102.299 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.160 * * * [progress]: [2/2] Setting up program. 0.185 * [progress]: [Phase 2 of 3] Improving. 0.186 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.186 * * [simplify]: iteration 0: 9 enodes 0.190 * * [simplify]: iteration 1: 17 enodes 0.198 * * [simplify]: iteration 2: 34 enodes 0.215 * * [simplify]: iteration 3: 59 enodes 0.239 * * [simplify]: iteration 4: 100 enodes 0.287 * * [simplify]: iteration 5: 143 enodes 0.366 * * [simplify]: iteration 6: 168 enodes 0.689 * * [simplify]: iteration 7: 177 enodes 0.809 * * [simplify]: iteration complete: 177 enodes 0.809 * * [simplify]: Extracting #0: cost 1 inf + 0 0.809 * * [simplify]: Extracting #1: cost 6 inf + 0 0.809 * * [simplify]: Extracting #2: cost 36 inf + 0 0.810 * * [simplify]: Extracting #3: cost 32 inf + 44 0.810 * * [simplify]: Extracting #4: cost 24 inf + 576 0.812 * * [simplify]: Extracting #5: cost 6 inf + 4670 0.816 * * [simplify]: Extracting #6: cost 0 inf + 5968 0.820 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.821 * * [progress]: iteration 1 / 4 0.821 * * * [progress]: picking best candidate 0.827 * * * * [pick]: Picked # 0.827 * * * [progress]: localizing error 0.854 * * * [progress]: generating rewritten candidates 0.854 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.967 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.984 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.005 * * * [progress]: generating series expansions 1.006 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.006 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 1.006 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 1.006 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 1.006 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [backup-simplify]: Simplify x into x 1.006 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of 4.0 in y 1.006 * [backup-simplify]: Simplify 4.0 into 4.0 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.007 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.007 * [taylor]: Taking taylor expansion of x in y 1.007 * [backup-simplify]: Simplify x into x 1.007 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.007 * [taylor]: Taking taylor expansion of 4.0 in y 1.007 * [backup-simplify]: Simplify 4.0 into 4.0 1.007 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.007 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.007 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.008 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.008 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.008 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of 4.0 in x 1.008 * [backup-simplify]: Simplify 4.0 into 4.0 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [backup-simplify]: Simplify y into y 1.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.008 * [taylor]: Taking taylor expansion of 4.0 in x 1.008 * [backup-simplify]: Simplify 4.0 into 4.0 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [backup-simplify]: Simplify y into y 1.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.008 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.009 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.009 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.009 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.009 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.009 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 1.010 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 1.010 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of 4.0 in x 1.010 * [backup-simplify]: Simplify 4.0 into 4.0 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [backup-simplify]: Simplify y into y 1.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.010 * [taylor]: Taking taylor expansion of 4.0 in x 1.010 * [backup-simplify]: Simplify 4.0 into 4.0 1.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.010 * [taylor]: Taking taylor expansion of y in x 1.010 * [backup-simplify]: Simplify y into y 1.010 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.010 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.011 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.011 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.011 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.011 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 1.012 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 1.012 * [taylor]: Taking taylor expansion of -1.0 in y 1.012 * [backup-simplify]: Simplify -1.0 into -1.0 1.012 * [backup-simplify]: Simplify -1.0 into -1.0 1.012 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.013 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.013 * [backup-simplify]: Simplify (- 0) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.014 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 1.015 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 1 0) into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.020 * [backup-simplify]: Simplify (+ 1 0) into 1 1.021 * [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))) 1.021 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 1.021 * [taylor]: Taking taylor expansion of 0.5 in y 1.021 * [backup-simplify]: Simplify 0.5 into 0.5 1.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.031 * [backup-simplify]: Simplify (- 0) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [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 1.036 * [taylor]: Taking taylor expansion of 0 in y 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify -1.0 into -1.0 1.037 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 1.037 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.037 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.037 * [taylor]: Taking taylor expansion of x in y 1.037 * [backup-simplify]: Simplify x into x 1.037 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.037 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.037 * [taylor]: Taking taylor expansion of 4.0 in y 1.037 * [backup-simplify]: Simplify 4.0 into 4.0 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (* 1 1) into 1 1.039 * [backup-simplify]: Simplify (/ 1 1) into 1 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.039 * [taylor]: Taking taylor expansion of x in y 1.039 * [backup-simplify]: Simplify x into x 1.039 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.039 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.039 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.039 * [taylor]: Taking taylor expansion of 4.0 in y 1.039 * [backup-simplify]: Simplify 4.0 into 4.0 1.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.039 * [taylor]: Taking taylor expansion of y in y 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.041 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.042 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.042 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.043 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 1.044 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 1.044 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (/ 1 1) into 1 1.045 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.045 * [taylor]: Taking taylor expansion of 4.0 in x 1.045 * [backup-simplify]: Simplify 4.0 into 4.0 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.045 * [taylor]: Taking taylor expansion of y in x 1.045 * [backup-simplify]: Simplify y into y 1.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.047 * [taylor]: Taking taylor expansion of 4.0 in x 1.047 * [backup-simplify]: Simplify 4.0 into 4.0 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.047 * [backup-simplify]: Simplify y into y 1.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.047 * [backup-simplify]: Simplify (+ 1 0) into 1 1.048 * [backup-simplify]: Simplify (+ 1 0) into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (* 1 1) into 1 1.049 * [backup-simplify]: Simplify (/ 1 1) into 1 1.049 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of 4.0 in x 1.049 * [backup-simplify]: Simplify 4.0 into 4.0 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.049 * [backup-simplify]: Simplify y into y 1.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [backup-simplify]: Simplify (* 1 1) into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.051 * [taylor]: Taking taylor expansion of 4.0 in x 1.051 * [backup-simplify]: Simplify 4.0 into 4.0 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [backup-simplify]: Simplify y into y 1.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.052 * [backup-simplify]: Simplify (+ 1 0) into 1 1.052 * [backup-simplify]: Simplify (+ 1 0) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [taylor]: Taking taylor expansion of 1 in y 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.061 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.061 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.071 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 1.072 * [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)))) 1.072 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.072 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.072 * [taylor]: Taking taylor expansion of 8.0 in y 1.072 * [backup-simplify]: Simplify 8.0 into 8.0 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.078 * [backup-simplify]: Simplify (- 0) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.082 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [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 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 1.089 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 1.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 1.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.089 * [taylor]: Taking taylor expansion of x in y 1.089 * [backup-simplify]: Simplify x into x 1.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.089 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.089 * [taylor]: Taking taylor expansion of 4.0 in y 1.089 * [backup-simplify]: Simplify 4.0 into 4.0 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.089 * [taylor]: Taking taylor expansion of y in y 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* 1 1) into 1 1.090 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [backup-simplify]: Simplify x into x 1.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.091 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.091 * [taylor]: Taking taylor expansion of 4.0 in y 1.091 * [backup-simplify]: Simplify 4.0 into 4.0 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.093 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.094 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 1.094 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.095 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 1.096 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 1.096 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.096 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of 4.0 in x 1.097 * [backup-simplify]: Simplify 4.0 into 4.0 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.097 * [backup-simplify]: Simplify y into y 1.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.097 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (* 1 1) into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.098 * [taylor]: Taking taylor expansion of 4.0 in x 1.098 * [backup-simplify]: Simplify 4.0 into 4.0 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.098 * [taylor]: Taking taylor expansion of y in x 1.098 * [backup-simplify]: Simplify y into y 1.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.099 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 1.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.101 * [taylor]: Taking taylor expansion of 4.0 in x 1.101 * [backup-simplify]: Simplify 4.0 into 4.0 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [backup-simplify]: Simplify y into y 1.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* 1 1) into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.103 * [taylor]: Taking taylor expansion of 4.0 in x 1.103 * [backup-simplify]: Simplify 4.0 into 4.0 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.103 * [taylor]: Taking taylor expansion of y in x 1.103 * [backup-simplify]: Simplify y into y 1.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.103 * [backup-simplify]: Simplify (+ 1 0) into 1 1.104 * [backup-simplify]: Simplify (+ 1 0) into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [taylor]: Taking taylor expansion of 1 in y 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.112 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.112 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.115 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 1.116 * [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)))) 1.116 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 1.116 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 1.116 * [taylor]: Taking taylor expansion of 8.0 in y 1.116 * [backup-simplify]: Simplify 8.0 into 8.0 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (* 1 1) into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [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 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.133 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 1.133 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 1.133 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.133 * [taylor]: Taking taylor expansion of x in y 1.133 * [backup-simplify]: Simplify x into x 1.133 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of 4.0 in y 1.133 * [backup-simplify]: Simplify 4.0 into 4.0 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of 4.0 in x 1.134 * [backup-simplify]: Simplify 4.0 into 4.0 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.134 * [taylor]: Taking taylor expansion of 4.0 in x 1.134 * [backup-simplify]: Simplify 4.0 into 4.0 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.135 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.135 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 1.135 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 1.135 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 1.135 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of 4.0 in y 1.135 * [backup-simplify]: Simplify 4.0 into 4.0 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.137 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.137 * [backup-simplify]: Simplify (- 0) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (* 1 1) into 1 1.139 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.140 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ 1 0) into 1 1.140 * [taylor]: Taking taylor expansion of 1 in y 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.142 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.142 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.146 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.146 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in y 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.148 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.151 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 1.154 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.154 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.155 * [taylor]: Taking taylor expansion of x in y 1.155 * [backup-simplify]: Simplify x into x 1.