11.348 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.029 * * [simplify]: iteration 0: 9 enodes 0.032 * * [simplify]: iteration 1: 17 enodes 0.038 * * [simplify]: iteration 2: 35 enodes 0.049 * * [simplify]: iteration 3: 67 enodes 0.070 * * [simplify]: iteration 4: 116 enodes 0.114 * * [simplify]: iteration 5: 169 enodes 0.181 * * [simplify]: iteration 6: 198 enodes 0.247 * * [simplify]: iteration 7: 202 enodes 0.313 * * [simplify]: iteration complete: 202 enodes 0.313 * * [simplify]: Extracting #0: cost 1 inf + 0 0.313 * * [simplify]: Extracting #1: cost 6 inf + 0 0.313 * * [simplify]: Extracting #2: cost 36 inf + 0 0.313 * * [simplify]: Extracting #3: cost 24 inf + 35 0.314 * * [simplify]: Extracting #4: cost 6 inf + 262 0.314 * * [simplify]: Extracting #5: cost 0 inf + 338 0.314 * [simplify]: Simplified to: (/ (- (* x x) (* 4.0 (* y y))) (+ (* x x) (* 4.0 (* y y)))) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.330 * * * [progress]: localizing error 0.355 * * * [progress]: generating rewritten candidates 0.355 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.404 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.417 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.432 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.433 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 0.433 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 0.433 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.433 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 4.0 in y 0.433 * [backup-simplify]: Simplify 4.0 into 4.0 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.433 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of 4.0 in y 0.433 * [backup-simplify]: Simplify 4.0 into 4.0 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.434 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.434 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.434 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.434 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of 4.0 in x 0.434 * [backup-simplify]: Simplify 4.0 into 4.0 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of 4.0 in x 0.435 * [backup-simplify]: Simplify 4.0 into 4.0 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.435 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.435 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.435 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.436 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.436 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.436 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.436 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.436 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 0.436 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of 4.0 in x 0.436 * [backup-simplify]: Simplify 4.0 into 4.0 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of 4.0 in x 0.437 * [backup-simplify]: Simplify 4.0 into 4.0 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.437 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.437 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.437 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.438 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.438 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.438 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.438 * [taylor]: Taking taylor expansion of -1.0 in y 0.438 * [backup-simplify]: Simplify -1.0 into -1.0 0.438 * [backup-simplify]: Simplify -1.0 into -1.0 0.439 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.439 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 1 0) 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 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [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))) 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.448 * [taylor]: Taking taylor expansion of 0.5 in y 0.448 * [backup-simplify]: Simplify 0.5 into 0.5 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) 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 (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [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 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify -1.0 into -1.0 0.459 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.459 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 0.459 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [backup-simplify]: Simplify x into x 0.459 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.459 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 4.0 in y 0.460 * [backup-simplify]: Simplify 4.0 into 4.0 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.460 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.460 * [taylor]: Taking taylor expansion of 4.0 in y 0.460 * [backup-simplify]: Simplify 4.0 into 4.0 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.461 * [backup-simplify]: Simplify x into x 0.461 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.461 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.461 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.462 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.462 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.462 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.463 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.463 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.463 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of 4.0 in x 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.464 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.464 * [taylor]: Taking taylor expansion of 4.0 in x 0.464 * [backup-simplify]: Simplify 4.0 into 4.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (+ 0 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of 4.0 in x 0.467 * [backup-simplify]: Simplify 4.0 into 4.0 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [backup-simplify]: Simplify y into y 0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.467 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.467 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of 4.0 in x 0.467 * [backup-simplify]: Simplify 4.0 into 4.0 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [backup-simplify]: Simplify y into y 0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (+ 0 1) into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [taylor]: Taking taylor expansion of 1 in y 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.473 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.473 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.473 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.476 * [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)))) 0.476 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.476 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.476 * [taylor]: Taking taylor expansion of 8.0 in y 0.476 * [backup-simplify]: Simplify 8.0 into 8.0 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.482 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [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 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [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)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 0.487 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [backup-simplify]: Simplify x into x 0.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.488 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of 4.0 in y 0.488 * [backup-simplify]: Simplify 4.0 into 4.0 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.489 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of 4.0 in y 0.489 * [backup-simplify]: Simplify 4.0 into 4.0 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [backup-simplify]: Simplify x into x 0.490 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.490 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.491 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.491 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.492 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.492 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.493 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 0.493 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.493 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 0.493 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 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 0.494 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of 4.0 in x 0.494 * [backup-simplify]: Simplify 4.0 into 4.0 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [backup-simplify]: Simplify y into y 0.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.495 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.495 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of 4.0 in x 0.495 * [backup-simplify]: Simplify 4.0 into 4.0 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [backup-simplify]: Simplify y into y 0.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 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 0.498 * [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) 0.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.499 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.499 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of 4.0 in x 0.499 * [backup-simplify]: Simplify 4.0 into 4.0 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [backup-simplify]: Simplify y into y 0.499 * [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 * [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 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.508 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.509 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.509 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.511 * [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)))) 0.511 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.511 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.511 * [taylor]: Taking taylor expansion of 8.0 in y 0.512 * [backup-simplify]: Simplify 8.0 into 8.0 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [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 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.523 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.523 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [backup-simplify]: Simplify x into x 0.523 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.523 * [taylor]: Taking taylor expansion of 4.0 in y 0.523 * [backup-simplify]: Simplify 4.0 into 4.0 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of 4.0 in x 0.523 * [backup-simplify]: Simplify 4.0 into 4.0 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.523 * [taylor]: Taking taylor expansion of 4.0 in x 0.523 * [backup-simplify]: Simplify 4.0 into 4.0 0.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [backup-simplify]: Simplify y into y 0.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.523 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.523 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.524 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.524 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of 4.0 in y 0.524 * [backup-simplify]: Simplify 4.0 into 4.0 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.524 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.526 * [backup-simplify]: Simplify (- 0) into 0 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.526 * [taylor]: Taking taylor expansion of 1 in y 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.527 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.528 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.529 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- 0) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.534 * [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 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.535 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.535 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [backup-simplify]: Simplify x into x 0.535 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.535 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.535 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.535 * [taylor]: Taking taylor expansion of 4.0 in y 0.535 * [backup-simplify]: Simplify 4.0 into 4.0 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.536 * [taylor]: Taking taylor expansion of 4.0 in x 0.536 * [backup-simplify]: Simplify 4.0 into 4.0 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [backup-simplify]: Simplify y into y 0.536 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.537 * [taylor]: Taking taylor expansion of 4.0 in x 0.537 * [backup-simplify]: Simplify 4.0 into 4.0 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [backup-simplify]: Simplify y into y 0.537 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.538 * [backup-simplify]: Simplify (+ 1 0) into 1 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.540 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.540 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.540 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of 4.0 in y 0.540 * [backup-simplify]: Simplify 4.0 into 4.0 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.542 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.542 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- 0) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.548 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [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))) 0.551 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.551 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [backup-simplify]: Simplify x into x 0.552 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.552 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.552 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of 4.0 in y 0.552 * [backup-simplify]: Simplify 4.0 into 4.0 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 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 0.552 * [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 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [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)) 0.554 * [backup-simplify]: Simplify (+ 1 0) into 1 0.554 * [taylor]: Taking taylor expansion of 1 in y 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.557 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.557 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.557 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.557 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.557 * [taylor]: Taking taylor expansion of 4.0 in y 0.557 * [backup-simplify]: Simplify 4.0 into 4.0 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.558 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.558 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 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 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.568 * [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))) 0.568 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.568 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.568 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 0.568 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.568 * [taylor]: Taking taylor expansion of 4.0 in y 0.568 * [backup-simplify]: Simplify 4.0 into 4.0 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [backup-simplify]: Simplify x into x 0.568 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of 4.0 in x 0.568 * [backup-simplify]: Simplify 4.0 into 4.0 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of 4.0 in x 0.568 * [backup-simplify]: Simplify 4.0 into 4.0 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.569 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.569 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 0.569 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of 4.0 in y 0.569 * [backup-simplify]: Simplify 4.0 into 4.0 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.569 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (+ 0 1) into 1 0.571 * [taylor]: Taking taylor expansion of 1 in y 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.572 * [backup-simplify]: Simplify 4.0 into 4.0 0.572 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.579 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.579 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.579 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.579 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of 4.0 in y 0.580 * [backup-simplify]: Simplify 4.0 into 4.0 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [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 (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.581 * [backup-simplify]: Simplify x into x 0.