y in y 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (* 1 1) into 1 8.597 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 8.603 * [taylor]: Taking taylor expansion of 0 in y 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 8.605 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.606 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 8.606 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 8.606 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 8.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.606 * [taylor]: Taking taylor expansion of x in y 8.606 * [backup-simplify]: Simplify x into x 8.606 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.606 * [taylor]: Taking taylor expansion of 4.0 in y 8.606 * [backup-simplify]: Simplify 4.0 into 4.0 8.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.606 * [taylor]: Taking taylor expansion of y in y 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 8.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.606 * [taylor]: Taking taylor expansion of x in x 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.606 * [taylor]: Taking taylor expansion of 4.0 in x 8.606 * [backup-simplify]: Simplify 4.0 into 4.0 8.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.606 * [taylor]: Taking taylor expansion of y in x 8.606 * [backup-simplify]: Simplify y into y 8.606 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 8.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.606 * [taylor]: Taking taylor expansion of x in x 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 8.606 * [taylor]: Taking taylor expansion of 4.0 in x 8.607 * [backup-simplify]: Simplify 4.0 into 4.0 8.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.607 * [taylor]: Taking taylor expansion of y in x 8.607 * [backup-simplify]: Simplify y into y 8.607 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.607 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 8.607 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 8.607 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 8.607 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 8.607 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 8.607 * [taylor]: Taking taylor expansion of 4.0 in y 8.607 * [backup-simplify]: Simplify 4.0 into 4.0 8.607 * [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 8.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.609 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 8.609 * [backup-simplify]: Simplify (- 0) into 0 8.609 * [backup-simplify]: Simplify (+ 0 0) into 0 8.610 * [taylor]: Taking taylor expansion of 0 in y 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify (* 1 1) into 1 8.610 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.611 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.612 * [backup-simplify]: Simplify (- 0) into 0 8.612 * [backup-simplify]: Simplify (+ 1 0) into 1 8.612 * [taylor]: Taking taylor expansion of 1 in y 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.614 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.615 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.616 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.617 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.618 * [backup-simplify]: Simplify (- 0) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.618 * [taylor]: Taking taylor expansion of 0 in y 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (- 0) into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.624 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.624 * [backup-simplify]: Simplify (- 0) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [taylor]: Taking taylor expansion of 0 in y 8.624 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 8.626 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 8.626 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 8.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 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 (* 4.0 (/ 1 (pow y 2))) in y 8.626 * [taylor]: Taking taylor expansion of 4.0 in y 8.626 * [backup-simplify]: Simplify 4.0 into 4.0 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 8.627 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.627 * [taylor]: Taking taylor expansion of x in x 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.628 * [taylor]: Taking taylor expansion of 4.0 in x 8.628 * [backup-simplify]: Simplify 4.0 into 4.0 8.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.628 * [taylor]: Taking taylor expansion of y in x 8.628 * [backup-simplify]: Simplify y into y 8.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.628 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.628 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.628 * [taylor]: Taking taylor expansion of x in x 8.628 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [backup-simplify]: Simplify (* 1 1) into 1 8.629 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.629 * [taylor]: Taking taylor expansion of 4.0 in x 8.629 * [backup-simplify]: Simplify 4.0 into 4.0 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.629 * [taylor]: Taking taylor expansion of y in x 8.629 * [backup-simplify]: Simplify y into y 8.630 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.630 * [backup-simplify]: Simplify (+ 1 0) into 1 8.630 * [taylor]: Taking taylor expansion of 1 in y 8.630 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [taylor]: Taking taylor expansion of 0 in y 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.634 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.634 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.634 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 8.635 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.635 * [taylor]: Taking taylor expansion of 4.0 in y 8.635 * [backup-simplify]: Simplify 4.0 into 4.0 8.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.635 * [taylor]: Taking taylor expansion of y in y 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.636 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.636 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.642 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.642 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.645 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.646 * [backup-simplify]: Simplify (- 0) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.646 * [taylor]: Taking taylor expansion of 0 in y 8.646 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 4.0 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 0 into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.653 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.653 * [backup-simplify]: Simplify (- 0) into 0 8.654 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [taylor]: Taking taylor expansion of 0 in y 8.654 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 8.657 * [backup-simplify]: Simplify (- 0) into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 8.659 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 8.659 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 8.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.659 * [taylor]: Taking taylor expansion of x in y 8.659 * [backup-simplify]: Simplify x into x 8.