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.155 * [taylor]: Taking taylor expansion of 4.0 in y 1.155 * [backup-simplify]: Simplify 4.0 into 4.0 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (* 1 1) into 1 1.156 * [backup-simplify]: Simplify (/ 1 1) into 1 1.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (* 1 1) into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.157 * [taylor]: Taking taylor expansion of 4.0 in x 1.157 * [backup-simplify]: Simplify 4.0 into 4.0 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.157 * [taylor]: Taking taylor expansion of y in x 1.157 * [backup-simplify]: Simplify y into y 1.157 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.157 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* 1 1) into 1 1.158 * [backup-simplify]: Simplify (/ 1 1) into 1 1.158 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.158 * [taylor]: Taking taylor expansion of 4.0 in x 1.158 * [backup-simplify]: Simplify 4.0 into 4.0 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [backup-simplify]: Simplify y into y 1.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.159 * [backup-simplify]: Simplify (+ 1 0) into 1 1.159 * [taylor]: Taking taylor expansion of 1 in y 1.159 * [backup-simplify]: Simplify 1 into 1 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.165 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.165 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.165 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.165 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.165 * [taylor]: Taking taylor expansion of 4.0 in y 1.165 * [backup-simplify]: Simplify 4.0 into 4.0 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.165 * [taylor]: Taking taylor expansion of y in y 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify 1 into 1 1.166 * [backup-simplify]: Simplify (* 1 1) into 1 1.166 * [backup-simplify]: Simplify (/ 1 1) into 1 1.167 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.167 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.168 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.168 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.171 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.172 * [backup-simplify]: Simplify (- 0) into 0 1.173 * [backup-simplify]: Simplify (+ 0 0) into 0 1.173 * [taylor]: Taking taylor expansion of 0 in y 1.173 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.181 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.182 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.187 * [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))) 1.187 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.187 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.188 * [taylor]: Taking taylor expansion of x in y 1.188 * [backup-simplify]: Simplify x into x 1.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.188 * [taylor]: Taking taylor expansion of 4.0 in y 1.188 * [backup-simplify]: Simplify 4.0 into 4.0 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.188 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (* 1 1) into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.190 * [taylor]: Taking taylor expansion of 4.0 in x 1.190 * [backup-simplify]: Simplify 4.0 into 4.0 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.190 * [taylor]: Taking taylor expansion of y in x 1.190 * [backup-simplify]: Simplify y into y 1.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.191 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.191 * [taylor]: Taking taylor expansion of x in x 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (* 1 1) into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.193 * [taylor]: Taking taylor expansion of 4.0 in x 1.193 * [backup-simplify]: Simplify 4.0 into 4.0 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.193 * [taylor]: Taking taylor expansion of y in x 1.193 * [backup-simplify]: Simplify y into y 1.193 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.194 * [taylor]: Taking taylor expansion of 1 in y 1.194 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.196 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.199 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.200 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 1.200 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 1.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.200 * [taylor]: Taking taylor expansion of 4.0 in y 1.200 * [backup-simplify]: Simplify 4.0 into 4.0 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.200 * [taylor]: Taking taylor expansion of y in y 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (* 1 1) into 1 1.201 * [backup-simplify]: Simplify (/ 1 1) into 1 1.201 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.201 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.202 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 1.202 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.205 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.206 * [taylor]: Taking taylor expansion of 0 in y 1.206 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.212 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.217 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 0 into 0 1.219 * [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))) 1.219 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.219 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 1.219 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 1.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.219 * [taylor]: Taking taylor expansion of x in y 1.219 * [backup-simplify]: Simplify x into x 1.219 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.219 * [taylor]: Taking taylor expansion of 4.0 in y 1.219 * [backup-simplify]: Simplify 4.0 into 4.0 1.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.219 * [taylor]: Taking taylor expansion of y in y 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.219 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.219 * [taylor]: Taking taylor expansion of 4.0 in x 1.220 * [backup-simplify]: Simplify 4.0 into 4.0 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [backup-simplify]: Simplify y into y 1.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 1.220 * [taylor]: Taking taylor expansion of 4.0 in x 1.220 * [backup-simplify]: Simplify 4.0 into 4.0 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [backup-simplify]: Simplify y into y 1.220 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.220 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 1.220 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 1.221 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of 4.0 in y 1.221 * [backup-simplify]: Simplify 4.0 into 4.0 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.222 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [taylor]: Taking taylor expansion of 0 in y 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify (* 1 1) into 1 1.223 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.224 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.225 * [backup-simplify]: Simplify (+ 1 0) into 1 1.225 * [taylor]: Taking taylor expansion of 1 in y 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.226 * [backup-simplify]: Simplify 4.0 into 4.0 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.229 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [taylor]: Taking taylor expansion of 0 in y 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.231 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.235 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [taylor]: Taking taylor expansion of 0 in y 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 1.236 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.236 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.236 * [taylor]: Taking taylor expansion of x in y 1.236 * [backup-simplify]: Simplify x into x 1.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.237 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.237 * [taylor]: Taking taylor expansion of 4.0 in y 1.237 * [backup-simplify]: Simplify 4.0 into 4.0 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.240 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.240 * [taylor]: Taking taylor expansion of 4.0 in x 1.240 * [backup-simplify]: Simplify 4.0 into 4.0 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [backup-simplify]: Simplify y into y 1.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (* 1 1) into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.241 * [taylor]: Taking taylor expansion of 4.0 in x 1.241 * [backup-simplify]: Simplify 4.0 into 4.0 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.242 * [taylor]: Taking taylor expansion of y in x 1.242 * [backup-simplify]: Simplify y into y 1.242 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.242 * [backup-simplify]: Simplify (+ 1 0) into 1 1.242 * [taylor]: Taking taylor expansion of 1 in y 1.242 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.483 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 1.483 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.483 * [taylor]: Taking taylor expansion of 4.0 in y 1.483 * [backup-simplify]: Simplify 4.0 into 4.0 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.485 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.485 * [backup-simplify]: Simplify 4.0 into 4.0 1.487 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [taylor]: Taking taylor expansion of 0 in y 1.492 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [taylor]: Taking taylor expansion of 0 in y 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [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))) 1.503 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 1.503 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.508 * [taylor]: Taking taylor expansion of x in y 1.508 * [backup-simplify]: Simplify x into x 1.508 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.509 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.509 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.509 * [taylor]: Taking taylor expansion of 4.0 in y 1.509 * [backup-simplify]: Simplify 4.0 into 4.0 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.509 * [taylor]: Taking taylor expansion of y in y 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.510 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.511 * [taylor]: Taking taylor expansion of 4.0 in x 1.511 * [backup-simplify]: Simplify 4.0 into 4.0 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.511 * [taylor]: Taking taylor expansion of y in x 1.511 * [backup-simplify]: Simplify y into y 1.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.512 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 1.513 * [taylor]: Taking taylor expansion of 4.0 in x 1.513 * [backup-simplify]: Simplify 4.0 into 4.0 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.513 * [backup-simplify]: Simplify y into y 1.513 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.514 * [backup-simplify]: Simplify (+ 1 0) into 1 1.514 * [taylor]: Taking taylor expansion of 1 in y 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 1.518 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 1.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 1.518 * [taylor]: Taking taylor expansion of 4.0 in y 1.518 * [backup-simplify]: Simplify 4.0 into 4.0 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.518 * [taylor]: Taking taylor expansion of y in y 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.519 * [backup-simplify]: Simplify 4.0 into 4.0 1.519 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.537 * [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))) 1.537 * * * [progress]: simplifying candidates 1.539 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) (* (exp (* x x)) (exp (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))) (exp (+ (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (+ (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))) 1.542 * * [simplify]: iteration 0: 87 enodes 1.586 * * [simplify]: iteration 1: 246 enodes 1.755 * * [simplify]: iteration 2: 854 enodes 4.627 * * [simplify]: iteration 3: 4264 enodes 13.712 * * [simplify]: iteration complete: 5056 enodes 13.712 * * [simplify]: Extracting #0: cost 56 inf + 0 13.714 * * [simplify]: Extracting #1: cost 424 inf + 2 13.722 * * [simplify]: Extracting #2: cost 1556 inf + 537 13.751 * * [simplify]: Extracting #3: cost 1443 inf + 49589 13.853 * * [simplify]: Extracting #4: cost 484 inf + 280776 14.038 * * [simplify]: Extracting #5: cost 31 inf + 417797 14.380 * * [simplify]: Extracting #6: cost 0 inf + 428023 14.790 * [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))))) (* (* (/ (- (* 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)))) (- (* (* y (- 4.0)) y) (* x x)) (/ (* 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))))) (/ (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))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y (* y 4.0)) (* (* 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))))) (* (+ (* (* x x) (* 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)))) (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)))) (* (* (- (* 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)))) (- (* (* (* x x) x) (* (* x x) x)) (* (* y (* y 4.0)) (* (* y (* y 4.0)) (* y (* y 4.0))))) (+ (* (* x x) (* x x)) (* (* y (* y 4.0)) (+ (* x x) (* y (* y 4.0))))) (* (* y (- 4.0)) y) (* (+ (* y (* y 4.0)) (* x x)) (- (* x x) (* y (* y 4.0)))) (+ (* x x) (* y (* y 4.0))) (* (* y (- 4.0)) y) (exp (+ (* y (* y 4.0)) (* x x))) (log (+ (* x x) (* y (* y 4.0)))) (exp (+ (* y (* y 4.0)) (* x x))) (* (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)))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y (* y 4.0)) (* (* y (* y 4.0)) (* y (* y 4.0))))) (+ (* (* x x) (* x x)) (* (- (* y (* y 4.0)) (* x x)) (* y (* y 4.0)))) (* (+ (* y (* y 4.0)) (* x x)) (- (* 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))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 14.802 * * * [progress]: adding candidates to table 15.949 * * [progress]: iteration 2 / 4 15.963 * * * [progress]: picking best candidate 16.020 * * * * [pick]: Picked # 16.028 * * * [progress]: localizing error 16.232 * * * [progress]: generating rewritten candidates 16.