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.581 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.581 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of 4.0 in x 0.581 * [backup-simplify]: Simplify 4.0 into 4.0 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.581 * [taylor]: Taking taylor expansion of y in x 0.581 * [backup-simplify]: Simplify y into y 0.581 * [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)) 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 0.582 * [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))) (/ 1 (pow x 2))) in x 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) 0.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (+ 0 1) into 1 0.584 * [taylor]: Taking taylor expansion of 1 in y 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.589 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.589 * [taylor]: Taking taylor expansion of 4.0 in y 0.589 * [backup-simplify]: Simplify 4.0 into 4.0 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.590 * [backup-simplify]: Simplify 4.0 into 4.0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.604 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.604 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 0.604 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.604 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of 4.0 in y 0.605 * [backup-simplify]: Simplify 4.0 into 4.0 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.606 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.606 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.606 * [taylor]: Taking taylor expansion of 4.0 in x 0.606 * [backup-simplify]: Simplify 4.0 into 4.0 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [backup-simplify]: Simplify y into y 0.606 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.606 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.607 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (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 (/ 1 (pow y 2)) in x 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) 0.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [backup-simplify]: Simplify (+ 0 1) into 1 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 0.613 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of 4.0 in y 0.613 * [backup-simplify]: Simplify 4.0 into 4.0 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.614 * [backup-simplify]: Simplify 4.0 into 4.0 0.614 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 0.628 * * * [progress]: simplifying candidates 0.630 * [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))) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 0.632 * * [simplify]: iteration 0: 87 enodes 0.666 * * [simplify]: iteration 1: 254 enodes 0.843 * * [simplify]: iteration 2: 1203 enodes 1.308 * * [simplify]: iteration complete: 5000 enodes 1.308 * * [simplify]: Extracting #0: cost 55 inf + 0 1.310 * * [simplify]: Extracting #1: cost 543 inf + 2 1.317 * * [simplify]: Extracting #2: cost 1827 inf + 29 1.329 * * [simplify]: Extracting #3: cost 1987 inf + 2214 1.353 * * [simplify]: Extracting #4: cost 523 inf + 24571 1.367 * * [simplify]: Extracting #5: cost 72 inf + 33985 1.381 * * [simplify]: Extracting #6: cost 8 inf + 34640 1.395 * * [simplify]: Extracting #7: cost 0 inf + 34703 1.409 * [simplify]: Simplified to: (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* y (* y 4.0)) (* x x))) (/ x (/ (+ (* x x) (* y (* y 4.0))) x)) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (/ (cbrt (- (* x x) (* y (* y 4.0)))) (/ (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0)))))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (- (* x x) (* y (* y 4.0))) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (pow (* y (* y 4.0)) 3) (pow x 6))) (/ (- (* x x) (* y (* y 4.0))) (- (pow x 4) (* (* y y) (* (* y (* y 4.0)) 4.0)))) (* (+ (* (* y (* y 4.0)) (+ (* y (* y 4.0)) (* x x))) (pow x 4)) (+ (* x x) (* y (* y 4.0)))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0)))) (pow (- (* x x) (* y (* y 4.0))) 3) (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (- (pow x 6) (pow (* y (* y 4.0)) 3)) (+ (* (* y (* y 4.0)) (+ (* y (* y 4.0)) (* x x))) (pow x 4)) (* 4.0 (* y (- y))) (- (pow x 4) (* (* y y) (* (* y (* y 4.0)) 4.0))) (+ (* x x) (* y (* y 4.0))) (* 4.0 (* y (- y))) (exp (+ (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0)))) (pow (+ (* x x) (* y (* y 4.0))) 3) (sqrt (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (+ (pow (* y (* y 4.0)) 3) (pow x 6)) (+ (pow x 4) (* (* y (* y 4.0)) (- (* y (* y 4.0)) (* x x)))) (- (pow x 4) (* (* y y) (* (* y (* y 4.0)) 4.0))) (- (* x x) (* y (* y 4.0))) -1.0 1 1 (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 1.410 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 2 / 4 1.653 * * * [progress]: picking best candidate 1.662 * * * * [pick]: Picked # 1.662 * * * [progress]: localizing error 1.676 * * * [progress]: generating rewritten candidates 1.677 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.705 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.715 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.736 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.748 * * * [progress]: generating series expansions 1.748 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.748 * [backup-simplify]: Simplify (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) into (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) 1.748 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.748 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in y 1.748 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.748 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.748 * [taylor]: Taking taylor expansion of 4.0 in y 1.748 * [backup-simplify]: Simplify 4.0 into 4.0 1.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.748 * [taylor]: Taking taylor expansion of y in y 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.749 * [taylor]: Taking taylor expansion of x in y 1.749 * [backup-simplify]: Simplify x into x 1.749 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.749 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.749 * [taylor]: Taking taylor expansion of x in y 1.749 * [backup-simplify]: Simplify x into x 1.749 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.749 * [taylor]: Taking taylor expansion of 4.0 in y 1.749 * [backup-simplify]: Simplify 4.0 into 4.0 1.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.749 * [taylor]: Taking taylor expansion of y in y 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.749 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.749 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.749 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.749 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.749 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 1.750 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.750 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.750 * [taylor]: Taking taylor expansion of 4.0 in x 1.750 * [backup-simplify]: Simplify 4.0 into 4.0 1.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [backup-simplify]: Simplify y into y 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.750 * [taylor]: Taking taylor expansion of 4.0 in x 1.750 * [backup-simplify]: Simplify 4.0 into 4.0 1.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.750 * [taylor]: Taking taylor expansion of y in x 1.750 * [backup-simplify]: Simplify y into y 1.750 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.750 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.750 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.751 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.751 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.751 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.751 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.751 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 1.751 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (pow y 2)) (pow x 2)) (- (pow x 2) (* 4.0 (pow y 2)))) in x 1.751 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.751 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.751 * [taylor]: Taking taylor expansion of 4.0 in x 1.751 * [backup-simplify]: Simplify 4.0 into 4.0 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [backup-simplify]: Simplify y into y 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.752 * [taylor]: Taking taylor expansion of 4.0 in x 1.752 * [backup-simplify]: Simplify 4.0 into 4.0 1.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [backup-simplify]: Simplify y into y 1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.752 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.752 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.752 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.753 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.753 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.753 * [backup-simplify]: Simplify (/ (* 4.0 (pow y 2)) (- (* 4.0 (pow y 2)))) into -1.0 1.753 * [taylor]: Taking taylor expansion of -1.0 in y 1.753 * [backup-simplify]: Simplify -1.0 into -1.0 1.753 * [backup-simplify]: Simplify -1.0 into -1.0 1.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.754 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.755 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.756 * [backup-simplify]: Simplify (- 0) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 (- (* 4.0 (pow y 2)))) (+ (* -1.0 (/ 0 (- (* 4.0 (pow y 2))))))) into 0 1.757 * [taylor]: Taking taylor expansion of 0 in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (+ 0 1) into 1 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.761 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [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)))) 1.762 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow y 2)))) in y 1.762 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.762 * [taylor]: Taking taylor expansion of 0.5 in y 1.762 * [backup-simplify]: Simplify 0.5 into 0.5 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.762 * [taylor]: Taking taylor expansion of y in y 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [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 1.776 * [taylor]: Taking taylor expansion of 0 in y 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify -1.0 into -1.0 1.776 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0)))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 1.776 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.776 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.776 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.776 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.776 * [taylor]: Taking taylor expansion of 4.0 in y 1.776 * [backup-simplify]: Simplify 4.0 into 4.0 1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.776 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.776 * [taylor]: Taking taylor expansion of y in y 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (* 1 1) into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.777 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.777 * [taylor]: Taking taylor expansion of x in y 1.777 * [backup-simplify]: Simplify x into x 1.777 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.777 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.777 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.777 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.777 * [taylor]: Taking taylor expansion of x in y 1.777 * [backup-simplify]: Simplify x into x 1.777 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.777 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.777 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.777 * [taylor]: Taking taylor expansion of 4.0 in y 1.777 * [backup-simplify]: Simplify 4.0 into 4.0 1.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.777 * [taylor]: Taking taylor expansion of y in y 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.778 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.779 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.779 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.779 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.780 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 1.780 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.780 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.780 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.780 * [taylor]: Taking taylor expansion of 4.0 in x 1.780 * [backup-simplify]: Simplify 4.0 into 4.0 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.780 * [taylor]: Taking taylor expansion of y in x 1.780 * [backup-simplify]: Simplify y into y 1.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.781 * [taylor]: Taking taylor expansion of 4.0 in x 1.781 * [backup-simplify]: Simplify 4.0 into 4.0 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.781 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.782 * [backup-simplify]: Simplify y into y 1.782 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.782 * [backup-simplify]: Simplify (+ 0 1) into 1 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.783 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.783 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.783 * [taylor]: Taking taylor expansion of 4.0 in x 1.783 * [backup-simplify]: Simplify 4.0 into 4.0 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [backup-simplify]: Simplify y into y 1.783 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.783 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.784 * [taylor]: Taking taylor expansion of 4.0 in x 1.784 * [backup-simplify]: Simplify 4.0 into 4.0 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.784 * [taylor]: Taking taylor expansion of y in x 1.784 * [backup-simplify]: Simplify y into y 1.784 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.784 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.785 * [backup-simplify]: Simplify (+ 0 1) into 1 1.785 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [taylor]: Taking taylor expansion of 1 in y 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.791 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.791 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.791 * [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))) 1.791 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.791 * [taylor]: Taking taylor expansion of 8.0 in y 1.791 * [backup-simplify]: Simplify 8.0 into 8.0 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.791 * [taylor]: Taking taylor expansion of y in y 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (* 1 1) into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [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 1.802 * [taylor]: Taking taylor expansion of 0 in y 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0)))) into (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 1.803 * [approximate]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.803 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.803 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.803 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.803 * [taylor]: Taking taylor expansion of 4.0 in y 1.803 * [backup-simplify]: Simplify 4.0 into 4.0 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.803 * [taylor]: Taking taylor expansion of y in y 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.803 * [taylor]: Taking taylor expansion of x in y 1.803 * [backup-simplify]: Simplify x into x 1.803 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.803 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.803 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.803 * [taylor]: Taking taylor expansion of x in y 1.804 * [backup-simplify]: Simplify x into x 1.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.804 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.804 * [taylor]: Taking taylor expansion of 4.0 in y 1.804 * [backup-simplify]: Simplify 4.0 into 4.0 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.805 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.805 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.805 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.806 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.807 * [backup-simplify]: Simplify (/ 4.0 (- 4.0)) into -1.0 1.807 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.807 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.807 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.807 * [taylor]: Taking taylor expansion of 4.0 in x 1.807 * [backup-simplify]: Simplify 4.0 into 4.0 1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.807 * [taylor]: Taking taylor expansion of y in x 1.807 * [backup-simplify]: Simplify y into y 1.807 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* 1 1) into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.809 * [taylor]: Taking taylor expansion of 4.0 in x 1.809 * [backup-simplify]: Simplify 4.0 into 4.0 1.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [backup-simplify]: Simplify y into y 1.