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.659 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.660 * [taylor]: Taking taylor expansion of 4.0 in y 8.660 * [backup-simplify]: Simplify 4.0 into 4.0 8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.660 * [taylor]: Taking taylor expansion of y in y 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify 1 into 1 8.660 * [backup-simplify]: Simplify (* 1 1) into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.661 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.661 * [taylor]: Taking taylor expansion of x in x 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (* 1 1) into 1 8.662 * [backup-simplify]: Simplify (/ 1 1) into 1 8.662 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.662 * [taylor]: Taking taylor expansion of 4.0 in x 8.662 * [backup-simplify]: Simplify 4.0 into 4.0 8.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.662 * [taylor]: Taking taylor expansion of y in x 8.662 * [backup-simplify]: Simplify y into y 8.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 8.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.662 * [taylor]: Taking taylor expansion of x in x 8.662 * [backup-simplify]: Simplify 0 into 0 8.662 * [backup-simplify]: Simplify 1 into 1 8.663 * [backup-simplify]: Simplify (* 1 1) into 1 8.663 * [backup-simplify]: Simplify (/ 1 1) into 1 8.663 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 8.663 * [taylor]: Taking taylor expansion of 4.0 in x 8.663 * [backup-simplify]: Simplify 4.0 into 4.0 8.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.663 * [taylor]: Taking taylor expansion of y in x 8.663 * [backup-simplify]: Simplify y into y 8.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.664 * [backup-simplify]: Simplify (+ 1 0) into 1 8.664 * [taylor]: Taking taylor expansion of 1 in y 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [taylor]: Taking taylor expansion of 0 in y 8.666 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.668 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 8.668 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.669 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 8.669 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 8.669 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 8.669 * [taylor]: Taking taylor expansion of 4.0 in y 8.669 * [backup-simplify]: Simplify 4.0 into 4.0 8.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.669 * [taylor]: Taking taylor expansion of y in y 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (* 1 1) into 1 8.670 * [backup-simplify]: Simplify (/ 1 1) into 1 8.670 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 8.670 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.671 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 8.671 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 8.675 * [backup-simplify]: Simplify (- 0) into 0 8.675 * [backup-simplify]: Simplify (+ 0 0) into 0 8.675 * [taylor]: Taking taylor expansion of 0 in y 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 8.678 * [backup-simplify]: Simplify (- 0) into 0 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [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 8.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 8.687 * [backup-simplify]: Simplify (- 0) into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 8.688 * * * [progress]: simplifying candidates 8.691 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (+ (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))))) (- (log (- (* x x) (* (* y 4.0) y))) (log (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (log (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (exp (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (- (- (* x x) (* (* y 4.0) y))) (- (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (+ (* x x) (* (* y 4.0) y))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 (* y (sqrt 4.0)) x (* -1 x) (* y (sqrt 4.0)) x (* -1 x) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 8.696 * * [simplify]: Extracting # 0 : cost 0 8.696 * * [simplify]: Extracting # 1 : cost 0 8.697 * * [simplify]: Extracting # 2 : cost 0 8.697 * * [simplify]: Extracting # 3 : cost 0 8.697 * * [simplify]: Extracting # 4 : cost 0 8.697 * * [simplify]: Extracting # 5 : cost 0 8.698 * * [simplify]: Extracting # 6 : cost 0 8.698 * * [simplify]: Extracting # 7 : cost 0 8.698 * * [simplify]: iteration 0 : 108 enodes (cost 2118 ) 8.735 * * [simplify]: Extracting # 0 : cost 0 8.735 * * [simplify]: Extracting # 1 : cost 0 8.736 * * [simplify]: Extracting # 2 : cost 0 8.736 * * [simplify]: Extracting # 3 : cost 0 8.736 * * [simplify]: iteration 1 : 289 enodes (cost 1662 ) 8.876 * * [simplify]: Extracting # 0 : cost 0 8.878 * * [simplify]: Extracting # 1 : cost 0 8.879 * * [simplify]: Extracting # 2 : cost 0 8.880 * * [simplify]: Extracting # 3 : cost 0 8.881 * * [simplify]: Extracting # 4 : cost 0 8.883 * * [simplify]: Extracting # 5 : cost 0 8.885 * * [simplify]: iteration 2 : 923 enodes (cost 1450 ) 9.674 * * [simplify]: Extracting # 0 : cost 0 9.682 * * [simplify]: Extracting # 1 : cost 0 9.689 * * [simplify]: Extracting # 2 : cost 0 9.697 * * [simplify]: Extracting # 3 : cost 0 9.711 * * [simplify]: Extracting # 4 : cost 0 9.719 * * [simplify]: iteration 3 : 3586 enodes (cost 1426 ) 11.163 * * [simplify]: Extracting # 0 : cost 0 11.170 * * [simplify]: Extracting # 1 : cost 0 11.176 * * [simplify]: Extracting # 2 : cost 0 11.182 * * [simplify]: Extracting # 3 : cost 0 11.188 * * [simplify]: iteration done: 5000 enodes (cost 1426 ) 11.189 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (pow x 2) (* (* y 4.0) y)))) (- (* (* y 4.0) y) (* x x)) (- (+ (pow x 2) (* (* y 4.0) y))) (/ (pow x 2) (+ (pow x 2) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (pow x 2) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (+ (pow x 2) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (+ (pow x 2) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (pow x 2) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow (* (* y 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4.0) y))) 4) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3) (fabs (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6))) (sqrt (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))) (sqrt (- (* x x) (* (* y 4.0) y))) 1/2 (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (pow (sqrt (+ (* x x) (* (* y 4.0) y))) 3) (fabs (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* (* y 4.0) y) 3) (pow x 6))) (sqrt (+ (* (* (* y 4.0) y) (- (* (* y 4.0) y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3)))) (sqrt (- (* x x) (* (* y 4.0) y))) 1/2 (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (pow x 2) (* 4.0 (pow y 2))) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (pow x 4) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (* 4.0 (* y 4.0)) (pow y 3))) (+ (* x x) (* (* y 4.0) y)) (- (* 4.0 (pow y 2))) -1.0 1 1 (* y (sqrt 4.0)) x (- x) (* y (sqrt 4.0)) x (- x) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 11.190 * * * [progress]: adding candidates to table 11.551 * [progress]: [Phase 3 of 3] Extracting. 11.551 * * [regime]: Finding splitpoints for: (# # # # #)