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 16.339 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 16.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 16.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 16.667 * * * [progress]: generating series expansions 16.667 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 16.668 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 16.668 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 16.668 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 16.668 * [taylor]: Taking taylor expansion of 4.0 in x 16.668 * [backup-simplify]: Simplify 4.0 into 4.0 16.668 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 16.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.668 * [taylor]: Taking taylor expansion of y in x 16.668 * [backup-simplify]: Simplify y into y 16.668 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 16.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.668 * [taylor]: Taking taylor expansion of x in x 16.668 * [backup-simplify]: Simplify 0 into 0 16.668 * [backup-simplify]: Simplify 1 into 1 16.668 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 16.669 * [taylor]: Taking taylor expansion of 4.0 in x 16.669 * [backup-simplify]: Simplify 4.0 into 4.0 16.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.669 * [taylor]: Taking taylor expansion of y in x 16.669 * [backup-simplify]: Simplify y into y 16.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.669 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 16.669 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 16.669 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 16.669 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 16.669 * [taylor]: Taking taylor expansion of 4.0 in y 16.670 * [backup-simplify]: Simplify 4.0 into 4.0 16.670 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 16.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.670 * [taylor]: Taking taylor expansion of y in y 16.670 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify 1 into 1 16.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 16.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.670 * [taylor]: Taking taylor expansion of x in y 16.670 * [backup-simplify]: Simplify x into x 16.670 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 16.670 * [taylor]: Taking taylor expansion of 4.0 in y 16.670 * [backup-simplify]: Simplify 4.0 into 4.0 16.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.670 * [taylor]: Taking taylor expansion of y in y 16.670 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify 1 into 1 16.674 * [backup-simplify]: Simplify (* 1 1) into 1 16.674 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.674 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 16.674 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.674 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 16.674 * [taylor]: Taking taylor expansion of 4.0 in y 16.674 * [backup-simplify]: Simplify 4.0 into 4.0 16.674 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 16.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.675 * [taylor]: Taking taylor expansion of y in y 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 16.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.675 * [taylor]: Taking taylor expansion of x in y 16.675 * [backup-simplify]: Simplify x into x 16.675 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 16.675 * [taylor]: Taking taylor expansion of 4.0 in y 16.675 * [backup-simplify]: Simplify 4.0 into 4.0 16.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.675 * [taylor]: Taking taylor expansion of y in y 16.675 * [backup-simplify]: Simplify 0 into 0 16.675 * [backup-simplify]: Simplify 1 into 1 16.676 * [backup-simplify]: Simplify (* 1 1) into 1 16.676 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.676 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 16.676 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.677 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 16.677 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 16.677 * [taylor]: Taking taylor expansion of 4.0 in x 16.677 * [backup-simplify]: Simplify 4.0 into 4.0 16.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.677 * [taylor]: Taking taylor expansion of x in x 16.677 * [backup-simplify]: Simplify 0 into 0 16.677 * [backup-simplify]: Simplify 1 into 1 16.677 * [backup-simplify]: Simplify (* 1 1) into 1 16.678 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 16.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 16.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.681 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.682 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 16.682 * [backup-simplify]: Simplify (+ 0 0) into 0 16.683 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 16.684 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 16.684 * [taylor]: Taking taylor expansion of 0 in x 16.684 * [backup-simplify]: Simplify 0 into 0 16.684 * [backup-simplify]: Simplify 0 into 0 16.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.686 * [backup-simplify]: Simplify 0 into 0 16.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.688 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 16.688 * [backup-simplify]: Simplify (* 1 1) into 1 16.689 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.689 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.690 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 16.690 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 16.691 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 16.691 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 16.691 * [taylor]: Taking taylor expansion of 16.0 in x 16.691 * [backup-simplify]: Simplify 16.0 into 16.0 16.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 16.691 * [taylor]: Taking taylor expansion of (pow x 4) in x 16.691 * [taylor]: Taking taylor expansion of x in x 16.691 * [backup-simplify]: Simplify 0 into 0 16.691 * [backup-simplify]: Simplify 1 into 1 16.691 * [backup-simplify]: Simplify (* 1 1) into 1 16.692 * [backup-simplify]: Simplify (* 1 1) into 1 16.692 * [backup-simplify]: Simplify (/ 1 1) into 1 16.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.712 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.713 * [backup-simplify]: Simplify (- 0) into 0 16.713 * [backup-simplify]: Simplify 0 into 0 16.713 * [backup-simplify]: Simplify 0 into 0 16.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 16.716 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 16.716 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 16.716 * [taylor]: Taking taylor expansion of 4.0 in x 16.716 * [backup-simplify]: Simplify 4.0 into 4.0 16.716 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 16.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 16.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.717 * [taylor]: Taking taylor expansion of x in x 16.717 * [backup-simplify]: Simplify 0 into 0 16.717 * [backup-simplify]: Simplify 1 into 1 16.717 * [backup-simplify]: Simplify (* 1 1) into 1 16.717 * [backup-simplify]: Simplify (/ 1 1) into 1 16.717 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 16.717 * [taylor]: Taking taylor expansion of 4.0 in x 16.718 * [backup-simplify]: Simplify 4.0 into 4.0 16.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 16.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.718 * [taylor]: Taking taylor expansion of y in x 16.718 * [backup-simplify]: Simplify y into y 16.718 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 16.718 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.718 * [taylor]: Taking taylor expansion of y in x 16.718 * [backup-simplify]: Simplify y into y 16.718 * [backup-simplify]: Simplify (+ 1 0) into 1 16.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.719 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 16.719 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 16.719 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 16.719 * [taylor]: Taking taylor expansion of 4.0 in y 16.719 * [backup-simplify]: Simplify 4.0 into 4.0 16.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 16.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 16.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 16.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.719 * [taylor]: Taking taylor expansion of x in y 16.719 * [backup-simplify]: Simplify x into x 16.719 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.719 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.719 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 16.719 * [taylor]: Taking taylor expansion of 4.0 in y 16.719 * [backup-simplify]: Simplify 4.0 into 4.0 16.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 16.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.719 * [taylor]: Taking taylor expansion of y in y 16.719 * [backup-simplify]: Simplify 0 into 0 16.720 * [backup-simplify]: Simplify 1 into 1 16.720 * [backup-simplify]: Simplify (* 1 1) into 1 16.720 * [backup-simplify]: Simplify (/ 1 1) into 1 16.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.720 * [taylor]: Taking taylor expansion of y in y 16.720 * [backup-simplify]: Simplify 0 into 0 16.720 * [backup-simplify]: Simplify 1 into 1 16.721 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.721 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.721 * [backup-simplify]: Simplify (* 1 1) into 1 16.722 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.722 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 16.722 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 16.722 * [taylor]: Taking taylor expansion of 4.0 in y 16.722 * [backup-simplify]: Simplify 4.0 into 4.0 16.722 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 16.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 16.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 16.722 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.723 * [taylor]: Taking taylor expansion of x in y 16.723 * [backup-simplify]: Simplify x into x 16.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.723 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.723 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 16.723 * [taylor]: Taking taylor expansion of 4.0 in y 16.723 * [backup-simplify]: Simplify 4.0 into 4.0 16.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 16.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.723 * [taylor]: Taking taylor expansion of y in y 16.723 * [backup-simplify]: Simplify 0 into 0 16.723 * [backup-simplify]: Simplify 1 into 1 16.723 * [backup-simplify]: Simplify (* 1 1) into 1 16.724 * [backup-simplify]: Simplify (/ 1 1) into 1 16.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.724 * [taylor]: Taking taylor expansion of y in y 16.724 * [backup-simplify]: Simplify 0 into 0 16.724 * [backup-simplify]: Simplify 1 into 1 16.724 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.725 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.725 * [backup-simplify]: Simplify (* 1 1) into 1 16.726 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.726 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 16.726 * [taylor]: Taking taylor expansion of 1.0 in x 16.726 * [backup-simplify]: Simplify 1.0 into 1.0 16.726 * [backup-simplify]: Simplify 0 into 0 16.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.728 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 16.728 * [backup-simplify]: Simplify (+ 0 0) into 0 16.728 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 16.729 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 16.729 * [taylor]: Taking taylor expansion of 0 in x 16.729 * [backup-simplify]: Simplify 0 into 0 16.729 * [backup-simplify]: Simplify 0 into 0 16.729 * [backup-simplify]: Simplify 0 into 0 16.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.738 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 16.738 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 16.739 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 16.740 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 16.740 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 16.740 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 16.740 * [taylor]: Taking taylor expansion of 0.25 in x 16.740 * [backup-simplify]: Simplify 0.25 into 0.25 16.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.740 * [taylor]: Taking taylor expansion of x in x 16.740 * [backup-simplify]: Simplify 0 into 0 16.740 * [backup-simplify]: Simplify 1 into 1 16.741 * [backup-simplify]: Simplify (* 1 1) into 1 16.741 * [backup-simplify]: Simplify (/ 1 1) into 1 16.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.749 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.749 * [backup-simplify]: Simplify (- 0) into 0 16.749 * [backup-simplify]: Simplify 0 into 0 16.749 * [backup-simplify]: Simplify 0 into 0 16.749 * [backup-simplify]: Simplify 0 into 0 16.749 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 16.750 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 16.750 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 16.750 * [taylor]: Taking taylor expansion of 4.0 in x 16.750 * [backup-simplify]: Simplify 4.0 into 4.0 16.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 16.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 16.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.752 * [taylor]: Taking taylor expansion of x in x 16.752 * [backup-simplify]: Simplify 0 into 0 16.752 * [backup-simplify]: Simplify 1 into 1 16.753 * [backup-simplify]: Simplify (* 1 1) into 1 16.754 * [backup-simplify]: Simplify (/ 1 1) into 1 16.754 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 16.754 * [taylor]: Taking taylor expansion of 4.0 in x 16.754 * [backup-simplify]: Simplify 4.0 into 4.0 16.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 16.