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.810 * [backup-simplify]: Simplify (+ 0 1) into 1 1.810 * [backup-simplify]: Simplify (+ 1 0) into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [taylor]: Taking taylor expansion of (/ (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.811 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.811 * [taylor]: Taking taylor expansion of 4.0 in x 1.811 * [backup-simplify]: Simplify 4.0 into 4.0 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.811 * [taylor]: Taking taylor expansion of y in x 1.811 * [backup-simplify]: Simplify y into y 1.811 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (* 1 1) into 1 1.813 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.813 * [taylor]: Taking taylor expansion of 4.0 in x 1.813 * [backup-simplify]: Simplify 4.0 into 4.0 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [backup-simplify]: Simplify y into y 1.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.814 * [backup-simplify]: Simplify (+ 0 1) into 1 1.814 * [backup-simplify]: Simplify (+ 1 0) into 1 1.815 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [taylor]: Taking taylor expansion of 1 in y 1.815 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in y 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.825 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.825 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.826 * [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))) 1.826 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.826 * [taylor]: Taking taylor expansion of 8.0 in y 1.826 * [backup-simplify]: Simplify 8.0 into 8.0 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.826 * [taylor]: Taking taylor expansion of y in y 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.843 * [backup-simplify]: Simplify (- (* x x) (* y (* y 4.0))) into (- (pow x 2) (* 4.0 (pow y 2))) 1.843 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 1.843 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [backup-simplify]: Simplify x into x 1.843 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.843 * [taylor]: Taking taylor expansion of 4.0 in y 1.843 * [backup-simplify]: Simplify 4.0 into 4.0 1.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.843 * [taylor]: Taking taylor expansion of 4.0 in x 1.843 * [backup-simplify]: Simplify 4.0 into 4.0 1.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.843 * [taylor]: Taking taylor expansion of y in x 1.843 * [backup-simplify]: Simplify y into y 1.843 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.844 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.844 * [taylor]: Taking taylor expansion of 4.0 in x 1.844 * [backup-simplify]: Simplify 4.0 into 4.0 1.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.844 * [taylor]: Taking taylor expansion of y in x 1.844 * [backup-simplify]: Simplify y into y 1.844 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.844 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.844 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.844 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.844 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 1.844 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.844 * [taylor]: Taking taylor expansion of 4.0 in y 1.845 * [backup-simplify]: Simplify 4.0 into 4.0 1.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.845 * [taylor]: Taking taylor expansion of y in y 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.845 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [taylor]: Taking taylor expansion of 0 in y 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.848 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 1 0) into 1 1.849 * [taylor]: Taking taylor expansion of 1 in y 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.850 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.851 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [taylor]: Taking taylor expansion of 0 in y 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.861 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [taylor]: Taking taylor expansion of 0 in y 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 1.865 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.865 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.865 * [taylor]: Taking taylor expansion of x in y 1.865 * [backup-simplify]: Simplify x into x 1.865 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.865 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.865 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.865 * [taylor]: Taking taylor expansion of 4.0 in y 1.865 * [backup-simplify]: Simplify 4.0 into 4.0 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.866 * [taylor]: Taking taylor expansion of x in x 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.867 * [taylor]: Taking taylor expansion of 4.0 in x 1.867 * [backup-simplify]: Simplify 4.0 into 4.0 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.867 * [taylor]: Taking taylor expansion of y in x 1.867 * [backup-simplify]: Simplify y into y 1.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.868 * [taylor]: Taking taylor expansion of 4.0 in x 1.868 * [backup-simplify]: Simplify 4.0 into 4.0 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.868 * [taylor]: Taking taylor expansion of y in x 1.868 * [backup-simplify]: Simplify y into y 1.868 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.868 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.868 * [backup-simplify]: Simplify (+ 1 0) into 1 1.868 * [taylor]: Taking taylor expansion of 1 in y 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [taylor]: Taking taylor expansion of 0 in y 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.871 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.871 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.871 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.871 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.871 * [taylor]: Taking taylor expansion of 4.0 in y 1.871 * [backup-simplify]: Simplify 4.0 into 4.0 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.872 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.872 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.872 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [taylor]: Taking taylor expansion of 0 in y 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.879 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [taylor]: Taking taylor expansion of 0 in y 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [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))) 1.882 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.882 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.882 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.882 * [taylor]: Taking taylor expansion of x in y 1.882 * [backup-simplify]: Simplify x into x 1.883 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.883 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.883 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.883 * [taylor]: Taking taylor expansion of 4.0 in y 1.883 * [backup-simplify]: Simplify 4.0 into 4.0 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (* 1 1) into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1 1) into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.884 * [taylor]: Taking taylor expansion of 4.0 in x 1.884 * [backup-simplify]: Simplify 4.0 into 4.0 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.884 * [taylor]: Taking taylor expansion of y in x 1.884 * [backup-simplify]: Simplify y into y 1.884 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.884 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.884 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of 4.0 in x 1.885 * [backup-simplify]: Simplify 4.0 into 4.0 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [taylor]: Taking taylor expansion of 1 in y 1.885 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [taylor]: Taking taylor expansion of 0 in y 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.888 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.888 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.888 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.888 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.888 * [taylor]: Taking taylor expansion of 4.0 in y 1.888 * [backup-simplify]: Simplify 4.0 into 4.0 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.888 * [taylor]: Taking taylor expansion of y in y 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.889 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.889 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.889 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.892 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [taylor]: Taking taylor expansion of 0 in y 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [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))) 1.902 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.903 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 1.903 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 1.903 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 1.903 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.903 * [taylor]: Taking taylor expansion of x in y 1.903 * [backup-simplify]: Simplify x into x 1.903 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.903 * [taylor]: Taking taylor expansion of 4.0 in y 1.903 * [backup-simplify]: Simplify 4.0 into 4.0 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.903 * [taylor]: Taking taylor expansion of y in y 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.903 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.903 * [taylor]: Taking taylor expansion of 4.0 in y 1.903 * [backup-simplify]: Simplify 4.0 into 4.0 1.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.903 * [taylor]: Taking taylor expansion of y in y 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.903 * [taylor]: Taking taylor expansion of x in y 1.903 * [backup-simplify]: Simplify x into x 1.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.904 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.904 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.904 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.904 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.904 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 1.904 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.904 * [taylor]: Taking taylor expansion of 4.0 in x 1.904 * [backup-simplify]: Simplify 4.0 into 4.0 1.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.904 * [taylor]: Taking taylor expansion of y in x 1.904 * [backup-simplify]: Simplify y into y 1.904 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.904 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.904 * [taylor]: Taking taylor expansion of 4.0 in x 1.904 * [backup-simplify]: Simplify 4.0 into 4.0 1.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.905 * [taylor]: Taking taylor expansion of y in x 1.905 * [backup-simplify]: Simplify y into y 1.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.905 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.905 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.905 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.906 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.906 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.906 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 1.906 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 1.906 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.906 * [taylor]: Taking taylor expansion of 4.0 in x 1.906 * [backup-simplify]: Simplify 4.0 into 4.0 1.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.906 * [taylor]: Taking taylor expansion of y in x 1.906 * [backup-simplify]: Simplify y into y 1.906 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.906 * [taylor]: Taking taylor expansion of 4.0 in x 1.907 * [backup-simplify]: Simplify 4.0 into 4.0 1.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.907 * [taylor]: Taking taylor expansion of y in x 1.907 * [backup-simplify]: Simplify y into y 1.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.907 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.907 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.907 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.908 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.908 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.908 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 1.908 * [taylor]: Taking taylor expansion of -1.0 in y 1.908 * [backup-simplify]: Simplify -1.0 into -1.0 1.908 * [backup-simplify]: Simplify -1.0 into -1.0 1.908 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.909 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.910 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 1.911 * [taylor]: Taking taylor expansion of 0 in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.916 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (+ 0 1) into 1 1.917 * [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))) 1.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.917 * [taylor]: Taking taylor expansion of 0.5 in y 1.917 * [backup-simplify]: Simplify 0.5 into 0.5 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [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 1.932 * [taylor]: Taking taylor expansion of 0 in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify -1.0 into -1.0 1.932 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.932 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.932 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.932 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.933 * [taylor]: Taking taylor expansion of x in y 1.933 * [backup-simplify]: Simplify x into x 1.933 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.933 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.933 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.933 * [taylor]: Taking taylor expansion of 4.0 in y 1.933 * [backup-simplify]: Simplify 4.0 into 4.0 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.934 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.934 * [taylor]: Taking taylor expansion of 4.0 in y 1.934 * [backup-simplify]: Simplify 4.0 into 4.0 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.935 * [taylor]: Taking taylor expansion of x in y 1.935 * [backup-simplify]: Simplify x into x 1.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.935 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.936 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.936 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.937 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.937 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.938 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.939 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 1.939 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.939 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.940 * [taylor]: Taking taylor expansion of 4.0 in x 1.940 * [backup-simplify]: Simplify 4.0 into 4.0 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [backup-simplify]: Simplify y into y 1.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.940 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.940 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.940 * [taylor]: Taking taylor expansion of 4.0 in x 1.940 * [backup-simplify]: Simplify 4.0 into 4.0 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [backup-simplify]: Simplify y into y 1.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.942 * [backup-simplify]: Simplify (+ 0 1) into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.942 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.944 * [taylor]: Taking taylor expansion of 4.0 in x 1.944 * [backup-simplify]: Simplify 4.0 into 4.0 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.944 * [taylor]: Taking taylor expansion of y in x 1.944 * [backup-simplify]: Simplify y into y 1.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.944 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.944 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.944 * [taylor]: Taking taylor expansion of 4.0 in x 1.944 * [backup-simplify]: Simplify 4.0 into 4.0 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.944 * [taylor]: Taking taylor expansion of y in x 1.944 * [backup-simplify]: Simplify y into y 1.