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.754 * [taylor]: Taking taylor expansion of y in x 16.754 * [backup-simplify]: Simplify y into y 16.755 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.755 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 16.755 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.755 * [taylor]: Taking taylor expansion of y in x 16.755 * [backup-simplify]: Simplify y into y 16.756 * [backup-simplify]: Simplify (+ 1 0) into 1 16.756 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.756 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 16.757 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 16.757 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 16.757 * [taylor]: Taking taylor expansion of 4.0 in y 16.757 * [backup-simplify]: Simplify 4.0 into 4.0 16.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 16.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 16.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 16.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.757 * [taylor]: Taking taylor expansion of x in y 16.757 * [backup-simplify]: Simplify x into x 16.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.757 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.757 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 16.757 * [taylor]: Taking taylor expansion of 4.0 in y 16.757 * [backup-simplify]: Simplify 4.0 into 4.0 16.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 16.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.757 * [taylor]: Taking taylor expansion of y in y 16.757 * [backup-simplify]: Simplify 0 into 0 16.757 * [backup-simplify]: Simplify 1 into 1 16.758 * [backup-simplify]: Simplify (* 1 1) into 1 16.758 * [backup-simplify]: Simplify (/ 1 1) into 1 16.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.758 * [taylor]: Taking taylor expansion of y in y 16.758 * [backup-simplify]: Simplify 0 into 0 16.759 * [backup-simplify]: Simplify 1 into 1 16.759 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.759 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.760 * [backup-simplify]: Simplify (* 1 1) into 1 16.760 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.761 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 16.761 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 16.761 * [taylor]: Taking taylor expansion of 4.0 in y 16.761 * [backup-simplify]: Simplify 4.0 into 4.0 16.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 16.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 16.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 16.761 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.761 * [taylor]: Taking taylor expansion of x in y 16.761 * [backup-simplify]: Simplify x into x 16.761 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.761 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 16.761 * [taylor]: Taking taylor expansion of 4.0 in y 16.761 * [backup-simplify]: Simplify 4.0 into 4.0 16.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 16.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.761 * [taylor]: Taking taylor expansion of y in y 16.761 * [backup-simplify]: Simplify 0 into 0 16.761 * [backup-simplify]: Simplify 1 into 1 16.762 * [backup-simplify]: Simplify (* 1 1) into 1 16.763 * [backup-simplify]: Simplify (/ 1 1) into 1 16.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.763 * [taylor]: Taking taylor expansion of y in y 16.763 * [backup-simplify]: Simplify 0 into 0 16.763 * [backup-simplify]: Simplify 1 into 1 16.764 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.764 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.764 * [backup-simplify]: Simplify (* 1 1) into 1 16.765 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.765 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 16.765 * [taylor]: Taking taylor expansion of 1.0 in x 16.765 * [backup-simplify]: Simplify 1.0 into 1.0 16.765 * [backup-simplify]: Simplify 0 into 0 16.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.769 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 16.770 * [backup-simplify]: Simplify (+ 0 0) into 0 16.771 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 16.772 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 16.772 * [taylor]: Taking taylor expansion of 0 in x 16.772 * [backup-simplify]: Simplify 0 into 0 16.772 * [backup-simplify]: Simplify 0 into 0 16.772 * [backup-simplify]: Simplify 0 into 0 16.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.776 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 16.777 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 16.778 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 16.780 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 16.780 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 16.780 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 16.780 * [taylor]: Taking taylor expansion of 0.25 in x 16.780 * [backup-simplify]: Simplify 0.25 into 0.25 16.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.780 * [taylor]: Taking taylor expansion of x in x 16.780 * [backup-simplify]: Simplify 0 into 0 16.780 * [backup-simplify]: Simplify 1 into 1 16.780 * [backup-simplify]: Simplify (* 1 1) into 1 16.781 * [backup-simplify]: Simplify (/ 1 1) into 1 16.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.795 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.795 * [backup-simplify]: Simplify (- 0) into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.796 * [backup-simplify]: Simplify 0 into 0 16.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 16.796 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 16.796 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 16.796 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 16.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.796 * [taylor]: Taking taylor expansion of x in y 16.796 * [backup-simplify]: Simplify x into x 16.796 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 16.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.796 * [taylor]: Taking taylor expansion of x in y 16.796 * [backup-simplify]: Simplify x into x 16.797 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 16.797 * [taylor]: Taking taylor expansion of 4.0 in y 16.797 * [backup-simplify]: Simplify 4.0 into 4.0 16.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.797 * [taylor]: Taking taylor expansion of y in y 16.797 * [backup-simplify]: Simplify 0 into 0 16.797 * [backup-simplify]: Simplify 1 into 1 16.797 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.797 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.797 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 16.798 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 16.798 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 16.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.798 * [taylor]: Taking taylor expansion of x in x 16.798 * [backup-simplify]: Simplify 0 into 0 16.798 * [backup-simplify]: Simplify 1 into 1 16.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 16.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.798 * [taylor]: Taking taylor expansion of x in x 16.798 * [backup-simplify]: Simplify 0 into 0 16.798 * [backup-simplify]: Simplify 1 into 1 16.798 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 16.798 * [taylor]: Taking taylor expansion of 4.0 in x 16.798 * [backup-simplify]: Simplify 4.0 into 4.0 16.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.798 * [taylor]: Taking taylor expansion of y in x 16.798 * [backup-simplify]: Simplify y into y 16.807 * [backup-simplify]: Simplify (* 1 1) into 1 16.807 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.807 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 16.807 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 16.808 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 16.808 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 16.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.808 * [taylor]: Taking taylor expansion of x in x 16.808 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify 1 into 1 16.808 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 16.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.808 * [taylor]: Taking taylor expansion of x in x 16.808 * [backup-simplify]: Simplify 0 into 0 16.808 * [backup-simplify]: Simplify 1 into 1 16.808 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 16.808 * [taylor]: Taking taylor expansion of 4.0 in x 16.808 * [backup-simplify]: Simplify 4.0 into 4.0 16.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.808 * [taylor]: Taking taylor expansion of y in x 16.808 * [backup-simplify]: Simplify y into y 16.809 * [backup-simplify]: Simplify (* 1 1) into 1 16.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.809 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 16.809 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 16.809 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 16.809 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 16.809 * [taylor]: Taking taylor expansion of 0.25 in y 16.809 * [backup-simplify]: Simplify 0.25 into 0.25 16.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.809 * [taylor]: Taking taylor expansion of y in y 16.809 * [backup-simplify]: Simplify 0 into 0 16.809 * [backup-simplify]: Simplify 1 into 1 16.810 * [backup-simplify]: Simplify (* 1 1) into 1 16.810 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 16.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 16.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.814 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 16.824 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 16.824 * [backup-simplify]: Simplify (+ 0 0) into 0 16.825 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 16.825 * [taylor]: Taking taylor expansion of 0 in y 16.825 * [backup-simplify]: Simplify 0 into 0 16.825 * [backup-simplify]: Simplify 0 into 0 16.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.827 * [backup-simplify]: Simplify 0 into 0 16.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.828 * [backup-simplify]: Simplify (* 1 1) into 1 16.829 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 16.830 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 16.830 * [backup-simplify]: Simplify (+ 1 0) into 1 16.836 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 16.836 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 16.836 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 16.836 * [taylor]: Taking taylor expansion of 0.0625 in y 16.836 * [backup-simplify]: Simplify 0.0625 into 0.0625 16.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 16.836 * [taylor]: Taking taylor expansion of (pow y 4) in y 16.836 * [taylor]: Taking taylor expansion of y in y 16.836 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify 1 into 1 16.837 * [backup-simplify]: Simplify (* 1 1) into 1 16.837 * [backup-simplify]: Simplify (* 1 1) into 1 16.838 * [backup-simplify]: Simplify (/ 1 1) into 1 16.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.964 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.965 * [backup-simplify]: Simplify (- 0) into 0 16.965 * [backup-simplify]: Simplify 0 into 0 16.965 * [backup-simplify]: Simplify 0 into 0 16.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 16.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.967 * [backup-simplify]: Simplify 0 into 0 16.967 * [backup-simplify]: Simplify 0 into 0 16.970 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 16.970 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 16.970 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 16.970 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 16.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.970 * [taylor]: Taking taylor expansion of x in y 16.970 * [backup-simplify]: Simplify x into x 16.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 16.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 16.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 16.971 * [taylor]: Taking taylor expansion of x in y 16.971 * [backup-simplify]: Simplify x into x 16.971 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 16.971 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 16.971 * [taylor]: Taking taylor expansion of 4.0 in y 16.971 * [backup-simplify]: Simplify 4.0 into 4.0 16.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 16.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 16.972 * [taylor]: Taking taylor expansion of y in y 16.972 * [backup-simplify]: Simplify 0 into 0 16.972 * [backup-simplify]: Simplify 1 into 1 16.972 * [backup-simplify]: Simplify (* 1 1) into 1 16.973 * [backup-simplify]: Simplify (/ 1 1) into 1 16.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 16.973 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 16.974 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 16.974 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 16.974 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 16.974 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 16.974 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 16.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.974 * [taylor]: Taking taylor expansion of x in x 16.974 * [backup-simplify]: Simplify 0 into 0 16.975 * [backup-simplify]: Simplify 1 into 1 16.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 16.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.982 * [taylor]: Taking taylor expansion of x in x 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 1 into 1 16.982 * [backup-simplify]: Simplify (* 1 1) into 1 16.983 * [backup-simplify]: Simplify (/ 1 1) into 1 16.983 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 16.983 * [taylor]: Taking taylor expansion of 4.0 in x 16.983 * [backup-simplify]: Simplify 4.0 into 4.0 16.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 16.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.983 * [taylor]: Taking taylor expansion of y in x 16.983 * [backup-simplify]: Simplify y into y 16.983 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 16.984 * [backup-simplify]: Simplify (* 1 1) into 1 16.984 * [backup-simplify]: Simplify (+ 1 0) into 1 16.985 * [backup-simplify]: Simplify (* 1 1) into 1 16.985 * [backup-simplify]: Simplify (/ 1 1) into 1 16.985 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 16.985 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 16.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.985 * [taylor]: Taking taylor expansion of x in x 16.985 * [backup-simplify]: Simplify 0 into 0 16.985 * [backup-simplify]: Simplify 1 into 1 16.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 16.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 16.