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.945 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (+ 0 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [taylor]: Taking taylor expansion of 1 in y 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.951 * [taylor]: Taking taylor expansion of 0 in y 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.954 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.954 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.954 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.957 * [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)))) 1.957 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.957 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.957 * [taylor]: Taking taylor expansion of 8.0 in y 1.957 * [backup-simplify]: Simplify 8.0 into 8.0 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.968 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [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 1.971 * [taylor]: Taking taylor expansion of 0 in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 1.972 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 1.972 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 1.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.972 * [taylor]: Taking taylor expansion of x in y 1.972 * [backup-simplify]: Simplify x into x 1.972 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.972 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.972 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.972 * [taylor]: Taking taylor expansion of 4.0 in y 1.972 * [backup-simplify]: Simplify 4.0 into 4.0 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.972 * [taylor]: Taking taylor expansion of y in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 1.973 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.973 * [taylor]: Taking taylor expansion of 4.0 in y 1.973 * [backup-simplify]: Simplify 4.0 into 4.0 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.973 * [taylor]: Taking taylor expansion of x in y 1.973 * [backup-simplify]: Simplify x into x 1.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.974 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.974 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.974 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.975 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.975 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.975 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 1.976 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 1.976 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.976 * [taylor]: Taking taylor expansion of 4.0 in x 1.976 * [backup-simplify]: Simplify 4.0 into 4.0 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [backup-simplify]: Simplify y into y 1.977 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.977 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.977 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.977 * [taylor]: Taking taylor expansion of 4.0 in x 1.977 * [backup-simplify]: Simplify 4.0 into 4.0 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.977 * [backup-simplify]: Simplify y into y 1.977 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (+ 1 0) into 1 1.978 * [backup-simplify]: Simplify (+ 0 1) into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 1.978 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.979 * [taylor]: Taking taylor expansion of 4.0 in x 1.979 * [backup-simplify]: Simplify 4.0 into 4.0 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [backup-simplify]: Simplify y into y 1.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.979 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 1.979 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.979 * [taylor]: Taking taylor expansion of 4.0 in x 1.979 * [backup-simplify]: Simplify 4.0 into 4.0 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [backup-simplify]: Simplify y into y 1.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [backup-simplify]: Simplify (+ 1 0) into 1 1.980 * [backup-simplify]: Simplify (+ 0 1) into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.981 * [taylor]: Taking taylor expansion of 1 in y 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.983 * [taylor]: Taking taylor expansion of 0 in y 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.985 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.985 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.985 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 1.987 * [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)))) 1.987 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.987 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.987 * [taylor]: Taking taylor expansion of 8.0 in y 1.987 * [backup-simplify]: Simplify 8.0 into 8.0 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [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 1.997 * [taylor]: Taking taylor expansion of 0 in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.997 * [backup-simplify]: Simplify (+ (* x x) (* y (* y 4.0))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 1.997 * [approximate]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in (x y) around 0 1.997 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 1.997 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.997 * [taylor]: Taking taylor expansion of 4.0 in y 1.997 * [backup-simplify]: Simplify 4.0 into 4.0 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.997 * [taylor]: Taking taylor expansion of y in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.997 * [taylor]: Taking taylor expansion of x in y 1.997 * [backup-simplify]: Simplify x into x 1.997 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.997 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.997 * [taylor]: Taking taylor expansion of 4.0 in x 1.997 * [backup-simplify]: Simplify 4.0 into 4.0 1.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.997 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 1.998 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.998 * [taylor]: Taking taylor expansion of 4.0 in x 1.998 * [backup-simplify]: Simplify 4.0 into 4.0 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [backup-simplify]: Simplify y into y 1.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.998 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.998 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 1.998 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.998 * [taylor]: Taking taylor expansion of 4.0 in y 1.998 * [backup-simplify]: Simplify 4.0 into 4.0 1.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.998 * [taylor]: Taking taylor expansion of y in y 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.999 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [taylor]: Taking taylor expansion of 0 in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (+ 0 1) into 1 2.000 * [taylor]: Taking taylor expansion of 1 in y 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.001 * [backup-simplify]: Simplify 4.0 into 4.0 2.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in y 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.010 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.010 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 2.010 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.010 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.010 * [taylor]: Taking taylor expansion of 4.0 in y 2.010 * [backup-simplify]: Simplify 4.0 into 4.0 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.010 * [taylor]: Taking taylor expansion of y in y 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.011 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.011 * [taylor]: Taking taylor expansion of x in y 2.011 * [backup-simplify]: Simplify x into x 2.011 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.011 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.011 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.011 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.011 * [taylor]: Taking taylor expansion of 4.0 in x 2.011 * [backup-simplify]: Simplify 4.0 into 4.0 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.011 * [taylor]: Taking taylor expansion of y in x 2.011 * [backup-simplify]: Simplify y into y 2.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.012 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.013 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.013 * [taylor]: Taking taylor expansion of 4.0 in x 2.013 * [backup-simplify]: Simplify 4.0 into 4.0 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.013 * [taylor]: Taking taylor expansion of y in x 2.013 * [backup-simplify]: Simplify y into y 2.013 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.013 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.013 * [taylor]: Taking taylor expansion of x in x 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ 0 1) into 1 2.014 * [taylor]: Taking taylor expansion of 1 in y 2.014 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [taylor]: Taking taylor expansion of 0 in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.019 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.019 * [taylor]: Taking taylor expansion of 4.0 in y 2.019 * [backup-simplify]: Simplify 4.0 into 4.0 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.019 * [taylor]: Taking taylor expansion of y in y 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.020 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.020 * [backup-simplify]: Simplify 4.0 into 4.0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in y 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [taylor]: Taking taylor expansion of 0 in y 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.034 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) into (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.034 * [approximate]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 2.034 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.034 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.034 * [taylor]: Taking taylor expansion of 4.0 in y 2.034 * [backup-simplify]: Simplify 4.0 into 4.0 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.035 * [taylor]: Taking taylor expansion of x in y 2.035 * [backup-simplify]: Simplify x into x 2.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.036 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.036 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.036 * [taylor]: Taking taylor expansion of 4.0 in x 2.036 * [backup-simplify]: Simplify 4.0 into 4.0 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [backup-simplify]: Simplify y into y 2.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.037 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 2.037 * [taylor]: Taking taylor expansion of 4.0 in x 2.037 * [backup-simplify]: Simplify 4.0 into 4.0 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.037 * [taylor]: Taking taylor expansion of y in x 2.037 * [backup-simplify]: Simplify y into y 2.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ 0 1) into 1 2.039 * [taylor]: Taking taylor expansion of 1 in y 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [taylor]: Taking taylor expansion of 0 in y 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 2.043 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 2.043 * [taylor]: Taking taylor expansion of 4.0 in y 2.043 * [backup-simplify]: Simplify 4.0 into 4.0 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.043 * [taylor]: Taking taylor expansion of y in y 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 2.045 * [backup-simplify]: Simplify 4.0 into 4.0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [taylor]: Taking taylor expansion of 0 in y 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in y 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 4.0 (pow y 2)) (pow x 2)) 2.059 * * * [progress]: simplifying candidates 2.065 * [simplify]: Simplifying: (- (log (+ (* x x) (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0))))) (log (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (exp (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (/ (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (* (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0))))) (* (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))) (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (* (* (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (sqrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (sqrt (/ (+ (* x x) (* y (* y 4.0))) (- (* 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(/ 1 (/ 1 (sqrt (- (* x x) (* y (* y 4.0)))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (pow (* x x) 3) (pow (* y (* y 4.0)) 3)))) (/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0)))))) (/ (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (cbrt 1)) (/ (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (sqrt 1)) (/ (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) 1) (/ 1 (+ (* x x) (* y (* y 4.0)))) (* (exp (* x x)) (exp (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (+ (pow (* x x) 3) (pow (* y (* y 4.0)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (* y 4.0)) (* y (* y 4.0))) (* (* x x) (* y (* y 4.0))))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0))) -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))) -1.0 1 1 (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) (+ (* 4.0 (pow y 2)) (pow x 2)) 2.073 * * [simplify]: iteration 0: 192 enodes 2.175 * * [simplify]: iteration 1: 534 enodes 2.530 * * [simplify]: iteration 2: 3314 enodes 3.961 * * [simplify]: iteration complete: 5000 enodes 3.961 * * [simplify]: Extracting #0: cost 85 inf + 0 3.966 * * [simplify]: Extracting #1: cost 1357 inf + 3 3.977 * * [simplify]: Extracting #2: cost 1904 inf + 53 3.989 * * [simplify]: Extracting #3: cost 1851 inf + 592 4.004 * * [simplify]: Extracting #4: cost 1682 inf + 1657 4.016 * * [simplify]: Extracting #5: cost 1259 inf + 8001 4.029 * * [simplify]: Extracting #6: cost 221 inf + 31616 4.040 * * [simplify]: Extracting #7: cost 6 inf + 37601 4.047 * * 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(sqrt (- (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (* 1 (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0))) (/ (* 1 (- (pow x 6) (pow (* y (* y 4.0)) 3))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (pow x 4))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (- (pow x 4) (* (* (* 4.0 (pow y 3)) y) 4.0))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))))) (/ 1 (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))) (/ 1 (sqrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))) (/ 1 (sqrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))) (* (* (/ (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (* (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (* 1 (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (* (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (* 1 (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0))) (/ (* 1 (- (pow x 6) (pow (* y (* y 4.0)) 3))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (pow x 4))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (- (pow x 4) (* (* (* 4.0 (pow y 3)) y) 4.0))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))) (cbrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))))) (/ 1 (sqrt (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))) (* (* (/ (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (* (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) 1 1 (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (* 1 (- (pow x 6) (pow (* y (* y 4.0)) 3))) (+ (* x x) (* y (* y 4.0)))) (* (/ 1 (+ (* x x) (* y (* y 4.0)))) (- (pow x 4) (* (* (* 4.0 (pow y 3)) y) 4.0))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0)))) (pow (+ (* x x) (* y (* y 4.0))) 3) (sqrt (+ (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0)))) (+ (pow x 6) (pow (* y (* y 4.0)) 3)) (+ (pow x 4) (* (* y (* y 4.0)) (- (* y (* y 4.0)) (* x x)))) (- (pow x 4) (* (* (* 4.0 (pow y 3)) y) 4.0)) (- (* x x) (* y (* y 4.0))) -1.0 1 1 (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) -1.0 1 1 (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 4.055 * * * [progress]: adding candidates to table 4.524 * * [progress]: iteration 3 / 4 4.524 * * * [progress]: picking best candidate 4.533 * * * * [pick]: Picked # 4.533 * * * [progress]: localizing error 4.554 * * * [progress]: generating rewritten candidates 4.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.575 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.599 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.621 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.630 * * * [progress]: generating series expansions 4.630 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.630 * [backup-simplify]: Simplify (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.630 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 4.630 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.630 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.630 * [taylor]: Taking taylor expansion of x in y 4.630 * [backup-simplify]: Simplify x into x 4.630 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.630 * [taylor]: Taking taylor expansion of 4.0 in y 4.630 * [backup-simplify]: Simplify 4.0 into 4.0 4.