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 16.985 * [taylor]: Taking taylor expansion of x in x 16.985 * [backup-simplify]: Simplify 0 into 0 16.985 * [backup-simplify]: Simplify 1 into 1 16.986 * [backup-simplify]: Simplify (* 1 1) into 1 16.986 * [backup-simplify]: Simplify (/ 1 1) into 1 16.986 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 16.986 * [taylor]: Taking taylor expansion of 4.0 in x 16.986 * [backup-simplify]: Simplify 4.0 into 4.0 16.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 16.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 16.986 * [taylor]: Taking taylor expansion of y in x 16.986 * [backup-simplify]: Simplify y into y 16.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 16.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 16.987 * [backup-simplify]: Simplify (* 1 1) into 1 16.988 * [backup-simplify]: Simplify (+ 1 0) into 1 16.988 * [backup-simplify]: Simplify (* 1 1) into 1 16.988 * [backup-simplify]: Simplify (/ 1 1) into 1 16.988 * [taylor]: Taking taylor expansion of 1 in y 16.989 * [backup-simplify]: Simplify 1 into 1 16.989 * [backup-simplify]: Simplify 0 into 0 16.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.991 * [backup-simplify]: Simplify (+ 0 0) into 0 16.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.995 * [taylor]: Taking taylor expansion of 0 in y 16.995 * [backup-simplify]: Simplify 0 into 0 16.995 * [backup-simplify]: Simplify 0 into 0 16.996 * [backup-simplify]: Simplify 0 into 0 16.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.999 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.000 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.008 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 17.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.010 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 17.010 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.010 * [taylor]: Taking taylor expansion of 4.0 in y 17.010 * [backup-simplify]: Simplify 4.0 into 4.0 17.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.010 * [taylor]: Taking taylor expansion of y in y 17.010 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify 1 into 1 17.017 * [backup-simplify]: Simplify (* 1 1) into 1 17.017 * [backup-simplify]: Simplify (/ 1 1) into 1 17.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.027 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.028 * [backup-simplify]: Simplify (- 0) into 0 17.028 * [backup-simplify]: Simplify 0 into 0 17.028 * [backup-simplify]: Simplify 0 into 0 17.028 * [backup-simplify]: Simplify 0 into 0 17.028 * [backup-simplify]: Simplify 0 into 0 17.028 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 17.028 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 17.028 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 17.028 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 17.028 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.028 * [taylor]: Taking taylor expansion of x in y 17.029 * [backup-simplify]: Simplify x into x 17.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.029 * [taylor]: Taking taylor expansion of x in y 17.029 * [backup-simplify]: Simplify x into x 17.029 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.029 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.029 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.029 * [taylor]: Taking taylor expansion of 4.0 in y 17.029 * [backup-simplify]: Simplify 4.0 into 4.0 17.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.029 * [taylor]: Taking taylor expansion of y in y 17.029 * [backup-simplify]: Simplify 0 into 0 17.029 * [backup-simplify]: Simplify 1 into 1 17.030 * [backup-simplify]: Simplify (* 1 1) into 1 17.030 * [backup-simplify]: Simplify (/ 1 1) into 1 17.030 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.030 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.031 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 17.031 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 17.031 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 17.031 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.031 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.031 * [taylor]: Taking taylor expansion of x in x 17.031 * [backup-simplify]: Simplify 0 into 0 17.031 * [backup-simplify]: Simplify 1 into 1 17.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.031 * [taylor]: Taking taylor expansion of x in x 17.032 * [backup-simplify]: Simplify 0 into 0 17.032 * [backup-simplify]: Simplify 1 into 1 17.032 * [backup-simplify]: Simplify (* 1 1) into 1 17.032 * [backup-simplify]: Simplify (/ 1 1) into 1 17.032 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.032 * [taylor]: Taking taylor expansion of 4.0 in x 17.032 * [backup-simplify]: Simplify 4.0 into 4.0 17.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.032 * [taylor]: Taking taylor expansion of y in x 17.032 * [backup-simplify]: Simplify y into y 17.032 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.033 * [backup-simplify]: Simplify (* 1 1) into 1 17.033 * [backup-simplify]: Simplify (+ 1 0) into 1 17.034 * [backup-simplify]: Simplify (* 1 1) into 1 17.034 * [backup-simplify]: Simplify (/ 1 1) into 1 17.034 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.034 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.034 * [taylor]: Taking taylor expansion of x in x 17.034 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify 1 into 1 17.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.034 * [taylor]: Taking taylor expansion of x in x 17.034 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify 1 into 1 17.035 * [backup-simplify]: Simplify (* 1 1) into 1 17.035 * [backup-simplify]: Simplify (/ 1 1) into 1 17.035 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.035 * [taylor]: Taking taylor expansion of 4.0 in x 17.035 * [backup-simplify]: Simplify 4.0 into 4.0 17.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.035 * [taylor]: Taking taylor expansion of y in x 17.035 * [backup-simplify]: Simplify y into y 17.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.036 * [backup-simplify]: Simplify (* 1 1) into 1 17.037 * [backup-simplify]: Simplify (+ 1 0) into 1 17.037 * [backup-simplify]: Simplify (* 1 1) into 1 17.037 * [backup-simplify]: Simplify (/ 1 1) into 1 17.038 * [taylor]: Taking taylor expansion of 1 in y 17.038 * [backup-simplify]: Simplify 1 into 1 17.038 * [backup-simplify]: Simplify 0 into 0 17.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.039 * [backup-simplify]: Simplify (+ 0 0) into 0 17.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.041 * [taylor]: Taking taylor expansion of 0 in y 17.041 * [backup-simplify]: Simplify 0 into 0 17.041 * [backup-simplify]: Simplify 0 into 0 17.041 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.043 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.043 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.045 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 17.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.047 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 17.047 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.047 * [taylor]: Taking taylor expansion of 4.0 in y 17.047 * [backup-simplify]: Simplify 4.0 into 4.0 17.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.047 * [taylor]: Taking taylor expansion of y in y 17.047 * [backup-simplify]: Simplify 0 into 0 17.047 * [backup-simplify]: Simplify 1 into 1 17.048 * [backup-simplify]: Simplify (* 1 1) into 1 17.048 * [backup-simplify]: Simplify (/ 1 1) into 1 17.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.058 * [backup-simplify]: Simplify (- 0) into 0 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * * * * [progress]: [ 3 / 4 ] generating series at (2) 17.059 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) 17.059 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 17.059 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 17.059 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 17.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.059 * [taylor]: Taking taylor expansion of x in y 17.059 * [backup-simplify]: Simplify x into x 17.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 17.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.059 * [taylor]: Taking taylor expansion of x in y 17.059 * [backup-simplify]: Simplify x into x 17.059 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 17.059 * [taylor]: Taking taylor expansion of 4.0 in y 17.060 * [backup-simplify]: Simplify 4.0 into 4.0 17.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.060 * [taylor]: Taking taylor expansion of y in y 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify 1 into 1 17.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.060 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 17.060 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 17.060 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 17.060 * [taylor]: Taking taylor expansion of 4.0 in y 17.060 * [backup-simplify]: Simplify 4.0 into 4.0 17.060 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 17.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.060 * [taylor]: Taking taylor expansion of y in y 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify 1 into 1 17.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 17.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.061 * [taylor]: Taking taylor expansion of x in y 17.061 * [backup-simplify]: Simplify x into x 17.061 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 17.061 * [taylor]: Taking taylor expansion of 4.0 in y 17.061 * [backup-simplify]: Simplify 4.0 into 4.0 17.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.061 * [taylor]: Taking taylor expansion of y in y 17.061 * [backup-simplify]: Simplify 0 into 0 17.061 * [backup-simplify]: Simplify 1 into 1 17.061 * [backup-simplify]: Simplify (* 1 1) into 1 17.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.062 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 17.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.062 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 17.062 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 17.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.062 * [taylor]: Taking taylor expansion of x in x 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify 1 into 1 17.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.062 * [taylor]: Taking taylor expansion of x in x 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify 1 into 1 17.062 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.062 * [taylor]: Taking taylor expansion of 4.0 in x 17.062 * [backup-simplify]: Simplify 4.0 into 4.0 17.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.062 * [taylor]: Taking taylor expansion of y in x 17.062 * [backup-simplify]: Simplify y into y 17.063 * [backup-simplify]: Simplify (* 1 1) into 1 17.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.063 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 17.063 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 17.063 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 17.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 17.063 * [taylor]: Taking taylor expansion of 4.0 in x 17.064 * [backup-simplify]: Simplify 4.0 into 4.0 17.064 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 17.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.064 * [taylor]: Taking taylor expansion of y in x 17.064 * [backup-simplify]: Simplify y into y 17.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.064 * [taylor]: Taking taylor expansion of x in x 17.064 * [backup-simplify]: Simplify 0 into 0 17.064 * [backup-simplify]: Simplify 1 into 1 17.064 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.064 * [taylor]: Taking taylor expansion of 4.0 in x 17.064 * [backup-simplify]: Simplify 4.0 into 4.0 17.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.064 * [taylor]: Taking taylor expansion of y in x 17.064 * [backup-simplify]: Simplify y into y 17.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.064 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 17.065 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 17.065 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 17.065 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 17.065 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 17.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.065 * [taylor]: Taking taylor expansion of x in x 17.065 * [backup-simplify]: Simplify 0 into 0 17.065 * [backup-simplify]: Simplify 1 into 1 17.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.065 * [taylor]: Taking taylor expansion of x in x 17.065 * [backup-simplify]: Simplify 0 into 0 17.065 * [backup-simplify]: Simplify 1 into 1 17.065 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.065 * [taylor]: Taking taylor expansion of 4.0 in x 17.065 * [backup-simplify]: Simplify 4.0 into 4.0 17.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.065 * [taylor]: Taking taylor expansion of y in x 17.065 * [backup-simplify]: Simplify y into y 17.066 * [backup-simplify]: Simplify (* 1 1) into 1 17.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.067 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 17.067 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 17.067 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 17.067 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 17.067 * [taylor]: Taking taylor expansion of 4.0 in x 17.067 * [backup-simplify]: Simplify 4.0 into 4.0 17.067 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 17.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.067 * [taylor]: Taking taylor expansion of y in x 17.068 * [backup-simplify]: Simplify y into y 17.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.068 * [taylor]: Taking taylor expansion of x in x 17.068 * [backup-simplify]: Simplify 0 into 0 17.068 * [backup-simplify]: Simplify 1 into 1 17.068 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.068 * [taylor]: Taking taylor expansion of 4.0 in x 17.068 * [backup-simplify]: Simplify 4.0 into 4.0 17.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.068 * [taylor]: Taking taylor expansion of y in x 17.068 * [backup-simplify]: Simplify y into y 17.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.068 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 17.068 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 17.069 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 17.069 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 17.070 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.071 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.071 * [taylor]: Taking taylor expansion of (- 1.0) in y 17.071 * [taylor]: Taking taylor expansion of 1.0 in y 17.071 * [backup-simplify]: Simplify 1.0 into 1.0 17.075 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.076 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.077 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 17.077 * [backup-simplify]: Simplify (+ 0 0) into 0 17.077 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 17.078 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 17.079 * [backup-simplify]: Simplify (- 0) into 0 17.079 * [backup-simplify]: Simplify (+ 0 0) into 0 17.079 * [taylor]: Taking taylor expansion of 0 in y 17.079 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.080 * [backup-simplify]: Simplify (- 0) into 0 17.080 * [backup-simplify]: Simplify 0 into 0 17.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 17.081 * [backup-simplify]: Simplify (* 1 1) into 1 17.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 17.083 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 17.083 * [backup-simplify]: Simplify (+ 1 0) into 1 17.084 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 17.085 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 17.085 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 17.086 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 17.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 17.086 * [taylor]: Taking taylor expansion of 0.5 in y 17.086 * [backup-simplify]: Simplify 0.5 into 0.5 17.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.086 * [taylor]: Taking taylor expansion of y in y 17.086 * [backup-simplify]: Simplify 0 into 0 17.086 * [backup-simplify]: Simplify 1 into 1 17.086 * [backup-simplify]: Simplify (* 1 1) into 1 17.087 * [backup-simplify]: Simplify (/ 1 1) into 1 17.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 17.091 * [backup-simplify]: Simplify 0 into 0 17.091 * [backup-simplify]: Simplify 0 into 0 17.091 * [backup-simplify]: Simplify (- 0) into 0 17.091 * [backup-simplify]: Simplify 0 into 0 17.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.093 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 17.093 * [backup-simplify]: Simplify (+ 0 0) into 0 17.093 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 17.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 17.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 17.099 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 17.100 * [backup-simplify]: Simplify (+ 0 0) into 0 17.101 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0 17.102 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 17.102 * [backup-simplify]: Simplify (- 0) into 0 17.103 * [backup-simplify]: Simplify (+ 0 0) into 0 17.103 * [taylor]: Taking taylor expansion of 0 in y 17.103 * [backup-simplify]: Simplify 0 into 0 17.103 * [backup-simplify]: Simplify 0 into 0 17.103 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.104 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 17.104 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 17.104 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 17.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 17.104 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 17.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.104 * [taylor]: Taking taylor expansion of x in y 17.104 * [backup-simplify]: Simplify x into x 17.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.104 * [taylor]: Taking taylor expansion of x in y 17.104 * [backup-simplify]: Simplify x into x 17.105 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.105 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.105 * [taylor]: Taking taylor expansion of 4.0 in y 17.105 * [backup-simplify]: Simplify 4.0 into 4.0 17.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.105 * [taylor]: Taking taylor expansion of y in y 17.105 * [backup-simplify]: Simplify 0 into 0 17.105 * [backup-simplify]: Simplify 1 into 1 17.105 * [backup-simplify]: Simplify (* 1 1) into 1 17.106 * [backup-simplify]: Simplify (/ 1 1) into 1 17.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.106 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.107 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 17.107 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 17.107 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 17.107 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 17.107 * [taylor]: Taking taylor expansion of 4.0 in y 17.107 * [backup-simplify]: Simplify 4.0 into 4.0 17.107 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 17.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 17.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.107 * [taylor]: Taking taylor expansion of x in y 17.107 * [backup-simplify]: Simplify x into x 17.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.108 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.108 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.108 * [taylor]: Taking taylor expansion of 4.0 in y 17.108 * [backup-simplify]: Simplify 4.0 into 4.0 17.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.108 * [taylor]: Taking taylor expansion of y in y 17.108 * [backup-simplify]: Simplify 0 into 0 17.108 * [backup-simplify]: Simplify 1 into 1 17.108 * [backup-simplify]: Simplify (* 1 1) into 1 17.109 * [backup-simplify]: Simplify (/ 1 1) into 1 17.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.109 * [taylor]: Taking taylor expansion of y in y 17.109 * [backup-simplify]: Simplify 0 into 0 17.109 * [backup-simplify]: Simplify 1 into 1 17.109 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.110 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 17.110 * [backup-simplify]: Simplify (* 1 1) into 1 17.110 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.111 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 17.111 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 17.111 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.111 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.111 * [taylor]: Taking taylor expansion of x in x 17.111 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify 1 into 1 17.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.111 * [taylor]: Taking taylor expansion of x in x 17.111 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify 1 into 1 17.112 * [backup-simplify]: Simplify (* 1 1) into 1 17.112 * [backup-simplify]: Simplify (/ 1 1) into 1 17.112 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.112 * [taylor]: Taking taylor expansion of 4.0 in x 17.112 * [backup-simplify]: Simplify 4.0 into 4.0 17.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.112 * [taylor]: Taking taylor expansion of y in x 17.112 * [backup-simplify]: Simplify y into y 17.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.113 * [backup-simplify]: Simplify (* 1 1) into 1 17.113 * [backup-simplify]: Simplify (+ 1 0) into 1 17.114 * [backup-simplify]: Simplify (* 1 1) into 1 17.114 * [backup-simplify]: Simplify (/ 1 1) into 1 17.114 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 17.114 * [taylor]: Taking taylor expansion of 4.0 in x 17.114 * [backup-simplify]: Simplify 4.0 into 4.0 17.114 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 17.114 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 17.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.114 * [taylor]: Taking taylor expansion of x in x 17.114 * [backup-simplify]: Simplify 0 into 0 17.114 * [backup-simplify]: Simplify 1 into 1 17.115 * [backup-simplify]: Simplify (* 1 1) into 1 17.115 * [backup-simplify]: Simplify (/ 1 1) into 1 17.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.115 * [taylor]: Taking taylor expansion of 4.0 in x 17.115 * [backup-simplify]: Simplify 4.0 into 4.0 17.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.115 * [taylor]: Taking taylor expansion of y in x 17.115 * [backup-simplify]: Simplify y into y 17.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.116 * [taylor]: Taking taylor expansion of y in x 17.116 * [backup-simplify]: Simplify y into y 17.116 * [backup-simplify]: Simplify (+ 1 0) into 1 17.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.116 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 17.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.117 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 17.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.117 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.117 * [taylor]: Taking taylor expansion of x in x 17.117 * [backup-simplify]: Simplify 0 into 0 17.117 * [backup-simplify]: Simplify 1 into 1 17.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.117 * [taylor]: Taking taylor expansion of x in x 17.117 * [backup-simplify]: Simplify 0 into 0 17.117 * [backup-simplify]: Simplify 1 into 1 17.117 * [backup-simplify]: Simplify (* 1 1) into 1 17.118 * [backup-simplify]: Simplify (/ 1 1) into 1 17.118 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.118 * [taylor]: Taking taylor expansion of 4.0 in x 17.118 * [backup-simplify]: Simplify 4.0 into 4.0 17.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.118 * [taylor]: Taking taylor expansion of y in x 17.118 * [backup-simplify]: Simplify y into y 17.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.119 * [backup-simplify]: Simplify (* 1 1) into 1 17.120 * [backup-simplify]: Simplify (+ 1 0) into 1 17.120 * [backup-simplify]: Simplify (* 1 1) into 1 17.121 * [backup-simplify]: Simplify (/ 1 1) into 1 17.121 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 17.121 * [taylor]: Taking taylor expansion of 4.0 in x 17.121 * [backup-simplify]: Simplify 4.0 into 4.0 17.121 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 17.121 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 17.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.121 * [taylor]: Taking taylor expansion of x in x 17.121 * [backup-simplify]: Simplify 0 into 0 17.121 * [backup-simplify]: Simplify 1 into 1 17.121 * [backup-simplify]: Simplify (* 1 1) into 1 17.122 * [backup-simplify]: Simplify (/ 1 1) into 1 17.122 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.122 * [taylor]: Taking taylor expansion of 4.0 in x 17.122 * [backup-simplify]: Simplify 4.0 into 4.0 17.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.122 * [taylor]: Taking taylor expansion of y in x 17.122 * [backup-simplify]: Simplify y into y 17.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.122 * [taylor]: Taking taylor expansion of y in x 17.122 * [backup-simplify]: Simplify y into y 17.123 * [backup-simplify]: Simplify (+ 1 0) into 1 17.123 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.123 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 17.123 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.124 * [backup-simplify]: Simplify (+ 1 0) into 1 17.124 * [taylor]: Taking taylor expansion of 1 in y 17.124 * [backup-simplify]: Simplify 1 into 1 17.124 * [backup-simplify]: Simplify 1 into 1 17.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.126 * [backup-simplify]: Simplify (+ 0 0) into 0 17.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.129 * [backup-simplify]: Simplify (+ 0 0) into 0 17.129 * [taylor]: Taking taylor expansion of 0 in y 17.129 * [backup-simplify]: Simplify 0 into 0 17.129 * [backup-simplify]: Simplify 0 into 0 17.129 * [backup-simplify]: Simplify 0 into 0 17.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.131 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.131 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.133 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 17.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.135 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.135 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.135 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 17.136 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 17.136 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 17.136 * [taylor]: Taking taylor expansion of 8.0 in y 17.136 * [backup-simplify]: Simplify 8.0 into 8.0 17.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.136 * [taylor]: Taking taylor expansion of y in y 17.136 * [backup-simplify]: Simplify 0 into 0 17.136 * [backup-simplify]: Simplify 1 into 1 17.136 * [backup-simplify]: Simplify (* 1 1) into 1 17.137 * [backup-simplify]: Simplify (/ 1 1) into 1 17.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.141 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 17.141 * [backup-simplify]: Simplify (- 0) into 0 17.141 * [backup-simplify]: Simplify 0 into 0 17.141 * [backup-simplify]: Simplify 0 into 0 17.141 * [backup-simplify]: Simplify 0 into 0 17.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.144 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.147 * [backup-simplify]: Simplify (+ 0 0) into 0 17.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 17.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 17.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.153 * [backup-simplify]: Simplify (+ 0 0) into 0 17.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 17.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.154 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.155 * [backup-simplify]: Simplify (- 0) into 0 17.155 * [backup-simplify]: Simplify (+ 0 0) into 0 17.155 * [taylor]: Taking taylor expansion of 0 in y 17.155 * [backup-simplify]: Simplify 0 into 0 17.155 * [backup-simplify]: Simplify 0 into 0 17.155 * [backup-simplify]: Simplify 1 into 1 17.156 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 17.156 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 17.157 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 17.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 17.157 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 17.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.157 * [taylor]: Taking taylor expansion of x in y 17.157 * [backup-simplify]: Simplify x into x 17.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.157 * [taylor]: Taking taylor expansion of x in y 17.157 * [backup-simplify]: Simplify x into x 17.157 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.157 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.157 * [taylor]: Taking taylor expansion of 4.0 in y 17.157 * [backup-simplify]: Simplify 4.0 into 4.0 17.