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.630 * [taylor]: Taking taylor expansion of y in y 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.630 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.630 * [taylor]: Taking taylor expansion of 4.0 in y 4.630 * [backup-simplify]: Simplify 4.0 into 4.0 4.630 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.630 * [taylor]: Taking taylor expansion of y in y 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.630 * [taylor]: Taking taylor expansion of x in y 4.630 * [backup-simplify]: Simplify x into x 4.630 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.631 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.631 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.631 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.631 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.631 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.631 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.631 * [taylor]: Taking taylor expansion of 4.0 in x 4.631 * [backup-simplify]: Simplify 4.0 into 4.0 4.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.631 * [taylor]: Taking taylor expansion of y in x 4.631 * [backup-simplify]: Simplify y into y 4.631 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.631 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.631 * [taylor]: Taking taylor expansion of 4.0 in x 4.631 * [backup-simplify]: Simplify 4.0 into 4.0 4.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.631 * [taylor]: Taking taylor expansion of y in x 4.631 * [backup-simplify]: Simplify y into y 4.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.631 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.631 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.632 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.632 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.632 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.632 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.632 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.632 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.632 * [taylor]: Taking taylor expansion of 4.0 in x 4.632 * [backup-simplify]: Simplify 4.0 into 4.0 4.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.632 * [taylor]: Taking taylor expansion of y in x 4.632 * [backup-simplify]: Simplify y into y 4.632 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.632 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.632 * [taylor]: Taking taylor expansion of 4.0 in x 4.632 * [backup-simplify]: Simplify 4.0 into 4.0 4.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.632 * [taylor]: Taking taylor expansion of y in x 4.632 * [backup-simplify]: Simplify y into y 4.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.632 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.633 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.633 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.633 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.633 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.633 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.633 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.633 * [taylor]: Taking taylor expansion of -1.0 in y 4.633 * [backup-simplify]: Simplify -1.0 into -1.0 4.633 * [backup-simplify]: Simplify -1.0 into -1.0 4.633 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.634 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.634 * [backup-simplify]: Simplify (- 0) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.635 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 0) into 0 4.635 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.635 * [taylor]: Taking taylor expansion of 0 in y 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify (* 1 1) into 1 4.636 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.637 * [backup-simplify]: Simplify (- 0) into 0 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.638 * [backup-simplify]: Simplify (* 1 1) into 1 4.638 * [backup-simplify]: Simplify (+ 0 1) into 1 4.639 * [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))) 4.639 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.639 * [taylor]: Taking taylor expansion of 0.5 in y 4.639 * [backup-simplify]: Simplify 0.5 into 0.5 4.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.639 * [taylor]: Taking taylor expansion of y in y 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [backup-simplify]: Simplify (* 1 1) into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.643 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.644 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.644 * [backup-simplify]: Simplify (- 0) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [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 4.647 * [taylor]: Taking taylor expansion of 0 in y 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify -1.0 into -1.0 4.647 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.647 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.647 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.647 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.647 * [taylor]: Taking taylor expansion of x in y 4.647 * [backup-simplify]: Simplify x into x 4.647 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.647 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.647 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.647 * [taylor]: Taking taylor expansion of 4.0 in y 4.647 * [backup-simplify]: Simplify 4.0 into 4.0 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.648 * [taylor]: Taking taylor expansion of y in y 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.648 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.648 * [taylor]: Taking taylor expansion of 4.0 in y 4.648 * [backup-simplify]: Simplify 4.0 into 4.0 4.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.648 * [taylor]: Taking taylor expansion of y in y 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (* 1 1) into 1 4.649 * [backup-simplify]: Simplify (/ 1 1) into 1 4.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.649 * [taylor]: Taking taylor expansion of x in y 4.649 * [backup-simplify]: Simplify x into x 4.649 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.649 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.649 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.649 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.650 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.650 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.651 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.651 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (* 1 1) into 1 4.652 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.652 * [taylor]: Taking taylor expansion of 4.0 in x 4.652 * [backup-simplify]: Simplify 4.0 into 4.0 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [backup-simplify]: Simplify y into y 4.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.652 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.652 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.652 * [taylor]: Taking taylor expansion of 4.0 in x 4.652 * [backup-simplify]: Simplify 4.0 into 4.0 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.652 * [taylor]: Taking taylor expansion of y in x 4.652 * [backup-simplify]: Simplify y into y 4.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.652 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.652 * [taylor]: Taking taylor expansion of x in x 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (* 1 1) into 1 4.653 * [backup-simplify]: Simplify (/ 1 1) into 1 4.653 * [backup-simplify]: Simplify (+ 1 0) into 1 4.653 * [backup-simplify]: Simplify (+ 0 1) into 1 4.654 * [backup-simplify]: Simplify (/ 1 1) into 1 4.654 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.654 * [taylor]: Taking taylor expansion of x in x 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (* 1 1) into 1 4.654 * [backup-simplify]: Simplify (/ 1 1) into 1 4.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.654 * [taylor]: Taking taylor expansion of 4.0 in x 4.654 * [backup-simplify]: Simplify 4.0 into 4.0 4.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.654 * [taylor]: Taking taylor expansion of y in x 4.654 * [backup-simplify]: Simplify y into y 4.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.654 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.654 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.655 * [taylor]: Taking taylor expansion of 4.0 in x 4.655 * [backup-simplify]: Simplify 4.0 into 4.0 4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.655 * [taylor]: Taking taylor expansion of y in x 4.655 * [backup-simplify]: Simplify y into y 4.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.655 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.655 * [taylor]: Taking taylor expansion of x in x 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (* 1 1) into 1 4.655 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [backup-simplify]: Simplify (+ 1 0) into 1 4.656 * [backup-simplify]: Simplify (+ 0 1) into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [taylor]: Taking taylor expansion of 1 in y 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.659 * [taylor]: Taking taylor expansion of 0 in y 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.660 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.660 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.660 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.662 * [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)))) 4.662 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.662 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.662 * [taylor]: Taking taylor expansion of 8.0 in y 4.662 * [backup-simplify]: Simplify 8.0 into 8.0 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.662 * [taylor]: Taking taylor expansion of y in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (* 1 1) into 1 4.663 * [backup-simplify]: Simplify (/ 1 1) into 1 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.666 * [backup-simplify]: Simplify (- 0) into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.667 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.668 * [backup-simplify]: Simplify (- 0) into 0 4.668 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [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 4.671 * [taylor]: Taking taylor expansion of 0 in y 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.671 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.672 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.672 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.672 * [taylor]: Taking taylor expansion of x in y 4.672 * [backup-simplify]: Simplify x into x 4.672 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.672 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.672 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.672 * [taylor]: Taking taylor expansion of 4.0 in y 4.672 * [backup-simplify]: Simplify 4.0 into 4.0 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.672 * [taylor]: Taking taylor expansion of y in y 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 1 1) into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.672 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.672 * [taylor]: Taking taylor expansion of 4.0 in y 4.672 * [backup-simplify]: Simplify 4.0 into 4.0 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.672 * [taylor]: Taking taylor expansion of y in y 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (* 1 1) into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.673 * [taylor]: Taking taylor expansion of x in y 4.673 * [backup-simplify]: Simplify x into x 4.673 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.673 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.674 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.674 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.674 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.675 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.675 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.675 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.675 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.675 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.676 * [taylor]: Taking taylor expansion of x in x 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.676 * [taylor]: Taking taylor expansion of 4.0 in x 4.676 * [backup-simplify]: Simplify 4.0 into 4.0 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.676 * [taylor]: Taking taylor expansion of y in x 4.676 * [backup-simplify]: Simplify y into y 4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.676 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.676 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.676 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.676 * [taylor]: Taking taylor expansion of 4.0 in x 4.676 * [backup-simplify]: Simplify 4.0 into 4.0 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.676 * [taylor]: Taking taylor expansion of y in x 4.676 * [backup-simplify]: Simplify y into y 4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.677 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (* 1 1) into 1 4.677 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [backup-simplify]: Simplify (+ 1 0) into 1 4.680 * [backup-simplify]: Simplify (+ 0 1) into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (* 1 1) into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.680 * [taylor]: Taking taylor expansion of 4.0 in x 4.680 * [backup-simplify]: Simplify 4.0 into 4.0 4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.681 * [taylor]: Taking taylor expansion of y in x 4.681 * [backup-simplify]: Simplify y into y 4.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.681 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.681 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.681 * [taylor]: Taking taylor expansion of 4.0 in x 4.681 * [backup-simplify]: Simplify 4.0 into 4.0 4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.681 * [taylor]: Taking taylor expansion of y in x 4.681 * [backup-simplify]: Simplify y into y 4.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.681 * [taylor]: Taking taylor expansion of x in x 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (* 1 1) into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [backup-simplify]: Simplify (+ 1 0) into 1 4.682 * [backup-simplify]: Simplify (+ 0 1) into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [taylor]: Taking taylor expansion of 1 in y 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.685 * [taylor]: Taking taylor expansion of 0 in y 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.686 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.687 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.687 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.689 * [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)))) 4.689 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.689 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.689 * [taylor]: Taking taylor expansion of 8.0 in y 4.689 * [backup-simplify]: Simplify 8.0 into 8.0 4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.689 * [taylor]: Taking taylor expansion of y in y 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.692 * [backup-simplify]: Simplify (- 0) into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.694 * [backup-simplify]: Simplify (- 0) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.695 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [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 4.698 * [taylor]: Taking taylor expansion of 0 in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.698 * [backup-simplify]: Simplify (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.698 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 4.698 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.698 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.698 * [taylor]: Taking taylor expansion of x in y 4.698 * [backup-simplify]: Simplify x into x 4.698 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.698 * [taylor]: Taking taylor expansion of 4.0 in y 4.698 * [backup-simplify]: Simplify 4.0 into 4.0 4.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.698 * [taylor]: Taking taylor expansion of y in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.698 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.698 * [taylor]: Taking taylor expansion of 4.0 in y 4.698 * [backup-simplify]: Simplify 4.0 into 4.0 4.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.699 * [taylor]: Taking taylor expansion of y in y 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.699 * [taylor]: Taking taylor expansion of x in y 4.699 * [backup-simplify]: Simplify x into x 4.