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.157 * [taylor]: Taking taylor expansion of y in y 17.157 * [backup-simplify]: Simplify 0 into 0 17.157 * [backup-simplify]: Simplify 1 into 1 17.158 * [backup-simplify]: Simplify (* 1 1) into 1 17.158 * [backup-simplify]: Simplify (/ 1 1) into 1 17.158 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.159 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.159 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 17.159 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 17.160 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 17.160 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 17.160 * [taylor]: Taking taylor expansion of 4.0 in y 17.160 * [backup-simplify]: Simplify 4.0 into 4.0 17.160 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 17.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 17.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.160 * [taylor]: Taking taylor expansion of x in y 17.160 * [backup-simplify]: Simplify x into x 17.160 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.160 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.160 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.160 * [taylor]: Taking taylor expansion of 4.0 in y 17.160 * [backup-simplify]: Simplify 4.0 into 4.0 17.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.160 * [taylor]: Taking taylor expansion of y in y 17.160 * [backup-simplify]: Simplify 0 into 0 17.160 * [backup-simplify]: Simplify 1 into 1 17.161 * [backup-simplify]: Simplify (* 1 1) into 1 17.161 * [backup-simplify]: Simplify (/ 1 1) into 1 17.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.161 * [taylor]: Taking taylor expansion of y in y 17.161 * [backup-simplify]: Simplify 0 into 0 17.161 * [backup-simplify]: Simplify 1 into 1 17.161 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.210 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 17.223 * [backup-simplify]: Simplify (* 1 1) into 1 17.224 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.224 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 17.224 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 17.224 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.224 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.224 * [taylor]: Taking taylor expansion of x in x 17.224 * [backup-simplify]: Simplify 0 into 0 17.224 * [backup-simplify]: Simplify 1 into 1 17.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.225 * [taylor]: Taking taylor expansion of x in x 17.225 * [backup-simplify]: Simplify 0 into 0 17.225 * [backup-simplify]: Simplify 1 into 1 17.225 * [backup-simplify]: Simplify (* 1 1) into 1 17.225 * [backup-simplify]: Simplify (/ 1 1) into 1 17.226 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.226 * [taylor]: Taking taylor expansion of 4.0 in x 17.226 * [backup-simplify]: Simplify 4.0 into 4.0 17.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.226 * [taylor]: Taking taylor expansion of y in x 17.226 * [backup-simplify]: Simplify y into y 17.227 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.227 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.227 * [backup-simplify]: Simplify (* 1 1) into 1 17.228 * [backup-simplify]: Simplify (+ 1 0) into 1 17.228 * [backup-simplify]: Simplify (* 1 1) into 1 17.228 * [backup-simplify]: Simplify (/ 1 1) into 1 17.228 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 17.228 * [taylor]: Taking taylor expansion of 4.0 in x 17.229 * [backup-simplify]: Simplify 4.0 into 4.0 17.229 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 17.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 17.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.229 * [taylor]: Taking taylor expansion of x in x 17.229 * [backup-simplify]: Simplify 0 into 0 17.229 * [backup-simplify]: Simplify 1 into 1 17.229 * [backup-simplify]: Simplify (* 1 1) into 1 17.230 * [backup-simplify]: Simplify (/ 1 1) into 1 17.230 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.230 * [taylor]: Taking taylor expansion of 4.0 in x 17.230 * [backup-simplify]: Simplify 4.0 into 4.0 17.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.230 * [taylor]: Taking taylor expansion of y in x 17.230 * [backup-simplify]: Simplify y into y 17.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.230 * [taylor]: Taking taylor expansion of y in x 17.230 * [backup-simplify]: Simplify y into y 17.231 * [backup-simplify]: Simplify (+ 1 0) into 1 17.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.231 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 17.231 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.231 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 17.231 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 17.231 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 17.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.231 * [taylor]: Taking taylor expansion of x in x 17.231 * [backup-simplify]: Simplify 0 into 0 17.231 * [backup-simplify]: Simplify 1 into 1 17.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.231 * [taylor]: Taking taylor expansion of x in x 17.231 * [backup-simplify]: Simplify 0 into 0 17.231 * [backup-simplify]: Simplify 1 into 1 17.232 * [backup-simplify]: Simplify (* 1 1) into 1 17.232 * [backup-simplify]: Simplify (/ 1 1) into 1 17.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.232 * [taylor]: Taking taylor expansion of 4.0 in x 17.232 * [backup-simplify]: Simplify 4.0 into 4.0 17.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.232 * [taylor]: Taking taylor expansion of y in x 17.233 * [backup-simplify]: Simplify y into y 17.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.233 * [backup-simplify]: Simplify (* 1 1) into 1 17.234 * [backup-simplify]: Simplify (+ 1 0) into 1 17.234 * [backup-simplify]: Simplify (* 1 1) into 1 17.235 * [backup-simplify]: Simplify (/ 1 1) into 1 17.235 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 17.235 * [taylor]: Taking taylor expansion of 4.0 in x 17.235 * [backup-simplify]: Simplify 4.0 into 4.0 17.235 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 17.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 17.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.235 * [taylor]: Taking taylor expansion of x in x 17.235 * [backup-simplify]: Simplify 0 into 0 17.235 * [backup-simplify]: Simplify 1 into 1 17.236 * [backup-simplify]: Simplify (* 1 1) into 1 17.236 * [backup-simplify]: Simplify (/ 1 1) into 1 17.236 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.236 * [taylor]: Taking taylor expansion of 4.0 in x 17.236 * [backup-simplify]: Simplify 4.0 into 4.0 17.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.236 * [taylor]: Taking taylor expansion of y in x 17.236 * [backup-simplify]: Simplify y into y 17.237 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.237 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.237 * [taylor]: Taking taylor expansion of y in x 17.237 * [backup-simplify]: Simplify y into y 17.238 * [backup-simplify]: Simplify (+ 1 0) into 1 17.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.238 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 17.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.239 * [backup-simplify]: Simplify (+ 1 0) into 1 17.239 * [taylor]: Taking taylor expansion of 1 in y 17.239 * [backup-simplify]: Simplify 1 into 1 17.239 * [backup-simplify]: Simplify 1 into 1 17.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.241 * [backup-simplify]: Simplify (+ 0 0) into 0 17.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.244 * [backup-simplify]: Simplify (+ 0 0) into 0 17.244 * [taylor]: Taking taylor expansion of 0 in y 17.244 * [backup-simplify]: Simplify 0 into 0 17.244 * [backup-simplify]: Simplify 0 into 0 17.244 * [backup-simplify]: Simplify 0 into 0 17.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.247 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.247 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.250 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 17.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.251 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.251 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 17.252 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 17.252 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 17.252 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 17.252 * [taylor]: Taking taylor expansion of 8.0 in y 17.252 * [backup-simplify]: Simplify 8.0 into 8.0 17.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.252 * [taylor]: Taking taylor expansion of y in y 17.252 * [backup-simplify]: Simplify 0 into 0 17.252 * [backup-simplify]: Simplify 1 into 1 17.253 * [backup-simplify]: Simplify (* 1 1) into 1 17.253 * [backup-simplify]: Simplify (/ 1 1) into 1 17.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.257 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 17.258 * [backup-simplify]: Simplify (- 0) into 0 17.258 * [backup-simplify]: Simplify 0 into 0 17.258 * [backup-simplify]: Simplify 0 into 0 17.258 * [backup-simplify]: Simplify 0 into 0 17.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.261 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.262 * [backup-simplify]: Simplify (+ 0 0) into 0 17.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 17.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 17.276 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.278 * [backup-simplify]: Simplify (+ 0 0) into 0 17.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 17.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.280 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.280 * [backup-simplify]: Simplify (- 0) into 0 17.280 * [backup-simplify]: Simplify (+ 0 0) into 0 17.281 * [taylor]: Taking taylor expansion of 0 in y 17.281 * [backup-simplify]: Simplify 0 into 0 17.281 * [backup-simplify]: Simplify 0 into 0 17.281 * [backup-simplify]: Simplify 1 into 1 17.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 17.282 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2))) 17.282 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 17.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 17.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.282 * [taylor]: Taking taylor expansion of x in y 17.282 * [backup-simplify]: Simplify x into x 17.282 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 17.282 * [taylor]: Taking taylor expansion of 4.0 in y 17.282 * [backup-simplify]: Simplify 4.0 into 4.0 17.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.282 * [taylor]: Taking taylor expansion of y in y 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify 1 into 1 17.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.282 * [taylor]: Taking taylor expansion of x in x 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify 1 into 1 17.282 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.282 * [taylor]: Taking taylor expansion of 4.0 in x 17.282 * [backup-simplify]: Simplify 4.0 into 4.0 17.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.282 * [taylor]: Taking taylor expansion of y in x 17.282 * [backup-simplify]: Simplify y into y 17.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 17.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.283 * [taylor]: Taking taylor expansion of x in x 17.283 * [backup-simplify]: Simplify 0 into 0 17.283 * [backup-simplify]: Simplify 1 into 1 17.283 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 17.283 * [taylor]: Taking taylor expansion of 4.0 in x 17.283 * [backup-simplify]: Simplify 4.0 into 4.0 17.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.283 * [taylor]: Taking taylor expansion of y in x 17.283 * [backup-simplify]: Simplify y into y 17.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.283 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 17.283 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 17.283 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 17.283 * [taylor]: Taking taylor expansion of 4.0 in y 17.283 * [backup-simplify]: Simplify 4.0 into 4.0 17.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.283 * [taylor]: Taking taylor expansion of y in y 17.283 * [backup-simplify]: Simplify 0 into 0 17.283 * [backup-simplify]: Simplify 1 into 1 17.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.285 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 17.285 * [backup-simplify]: Simplify (+ 0 0) into 0 17.285 * [taylor]: Taking taylor expansion of 0 in y 17.285 * [backup-simplify]: Simplify 0 into 0 17.285 * [backup-simplify]: Simplify 0 into 0 17.286 * [backup-simplify]: Simplify (* 1 1) into 1 17.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 17.288 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 17.288 * [backup-simplify]: Simplify (+ 1 0) into 1 17.288 * [taylor]: Taking taylor expansion of 1 in y 17.288 * [backup-simplify]: Simplify 1 into 1 17.288 * [backup-simplify]: Simplify 1 into 1 17.293 * [backup-simplify]: Simplify 0 into 0 17.294 * [backup-simplify]: Simplify (* 1 1) into 1 17.295 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.295 * [backup-simplify]: Simplify 4.0 into 4.0 17.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 17.301 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 17.302 * [backup-simplify]: Simplify (+ 0 0) into 0 17.302 * [taylor]: Taking taylor expansion of 0 in y 17.302 * [backup-simplify]: Simplify 0 into 0 17.302 * [backup-simplify]: Simplify 0 into 0 17.302 * [backup-simplify]: Simplify 0 into 0 17.302 * [backup-simplify]: Simplify 0 into 0 17.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.304 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 17.304 * [backup-simplify]: Simplify 0 into 0 17.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.307 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 17.308 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 17.309 * [backup-simplify]: Simplify (+ 0 0) into 0 17.309 * [taylor]: Taking taylor expansion of 0 in y 17.309 * [backup-simplify]: Simplify 0 into 0 17.309 * [backup-simplify]: Simplify 0 into 0 17.309 * [backup-simplify]: Simplify 0 into 0 17.309 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2))) 17.310 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 17.310 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 17.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.310 * [taylor]: Taking taylor expansion of x in y 17.310 * [backup-simplify]: Simplify x into x 17.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.310 * [taylor]: Taking taylor expansion of 4.0 in y 17.310 * [backup-simplify]: Simplify 4.0 into 4.0 17.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.310 * [taylor]: Taking taylor expansion of y in y 17.310 * [backup-simplify]: Simplify 0 into 0 17.310 * [backup-simplify]: Simplify 1 into 1 17.311 * [backup-simplify]: Simplify (* 1 1) into 1 17.311 * [backup-simplify]: Simplify (/ 1 1) into 1 17.