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.699 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.699 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.699 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.699 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.699 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.699 * [taylor]: Taking taylor expansion of 4.0 in x 4.699 * [backup-simplify]: Simplify 4.0 into 4.0 4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [backup-simplify]: Simplify y into y 4.699 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.699 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.699 * [taylor]: Taking taylor expansion of 4.0 in x 4.699 * [backup-simplify]: Simplify 4.0 into 4.0 4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.699 * [taylor]: Taking taylor expansion of y in x 4.699 * [backup-simplify]: Simplify y into y 4.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.699 * [taylor]: Taking taylor expansion of x in x 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 1 into 1 4.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.699 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.700 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.700 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.700 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.700 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.700 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.700 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.700 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.700 * [taylor]: Taking taylor expansion of x in x 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.700 * [taylor]: Taking taylor expansion of 4.0 in x 4.700 * [backup-simplify]: Simplify 4.0 into 4.0 4.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.700 * [taylor]: Taking taylor expansion of y in x 4.700 * [backup-simplify]: Simplify y into y 4.700 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.700 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.700 * [taylor]: Taking taylor expansion of 4.0 in x 4.700 * [backup-simplify]: Simplify 4.0 into 4.0 4.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.700 * [taylor]: Taking taylor expansion of y in x 4.700 * [backup-simplify]: Simplify y into y 4.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.700 * [taylor]: Taking taylor expansion of x in x 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.701 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.701 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.701 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.701 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.701 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.701 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.701 * [taylor]: Taking taylor expansion of -1.0 in y 4.701 * [backup-simplify]: Simplify -1.0 into -1.0 4.701 * [backup-simplify]: Simplify -1.0 into -1.0 4.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.702 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.702 * [backup-simplify]: Simplify (- 0) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.703 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.703 * [taylor]: Taking taylor expansion of 0 in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (* 1 1) into 1 4.704 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.704 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.705 * [backup-simplify]: Simplify (+ 1 0) into 1 4.705 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.706 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (+ 0 1) into 1 4.707 * [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))) 4.707 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.707 * [taylor]: Taking taylor expansion of 0.5 in y 4.707 * [backup-simplify]: Simplify 0.5 into 0.5 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.707 * [taylor]: Taking taylor expansion of y in y 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.715 * [backup-simplify]: Simplify (- 0) into 0 4.715 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.717 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.719 * [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 4.719 * [taylor]: Taking taylor expansion of 0 in y 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify -1.0 into -1.0 4.720 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.720 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.720 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.720 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.720 * [taylor]: Taking taylor expansion of x in y 4.720 * [backup-simplify]: Simplify x into x 4.720 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.720 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.720 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.720 * [taylor]: Taking taylor expansion of 4.0 in y 4.721 * [backup-simplify]: Simplify 4.0 into 4.0 4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.721 * [taylor]: Taking taylor expansion of y in y 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (* 1 1) into 1 4.722 * [backup-simplify]: Simplify (/ 1 1) into 1 4.722 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.722 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.722 * [taylor]: Taking taylor expansion of 4.0 in y 4.722 * [backup-simplify]: Simplify 4.0 into 4.0 4.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.722 * [taylor]: Taking taylor expansion of y in y 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.723 * [backup-simplify]: Simplify (/ 1 1) into 1 4.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.723 * [taylor]: Taking taylor expansion of x in y 4.723 * [backup-simplify]: Simplify x into x 4.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.723 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.723 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.724 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.725 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.725 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.726 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.726 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.726 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.727 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.727 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.727 * [taylor]: Taking taylor expansion of x in x 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (* 1 1) into 1 4.727 * [backup-simplify]: Simplify (/ 1 1) into 1 4.727 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.728 * [taylor]: Taking taylor expansion of 4.0 in x 4.728 * [backup-simplify]: Simplify 4.0 into 4.0 4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.728 * [taylor]: Taking taylor expansion of y in x 4.728 * [backup-simplify]: Simplify y into y 4.728 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.728 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.728 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.728 * [taylor]: Taking taylor expansion of 4.0 in x 4.728 * [backup-simplify]: Simplify 4.0 into 4.0 4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.728 * [taylor]: Taking taylor expansion of y in x 4.728 * [backup-simplify]: Simplify y into y 4.728 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.728 * [taylor]: Taking taylor expansion of x in x 4.728 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.729 * [backup-simplify]: Simplify (/ 1 1) into 1 4.730 * [backup-simplify]: Simplify (+ 1 0) into 1 4.730 * [backup-simplify]: Simplify (+ 0 1) into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.731 * [taylor]: Taking taylor expansion of x in x 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (* 1 1) into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.732 * [taylor]: Taking taylor expansion of 4.0 in x 4.732 * [backup-simplify]: Simplify 4.0 into 4.0 4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.732 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.732 * [taylor]: Taking taylor expansion of 4.0 in x 4.732 * [backup-simplify]: Simplify 4.0 into 4.0 4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.733 * [taylor]: Taking taylor expansion of x in x 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify 1 into 1 4.733 * [backup-simplify]: Simplify (* 1 1) into 1 4.733 * [backup-simplify]: Simplify (/ 1 1) into 1 4.734 * [backup-simplify]: Simplify (+ 1 0) into 1 4.734 * [backup-simplify]: Simplify (+ 0 1) into 1 4.735 * [backup-simplify]: Simplify (/ 1 1) into 1 4.735 * [taylor]: Taking taylor expansion of 1 in y 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (+ 0 0) into 0 4.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (+ 0 0) into 0 4.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.739 * [taylor]: Taking taylor expansion of 0 in y 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.741 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.741 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.742 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.742 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.745 * [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)))) 4.745 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.745 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.745 * [taylor]: Taking taylor expansion of 8.0 in y 4.745 * [backup-simplify]: Simplify 8.0 into 8.0 4.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.745 * [taylor]: Taking taylor expansion of y in y 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (* 1 1) into 1 4.746 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.751 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.754 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.754 * [backup-simplify]: Simplify (- 0) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.755 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.756 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [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 4.760 * [taylor]: Taking taylor expansion of 0 in y 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.760 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.760 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.760 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.761 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.761 * [taylor]: Taking taylor expansion of x in y 4.761 * [backup-simplify]: Simplify x into x 4.761 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.761 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.761 * [taylor]: Taking taylor expansion of 4.0 in y 4.761 * [backup-simplify]: Simplify 4.0 into 4.0 4.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.761 * [taylor]: Taking taylor expansion of y in y 4.761 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (* 1 1) into 1 4.762 * [backup-simplify]: Simplify (/ 1 1) into 1 4.762 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.762 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.762 * [taylor]: Taking taylor expansion of 4.0 in y 4.762 * [backup-simplify]: Simplify 4.0 into 4.0 4.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.762 * [taylor]: Taking taylor expansion of y in y 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [backup-simplify]: Simplify (* 1 1) into 1 4.763 * [backup-simplify]: Simplify (/ 1 1) into 1 4.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.763 * [taylor]: Taking taylor expansion of x in y 4.763 * [backup-simplify]: Simplify x into x 4.763 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.763 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.763 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.764 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.765 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.765 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.765 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.766 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.766 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.766 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.766 * [taylor]: Taking taylor expansion of x in x 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* 1 1) into 1 4.767 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.767 * [taylor]: Taking taylor expansion of 4.0 in x 4.767 * [backup-simplify]: Simplify 4.0 into 4.0 4.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.767 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.767 * [taylor]: Taking taylor expansion of y in x 4.767 * [backup-simplify]: Simplify y into y 4.767 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.767 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.767 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.767 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.767 * [taylor]: Taking taylor expansion of 4.0 in x 4.767 * [backup-simplify]: Simplify 4.0 into 4.0 4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.768 * [taylor]: Taking taylor expansion of y in x 4.768 * [backup-simplify]: Simplify y into y 4.768 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.768 * [taylor]: Taking taylor expansion of x in x 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (* 1 1) into 1 4.769 * [backup-simplify]: Simplify (/ 1 1) into 1 4.769 * [backup-simplify]: Simplify (+ 1 0) into 1 4.769 * [backup-simplify]: Simplify (+ 0 1) into 1 4.770 * [backup-simplify]: Simplify (/ 1 1) into 1 4.770 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.770 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.770 * [taylor]: Taking taylor expansion of x in x 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.771 * [backup-simplify]: Simplify (/ 1 1) into 1 4.771 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.771 * [taylor]: Taking taylor expansion of 4.0 in x 4.771 * [backup-simplify]: Simplify 4.0 into 4.0 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.771 * [taylor]: Taking taylor expansion of y in x 4.771 * [backup-simplify]: Simplify y into y 4.771 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.771 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.771 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.771 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.771 * [taylor]: Taking taylor expansion of 4.0 in x 4.771 * [backup-simplify]: Simplify 4.0 into 4.0 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.771 * [taylor]: Taking taylor expansion of y in x 4.771 * [backup-simplify]: Simplify y into y 4.771 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.771 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.771 * [taylor]: Taking taylor expansion of x in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [backup-simplify]: Simplify (+ 1 0) into 1 4.773 * [backup-simplify]: Simplify (+ 0 1) into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of 1 in y 4.773 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.777 * [taylor]: Taking taylor expansion of 0 in y 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.779 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.779 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.779 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.780 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.781 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.782 * [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)))) 4.782 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.782 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.782 * [taylor]: Taking taylor expansion of 8.0 in y 4.782 * [backup-simplify]: Simplify 8.0 into 8.0 4.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.782 * [taylor]: Taking taylor expansion of y in y 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (* 1 1) into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.787 * [backup-simplify]: Simplify (- 0) into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.790 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.790 * [backup-simplify]: Simplify (- 0) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.791 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [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 4.795 * [taylor]: Taking taylor expansion of 0 in y 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.795 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.796 * [backup-simplify]: Simplify (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) 4.796 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in (x y) around 0 4.796 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in y 4.796 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.796 * [taylor]: Taking taylor expansion of x in y 4.796 * [backup-simplify]: Simplify x into x 4.796 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.796 * [taylor]: Taking taylor expansion of 4.0 in y 4.796 * [backup-simplify]: Simplify 4.0 into 4.0 4.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.796 * [taylor]: Taking taylor expansion of y in y 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in y 4.796 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.796 * [taylor]: Taking taylor expansion of 4.0 in y 4.796 * [backup-simplify]: Simplify 4.0 into 4.0 4.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.796 * [taylor]: Taking taylor expansion of y in y 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.796 * [taylor]: Taking taylor expansion of x in y 4.796 * [backup-simplify]: Simplify x into x 4.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.797 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.797 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.797 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.797 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.797 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.797 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.797 * [taylor]: Taking taylor expansion of 4.0 in x 4.797 * [backup-simplify]: Simplify 4.0 into 4.0 4.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.797 * [taylor]: Taking taylor expansion of y in x 4.797 * [backup-simplify]: Simplify y into y 4.797 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.797 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.797 * [taylor]: Taking taylor expansion of 4.0 in x 4.797 * [backup-simplify]: Simplify 4.0 into 4.0 4.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.797 * [taylor]: Taking taylor expansion of y in x 4.797 * [backup-simplify]: Simplify y into y 4.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.797 * [taylor]: Taking taylor expansion of x in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.798 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.798 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.798 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.798 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.798 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.799 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.799 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (* 4.0 (pow y 2)) (pow x 2))) in x 4.799 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.799 * [taylor]: Taking taylor expansion of x in x 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.799 * [taylor]: Taking taylor expansion of 4.0 in x 4.799 * [backup-simplify]: Simplify 4.0 into 4.0 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.799 * [taylor]: Taking taylor expansion of y in x 4.799 * [backup-simplify]: Simplify y into y 4.799 * [taylor]: Taking taylor expansion of (+ (* 4.0 (pow y 2)) (pow x 2)) in x 4.799 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.799 * [taylor]: Taking taylor expansion of 4.0 in x 4.799 * [backup-simplify]: Simplify 4.0 into 4.0 4.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.799 * [taylor]: Taking taylor expansion of y in x 4.799 * [backup-simplify]: Simplify y into y 4.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.799 * [taylor]: Taking taylor expansion of x in x 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.799 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.799 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.800 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.800 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.800 * [backup-simplify]: Simplify (+ (* 4.0 (pow y 2)) 0) into (* 4.0 (pow y 2)) 4.800 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 4.800 * [taylor]: Taking taylor expansion of -1.0 in y 4.800 * [backup-simplify]: Simplify -1.0 into -1.0 4.800 * [backup-simplify]: Simplify -1.0 into -1.0 4.801 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.801 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.802 * [backup-simplify]: Simplify (- 0) into 0 4.802 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.803 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.803 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 4.803 * [taylor]: Taking taylor expansion of 0 in y 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (* 1 1) into 1 4.804 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.805 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.805 * [backup-simplify]: Simplify (- 0) into 0 4.806 * [backup-simplify]: Simplify (+ 1 0) into 1 4.806 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.807 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.807 * [backup-simplify]: Simplify (* 1 1) into 1 4.808 * [backup-simplify]: Simplify (+ 0 1) into 1 4.808 * [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))) 4.809 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 4.809 * [taylor]: Taking taylor expansion of 0.5 in y 4.809 * [backup-simplify]: Simplify 0.5 into 0.5 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.809 * [taylor]: Taking taylor expansion of y in y 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (* 1 1) into 1 4.813 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.820 * [backup-simplify]: Simplify (- 0) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.821 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.822 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.824 * [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 4.824 * [taylor]: Taking taylor expansion of 0 in y 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify -1.0 into -1.0 4.824 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.824 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.824 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.824 * [taylor]: Taking taylor expansion of x in y 4.824 * [backup-simplify]: Simplify x into x 4.824 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.824 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.824 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.824 * [taylor]: Taking taylor expansion of 4.0 in y 4.824 * [backup-simplify]: Simplify 4.0 into 4.0 4.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.824 * [taylor]: Taking taylor expansion of y in y 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (* 1 1) into 1 4.825 * [backup-simplify]: Simplify (/ 1 1) into 1 4.825 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.825 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.825 * [taylor]: Taking taylor expansion of 4.0 in y 4.825 * [backup-simplify]: Simplify 4.0 into 4.0 4.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.825 * [taylor]: Taking taylor expansion of y in y 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (* 1 1) into 1 4.825 * [backup-simplify]: Simplify (/ 1 1) into 1 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.826 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.826 * [taylor]: Taking taylor expansion of x in y 4.826 * [backup-simplify]: Simplify x into x 4.826 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.826 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.826 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.826 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.827 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.827 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.827 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.828 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.828 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.828 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.828 * [taylor]: Taking taylor expansion of x in x 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (* 1 1) into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.829 * [taylor]: Taking taylor expansion of 4.0 in x 4.829 * [backup-simplify]: Simplify 4.0 into 4.0 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.829 * [taylor]: Taking taylor expansion of y in x 4.829 * [backup-simplify]: Simplify y into y 4.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.829 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.829 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.829 * [taylor]: Taking taylor expansion of 4.0 in x 4.829 * [backup-simplify]: Simplify 4.0 into 4.0 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.829 * [taylor]: Taking taylor expansion of y in x 4.829 * [backup-simplify]: Simplify y into y 4.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.830 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [backup-simplify]: Simplify (+ 1 0) into 1 4.830 * [backup-simplify]: Simplify (+ 0 1) into 1 4.830 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.830 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.830 * [taylor]: Taking taylor expansion of x in x 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.831 * [taylor]: Taking taylor expansion of 4.0 in x 4.831 * [backup-simplify]: Simplify 4.0 into 4.0 4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.831 * [taylor]: Taking taylor expansion of y in x 4.831 * [backup-simplify]: Simplify y into y 4.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.831 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.831 * [taylor]: Taking taylor expansion of 4.0 in x 4.831 * [backup-simplify]: Simplify 4.0 into 4.0 4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.831 * [taylor]: Taking taylor expansion of y in x 4.831 * [backup-simplify]: Simplify y into y 4.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.832 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (* 1 1) into 1 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.832 * [backup-simplify]: Simplify (+ 1 0) into 1 4.833 * [backup-simplify]: Simplify (+ 0 1) into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of 1 in y 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.834 * [backup-simplify]: Simplify (+ 0 0) into 0 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ 0 0) into 0 4.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.836 * [taylor]: Taking taylor expansion of 0 in y 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.837 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.837 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.837 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.839 * [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)))) 4.839 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.839 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.839 * [taylor]: Taking taylor expansion of 8.0 in y 4.839 * [backup-simplify]: Simplify 8.0 into 8.0 4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.839 * [taylor]: Taking taylor expansion of y in y 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (* 1 1) into 1 4.840 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.845 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.845 * [backup-simplify]: Simplify (- 0) into 0 4.845 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.846 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.848 * [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 4.848 * [taylor]: Taking taylor expansion of 0 in y 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 4.849 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 4.849 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 4.849 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.849 * [taylor]: Taking taylor expansion of x in y 4.849 * [backup-simplify]: Simplify x into x 4.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.849 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.849 * [taylor]: Taking taylor expansion of 4.0 in y 4.849 * [backup-simplify]: Simplify 4.0 into 4.0 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.849 * [taylor]: Taking taylor expansion of y in y 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (* 1 1) into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 4.849 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.849 * [taylor]: Taking taylor expansion of 4.0 in y 4.850 * [backup-simplify]: Simplify 4.0 into 4.0 4.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.850 * [taylor]: Taking taylor expansion of y in y 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (* 1 1) into 1 4.850 * [backup-simplify]: Simplify (/ 1 1) into 1 4.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.850 * [taylor]: Taking taylor expansion of x in y 4.850 * [backup-simplify]: Simplify x into x 4.850 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.850 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.851 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.851 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.851 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 4.852 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.852 * [backup-simplify]: Simplify (+ 4.0 0) into 4.0 4.853 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 4.853 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.853 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.853 * [taylor]: Taking taylor expansion of x in x 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (* 1 1) into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.853 * [taylor]: Taking taylor expansion of 4.0 in x 4.853 * [backup-simplify]: Simplify 4.0 into 4.0 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.853 * [taylor]: Taking taylor expansion of y in x 4.853 * [backup-simplify]: Simplify y into y 4.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.854 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.854 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.854 * [taylor]: Taking taylor expansion of 4.0 in x 4.854 * [backup-simplify]: Simplify 4.0 into 4.0 4.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.854 * [taylor]: Taking taylor expansion of y in x 4.854 * [backup-simplify]: Simplify y into y 4.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.854 * [taylor]: Taking taylor expansion of x in x 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (* 1 1) into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.855 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (+ 0 1) into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.855 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 4.855 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.855 * [taylor]: Taking taylor expansion of x in x 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.856 * [taylor]: Taking taylor expansion of 4.0 in x 4.856 * [backup-simplify]: Simplify 4.0 into 4.0 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.856 * [taylor]: Taking taylor expansion of y in x 4.856 * [backup-simplify]: Simplify y into y 4.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.856 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 4.856 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.856 * [taylor]: Taking taylor expansion of 4.0 in x 4.856 * [backup-simplify]: Simplify 4.0 into 4.0 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.856 * [taylor]: Taking taylor expansion of y in x 4.856 * [backup-simplify]: Simplify y into y 4.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.856 * [taylor]: Taking taylor expansion of x in x 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.857 * [backup-simplify]: Simplify (/ 1 1) into 1 4.857 * [backup-simplify]: Simplify (+ 1 0) into 1 4.857 * [backup-simplify]: Simplify (+ 0 1) into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [taylor]: Taking taylor expansion of 1 in y 4.858 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.862 * [taylor]: Taking taylor expansion of 0 in y 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.864 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.864 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.865 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (+ (/ 4.0 (pow y 2)) 0) into (* 4.0 (/ 1 (pow y 2))) 4.868 * [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)))) 4.868 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 4.868 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 4.868 * [taylor]: Taking taylor expansion of 8.0 in y 4.868 * [backup-simplify]: Simplify 8.0 into 8.0 4.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.868 * [taylor]: Taking taylor expansion of y in y 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (* 1 1) into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 4.874 * [backup-simplify]: Simplify (- 0) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.876 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.877 * [backup-simplify]: Simplify (- 0) into 0 4.878 * [backup-simplify]: Simplify (+ 0 0) into 0 4.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [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 4.883 * [taylor]: Taking taylor expansion of 0 in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.883 * [backup-simplify]: Simplify (- (* x x) (* y (* y 4.0))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.883 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 4.883 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 4.883 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.883 * [taylor]: Taking taylor expansion of x in y 4.883 * [backup-simplify]: Simplify x into x 4.883 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.883 * [taylor]: Taking taylor expansion of 4.0 in y 4.883 * [backup-simplify]: Simplify 4.0 into 4.0 4.883 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.883 * [taylor]: Taking taylor expansion of y in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.883 * [taylor]: Taking taylor expansion of x in x 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.883 * [taylor]: Taking taylor expansion of 4.0 in x 4.883 * [backup-simplify]: Simplify 4.0 into 4.0 4.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.883 * [taylor]: Taking taylor expansion of y in x 4.883 * [backup-simplify]: Simplify y into y 4.883 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 4.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.883 * [taylor]: Taking taylor expansion of x in x 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 4.883 * [taylor]: Taking taylor expansion of 4.0 in x 4.883 * [backup-simplify]: Simplify 4.0 into 4.0 4.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.883 * [taylor]: Taking taylor expansion of y in x 4.883 * [backup-simplify]: Simplify y into y 4.884 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.884 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 4.884 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 4.884 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 4.884 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 4.884 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 4.884 * [taylor]: Taking taylor expansion of 4.0 in y 4.884 * [backup-simplify]: Simplify 4.0 into 4.0 4.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.884 * [taylor]: Taking taylor expansion of y in y 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.885 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 4.885 * [backup-simplify]: Simplify (- 0) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [taylor]: Taking taylor expansion of 0 in y 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.886 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.886 * [backup-simplify]: Simplify (- 0) into 0 4.887 * [backup-simplify]: Simplify (+ 1 0) into 1 4.887 * [taylor]: Taking taylor expansion of 1 in y 4.887 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (* 1 1) into 1 4.887 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.888 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.888 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.889 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.890 * [backup-simplify]: Simplify (- 0) into 0 4.890 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [taylor]: Taking taylor expansion of 0 in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (- 0) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.892 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.893 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.894 * [backup-simplify]: Simplify (- 0) into 0 4.894 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [taylor]: Taking taylor expansion of 0 in y 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 4.895 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (* (/ 1 y) 4.0))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.895 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.895 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.895 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.895 * [taylor]: Taking taylor expansion of x in y 4.895 * [backup-simplify]: Simplify x into x 4.895 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.895 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.895 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.895 * [taylor]: Taking taylor expansion of 4.0 in y 4.895 * [backup-simplify]: Simplify 4.0 into 4.0 4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.895 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.895 * [taylor]: Taking taylor expansion of y in y 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (* 1 1) into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.896 * [taylor]: Taking taylor expansion of x in x 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (* 1 1) into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.896 * [taylor]: Taking taylor expansion of 4.0 in x 4.896 * [backup-simplify]: Simplify 4.0 into 4.0 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.896 * [taylor]: Taking taylor expansion of y in x 4.896 * [backup-simplify]: Simplify y into y 4.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.897 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.897 * [taylor]: Taking taylor expansion of x in x 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (* 1 1) into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.897 * [taylor]: Taking taylor expansion of 4.0 in x 4.897 * [backup-simplify]: Simplify 4.0 into 4.0 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.897 * [taylor]: Taking taylor expansion of y in x 4.897 * [backup-simplify]: Simplify y into y 4.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.898 * [backup-simplify]: Simplify (+ 1 0) into 1 4.898 * [taylor]: Taking taylor expansion of 1 in y 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (+ 0 0) into 0 4.899 * [taylor]: Taking taylor expansion of 0 in y 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.900 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.900 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.900 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.900 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.900 * [taylor]: Taking taylor expansion of 4.0 in y 4.900 * [backup-simplify]: Simplify 4.0 into 4.0 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.901 * [taylor]: Taking taylor expansion of y in y 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (* 1 1) into 1 4.901 * [backup-simplify]: Simplify (/ 1 1) into 1 4.901 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.902 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.902 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.904 * [backup-simplify]: Simplify (- 0) into 0 4.904 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [taylor]: Taking taylor expansion of 0 in y 4.904 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.906 * [backup-simplify]: Simplify (- 0) into 0 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.908 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.908 * [backup-simplify]: Simplify (- 0) into 0 4.909 * [backup-simplify]: Simplify (+ 0 0) into 0 4.909 * [taylor]: Taking taylor expansion of 0 in y 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.911 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 0 into 0 4.912 * [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))) 4.912 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (* (/ 1 (- y)) 4.0))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 4.912 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 4.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.912 * [taylor]: Taking taylor expansion of x in y 4.912 * [backup-simplify]: Simplify x into x 4.912 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.912 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.913 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.913 * [taylor]: Taking taylor expansion of 4.0 in y 4.913 * [backup-simplify]: Simplify 4.0 into 4.0 4.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.913 * [taylor]: Taking taylor expansion of y in y 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.914 * [taylor]: Taking taylor expansion of x in x 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (* 1 1) into 1 4.914 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.915 * [taylor]: Taking taylor expansion of 4.0 in x 4.915 * [backup-simplify]: Simplify 4.0 into 4.0 4.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.915 * [taylor]: Taking taylor expansion of y in x 4.915 * [backup-simplify]: Simplify y into y 4.915 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.915 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.915 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 4.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.915 * [taylor]: Taking taylor expansion of x in x 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 4.916 * [taylor]: Taking taylor expansion of 4.0 in x 4.916 * [backup-simplify]: Simplify 4.0 into 4.0 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.916 * [taylor]: Taking taylor expansion of y in x 4.916 * [backup-simplify]: Simplify y into y 4.916 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.916 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.917 * [backup-simplify]: Simplify (+ 1 0) into 1 4.917 * [taylor]: Taking taylor expansion of 1 in y 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.919 * [taylor]: Taking taylor expansion of 0 in y 4.919 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 4.921 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.921 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 4.921 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 4.921 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 4.921 * [taylor]: Taking taylor expansion of 4.0 in y 4.921 * [backup-simplify]: Simplify 4.0 into 4.0 4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.921 * [taylor]: Taking taylor expansion of y in y 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 4.925 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.925 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 4.929 * [backup-simplify]: Simplify (- 0) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.929 * [taylor]: Taking taylor expansion of 0 in y 4.929 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (- 0) into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.936 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.936 * [backup-simplify]: Simplify (- 0) into 0 4.937 * [backup-simplify]: Simplify (+ 0 0) into 0 4.937 * [taylor]: Taking taylor expansion of 0 in y 4.937 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.941 * [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))) 4.941 * * * [progress]: simplifying candidates 4.945 * [simplify]: Simplifying: (- (log (- (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (* (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) 1) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) 1) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ 1 1) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) 1) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (pow (* x x) 3) (pow (* y (* y 4.0)) 3))) (/ (- (* x x) (* y (* y 4.0))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* (* x x) (* x x)) (+ (* (* y (* y 4.0)) (* y (* y 4.0))) (* (* x x) (* y (* y 4.0)))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (- (log (- (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (* (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) 1) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) 1) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ 1 1) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) 1) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (pow (* x x) 3) (pow (* y (* y 4.0)) 3))) (/ (- (* x x) (* y (* y 4.0))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* (* x x) (* x x)) (+ (* (* y (* y 4.0)) (* y (* y 4.0))) (* (* x x) (* y (* y 4.0)))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (- (log (- (* x x) (* y (* y 4.0)))) (log (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (* (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (* (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))))) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (* (* (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0)))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) 1) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) 1) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ 1 1) (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) 1) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (pow (* x x) 3) (pow (* y (* y 4.0)) 3))) (/ (- (* x x) (* y (* y 4.0))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* (* x x) (* x x)) (+ (* (* y (* y 4.0)) (* y (* y 4.0))) (* (* x x) (* y (* y 4.0)))))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ (exp (* x x)) (exp (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0)))) (* (* (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (- (pow (* x x) 3) (pow (* y (* y 4.0)) 3)) (+ (* (* x x) (* x x)) (+ (* (* y (* y 4.0)) (* y (* y 4.0))) (* (* x x) (* y (* y 4.0))))) (- (* y (* y 4.0))) (- (* (* x x) (* x x)) (* (* y (* y 4.0)) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))) (- (* y (* y 4.0))) -1.0 1 1 -1.0 1 1 -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))) 4.949 * * [simplify]: iteration 0: 82 enodes 4.966 * * [simplify]: iteration 1: 237 enodes 5.101 * * [simplify]: iteration 2: 1343 enodes 5.574 * * [simplify]: iteration complete: 5002 enodes 5.574 * * [simplify]: Extracting #0: cost 47 inf + 0 5.575 * * [simplify]: Extracting #1: cost 486 inf + 2 5.579 * * [simplify]: Extracting #2: cost 1683 inf + 45 5.587 * * [simplify]: Extracting #3: cost 1872 inf + 2873 5.611 * * [simplify]: Extracting #4: cost 556 inf + 22054 5.620 * * [simplify]: Extracting #5: cost 67 inf + 32407 5.628 * * [simplify]: Extracting #6: cost 7 inf + 33192 5.635 * * [simplify]: Extracting #7: cost 0 inf + 33249 5.644 * [simplify]: Simplified to: (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (log (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3) (* (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))))) (cbrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (pow (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) 3) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (sqrt (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))) (- (- (* x x) (* y (* y 4.0)))) (- (+ (* x x) (* y (* y 4.0)))) (/ (* x x) (+ (* x x) (* y (* y 4.0)))) (/ 4.0 (/ (+ (* x x) (* y (* y 4.0))) (pow y 2))) (* (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (/ (sqrt (+ (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0)))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (cbrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (+ (* x x) (* y (* y 4.0))))) (sqrt (- (* x x) (* y (* y 4.0)))) (/ (sqrt (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (* (cbrt (+ (* x x) (* y (* y 4.0)))) (cbrt (+ (* x x) (* y (* y 4.0)))))) (/ (- (* x x) (* y (* y 4.0))) (cbrt (+ (* x x) (* y (* y 4.0))))) (/ 1 (sqrt (+ (* x x) (* y (* y 4.0))))) (/ (- (* x x) (* y (* y 4.0))) (sqrt (+ (* x x) (* y (* y 4.0))))) 1 (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (/ 1 (+ (* x x) (* y (* y 4.0)))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x 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(+ (* x x) (* y (* y 4.0))))) (- (* x x) (* y (* y 4.0))) (/ (+ (* x x) (* y (* y 4.0))) (cbrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (sqrt (- (* x x) (* y (* y 4.0))))) (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))) (/ (- (* x x) (* y (* y 4.0))) (+ (pow (* y (* y 4.0)) 3) (pow x 6))) (/ (- (* x x) (* y (* y 4.0))) (- (pow x 4) (* (pow y (* 2 2)) (* 4.0 4.0)))) (* (+ (* (pow y 2) (* 4.0 (+ (* x x) (* y (* y 4.0))))) (pow x 4)) (+ (* x x) (* y (* y 4.0)))) (* (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (log (- (* x x) (* y (* y 4.0)))) (exp (- (* x x) (* y (* y 4.0)))) (* (cbrt (- (* x x) (* y (* y 4.0)))) (cbrt (- (* x x) (* y (* y 4.0))))) (cbrt (- (* x x) (* y (* y 4.0)))) (pow (- (* x x) (* y (* y 4.0))) 3) (sqrt (- (* x x) (* y (* y 4.0)))) (sqrt (- (* x x) (* y (* y 4.0)))) (- (pow x 6) (pow (* y (* y 4.0)) 3)) (+ (* (pow y 2) (* 4.0 (+ (* x x) (* y (* y 4.0))))) (pow x 4)) (* (- y) (* y 4.0)) (- (pow x 4) (* (pow y (* 2 2)) (* 4.0 4.0))) (+ (* x x) (* y (* y 4.0))) (* (- y) (* y 4.0)) -1.0 1 1 -1.0 1 1 -1.0 1 1 (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))) 5.646 * * * [progress]: adding candidates to table 6.358 * * [progress]: iteration 4 / 4 6.358 * * * [progress]: picking best candidate 6.362 * * * * [pick]: Picked # 6.362 * * * [progress]: localizing error 6.365 * * * [progress]: generating rewritten candidates 6.365 * * * [progress]: generating series expansions 6.365 * * * [progress]: simplifying candidates 6.365 * [simplify]: Simplifying: 6.365 * * [simplify]: iteration 0: 0 enodes 6.365 * * [simplify]: iteration complete: 0 enodes 6.365 * * [simplify]: Extracting #0: cost 0 inf + 0 6.365 * [simplify]: Simplified to: 6.365 * * * [progress]: adding candidates to table 6.365 * [progress]: [Phase 3 of 3] Extracting. 6.365 * * [regime]: Finding splitpoints for: (# # # #) 6.366 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 6.366 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 6.453 * * * * [regimes]: Trying to branch on y from (# # # #) 6.521 * * * * [regimes]: Trying to branch on x from (# # # #) 6.619 * * * [regime]: Found split indices: #