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.312 * [taylor]: Taking taylor expansion of x in x 17.312 * [backup-simplify]: Simplify 0 into 0 17.312 * [backup-simplify]: Simplify 1 into 1 17.312 * [backup-simplify]: Simplify (* 1 1) into 1 17.312 * [backup-simplify]: Simplify (/ 1 1) into 1 17.312 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.312 * [taylor]: Taking taylor expansion of 4.0 in x 17.312 * [backup-simplify]: Simplify 4.0 into 4.0 17.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.313 * [taylor]: Taking taylor expansion of y in x 17.313 * [backup-simplify]: Simplify y into y 17.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.313 * [taylor]: Taking taylor expansion of x in x 17.313 * [backup-simplify]: Simplify 0 into 0 17.313 * [backup-simplify]: Simplify 1 into 1 17.314 * [backup-simplify]: Simplify (* 1 1) into 1 17.314 * [backup-simplify]: Simplify (/ 1 1) into 1 17.314 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.314 * [taylor]: Taking taylor expansion of 4.0 in x 17.314 * [backup-simplify]: Simplify 4.0 into 4.0 17.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.314 * [taylor]: Taking taylor expansion of y in x 17.314 * [backup-simplify]: Simplify y into y 17.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.319 * [backup-simplify]: Simplify (+ 1 0) into 1 17.319 * [taylor]: Taking taylor expansion of 1 in y 17.319 * [backup-simplify]: Simplify 1 into 1 17.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.321 * [backup-simplify]: Simplify (+ 0 0) into 0 17.321 * [taylor]: Taking taylor expansion of 0 in y 17.321 * [backup-simplify]: Simplify 0 into 0 17.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.324 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.324 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.324 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.324 * [taylor]: Taking taylor expansion of 4.0 in y 17.324 * [backup-simplify]: Simplify 4.0 into 4.0 17.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.324 * [taylor]: Taking taylor expansion of y in y 17.324 * [backup-simplify]: Simplify 0 into 0 17.324 * [backup-simplify]: Simplify 1 into 1 17.324 * [backup-simplify]: Simplify (* 1 1) into 1 17.325 * [backup-simplify]: Simplify (/ 1 1) into 1 17.325 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.325 * [backup-simplify]: Simplify 4.0 into 4.0 17.325 * [backup-simplify]: Simplify 1 into 1 17.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.328 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.330 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.330 * [backup-simplify]: Simplify (+ 0 0) into 0 17.330 * [taylor]: Taking taylor expansion of 0 in y 17.330 * [backup-simplify]: Simplify 0 into 0 17.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.332 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 17.332 * [backup-simplify]: Simplify 0 into 0 17.332 * [backup-simplify]: Simplify 0 into 0 17.332 * [backup-simplify]: Simplify 0 into 0 17.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.336 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 17.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 17.337 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 17.338 * [backup-simplify]: Simplify (+ 0 0) into 0 17.338 * [taylor]: Taking taylor expansion of 0 in y 17.338 * [backup-simplify]: Simplify 0 into 0 17.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.341 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 17.341 * [backup-simplify]: Simplify 0 into 0 17.341 * [backup-simplify]: Simplify 0 into 0 17.341 * [backup-simplify]: Simplify 0 into 0 17.342 * [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))) 17.342 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 17.342 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 17.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 17.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 17.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 17.342 * [taylor]: Taking taylor expansion of x in y 17.343 * [backup-simplify]: Simplify x into x 17.343 * [backup-simplify]: Simplify (* x x) into (pow x 2) 17.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 17.343 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.343 * [taylor]: Taking taylor expansion of 4.0 in y 17.343 * [backup-simplify]: Simplify 4.0 into 4.0 17.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.343 * [taylor]: Taking taylor expansion of y in y 17.343 * [backup-simplify]: Simplify 0 into 0 17.343 * [backup-simplify]: Simplify 1 into 1 17.344 * [backup-simplify]: Simplify (* 1 1) into 1 17.344 * [backup-simplify]: Simplify (/ 1 1) into 1 17.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.345 * [taylor]: Taking taylor expansion of x in x 17.345 * [backup-simplify]: Simplify 0 into 0 17.345 * [backup-simplify]: Simplify 1 into 1 17.345 * [backup-simplify]: Simplify (* 1 1) into 1 17.346 * [backup-simplify]: Simplify (/ 1 1) into 1 17.346 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.346 * [taylor]: Taking taylor expansion of 4.0 in x 17.346 * [backup-simplify]: Simplify 4.0 into 4.0 17.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.346 * [taylor]: Taking taylor expansion of y in x 17.346 * [backup-simplify]: Simplify y into y 17.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 17.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 17.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 17.347 * [taylor]: Taking taylor expansion of x in x 17.347 * [backup-simplify]: Simplify 0 into 0 17.347 * [backup-simplify]: Simplify 1 into 1 17.347 * [backup-simplify]: Simplify (* 1 1) into 1 17.348 * [backup-simplify]: Simplify (/ 1 1) into 1 17.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 17.348 * [taylor]: Taking taylor expansion of 4.0 in x 17.348 * [backup-simplify]: Simplify 4.0 into 4.0 17.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 17.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 17.348 * [taylor]: Taking taylor expansion of y in x 17.348 * [backup-simplify]: Simplify y into y 17.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 17.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 17.351 * [backup-simplify]: Simplify (+ 1 0) into 1 17.351 * [taylor]: Taking taylor expansion of 1 in y 17.351 * [backup-simplify]: Simplify 1 into 1 17.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.353 * [backup-simplify]: Simplify (+ 0 0) into 0 17.353 * [taylor]: Taking taylor expansion of 0 in y 17.353 * [backup-simplify]: Simplify 0 into 0 17.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.359 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 17.359 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 17.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 17.359 * [taylor]: Taking taylor expansion of 4.0 in y 17.359 * [backup-simplify]: Simplify 4.0 into 4.0 17.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 17.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 17.359 * [taylor]: Taking taylor expansion of y in y 17.359 * [backup-simplify]: Simplify 0 into 0 17.359 * [backup-simplify]: Simplify 1 into 1 17.360 * [backup-simplify]: Simplify (* 1 1) into 1 17.361 * [backup-simplify]: Simplify (/ 1 1) into 1 17.361 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 17.361 * [backup-simplify]: Simplify 4.0 into 4.0 17.361 * [backup-simplify]: Simplify 1 into 1 17.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 17.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 17.365 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 17.365 * [backup-simplify]: Simplify (+ 0 0) into 0 17.365 * [taylor]: Taking taylor expansion of 0 in y 17.365 * [backup-simplify]: Simplify 0 into 0 17.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 17.367 * [backup-simplify]: Simplify 0 into 0 17.367 * [backup-simplify]: Simplify 0 into 0 17.367 * [backup-simplify]: Simplify 0 into 0 17.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.372 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 17.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 17.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 17.374 * [backup-simplify]: Simplify (+ 0 0) into 0 17.374 * [taylor]: Taking taylor expansion of 0 in y 17.374 * [backup-simplify]: Simplify 0 into 0 17.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 17.377 * [backup-simplify]: Simplify 0 into 0 17.377 * [backup-simplify]: Simplify 0 into 0 17.377 * [backup-simplify]: Simplify 0 into 0 17.378 * [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))) 17.378 * * * [progress]: simplifying candidates 17.404 * [simplify]: Simplifying: (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ 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x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* 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) (+ (* 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))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* 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)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* 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)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* 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) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* 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)))) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)) 0 0 0 0 0 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))) 17.411 * * [simplify]: iteration 0: 142 enodes 17.657 * * [simplify]: iteration 1: 451 enodes 18.877 * * [simplify]: iteration 2: 1848 enodes 21.804 * * [simplify]: iteration complete: 5001 enodes 21.804 * * [simplify]: Extracting #0: cost 75 inf + 0 21.806 * * [simplify]: Extracting #1: cost 998 inf + 3 21.815 * * [simplify]: Extracting #2: cost 1679 inf + 6423 21.854 * * [simplify]: Extracting #3: cost 1417 inf + 111425 22.004 * * [simplify]: Extracting #4: cost 347 inf + 416610 22.196 * * [simplify]: Extracting #5: cost 51 inf + 499035 22.600 * * [simplify]: Extracting #6: cost 6 inf + 508261 23.196 * * [simplify]: Extracting #7: cost 0 inf + 510142 23.680 * [simplify]: Simplified to: (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (exp (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) 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y) (+ (* (* 4.0 y) y) (* x x)))) (- (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))))) (+ (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (+ (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (- (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))))) (+ (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))))) (- (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))))) (- (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (- (* x x) (* (* 4.0 y) y)) (- (/ (* x x) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y))))) (/ (* (* 4.0 y) y) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))))) (- (/ (* x x) (* (+ (* (* 4.0 y) y) (* x x)) (- (* x x) (* (* 4.0 y) y)))) (/ (* (* 4.0 y) y) (* (+ (* (* 4.0 y) y) (* x x)) (- (* x x) (* (* 4.0 y) y))))) (- (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (exp (+ (* (* 4.0 y) y) (* x x))) (log (+ (* (* 4.0 y) y) (* x x))) (exp (+ (* (* 4.0 y) y) (* x x))) (* (cbrt (+ (* (* 4.0 y) y) (* x x))) (cbrt (+ (* (* 4.0 y) y) (* x x)))) (cbrt (+ (* (* 4.0 y) y) (* x x))) (* (* (+ (* (* 4.0 y) y) (* x x)) (+ (* (* 4.0 y) y) (* x x))) (+ (* (* 4.0 y) y) (* x x))) (sqrt (+ (* (* 4.0 y) y) (* x x))) (sqrt (+ (* (* 4.0 y) y) (* x x))) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))) (+ (* (* x x) (* x x)) (* (- (* (* 4.0 y) y) (* x x)) (* (* 4.0 y) y))) (* (+ (* (* 4.0 y) y) (* x x)) (- (* x x) (* (* 4.0 y) y))) (- (* x x) (* (* 4.0 y) y)) 0 0 0 0 0 0 (- 1.0) 1 1 (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))) 23.741 * * * [progress]: adding candidates to table 24.892 * * [progress]: iteration 3 / 4 24.894 * * * [progress]: picking best candidate 25.056 * * * * [pick]: Picked # 25.057 * * * [progress]: localizing error 25.217 * * * [progress]: generating rewritten candidates 25.217 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 25.242 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 25.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 25.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 25.459 * * * [progress]: generating series expansions 25.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 25.460 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) 25.460 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 25.460 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 25.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 25.460 * [taylor]: Taking taylor expansion of (pow x 2) in y 25.460 * [taylor]: Taking taylor expansion of x in y 25.460 * [backup-simplify]: Simplify x into x 25.460 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 25.460 * [taylor]: Taking taylor expansion of 4.0 in y 25.460 * [backup-simplify]: Simplify 4.0 into 4.0 25.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.460 * [taylor]: Taking taylor expansion of y in y 25.460 * [backup-simplify]: Simplify 0 into 0 25.460 * [backup-simplify]: Simplify 1 into 1 25.460 * [backup-simplify]: Simplify (* x x) into (pow x 2) 25.460 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 25.460 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 25.461 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 25.461 * [backup-simplify]: Simplify (+ 0 0) into 0 25.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 25.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 25.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 25.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.462 * [taylor]: Taking taylor expansion of x in x 25.462 * [backup-simplify]: Simplify 0 into 0 25.462 * [backup-simplify]: Simplify 1 into 1 25.462 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 25.462 * [taylor]: Taking taylor expansion of 4.0 in x 25.462 * [backup-simplify]: Simplify 4.0 into 4.0 25.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.462 * [taylor]: Taking taylor expansion of y in x 25.462 * [backup-simplify]: Simplify y into y 25.462 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.462 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 25.462 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 25.462 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 25.462 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.463 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 25.463 * [backup-simplify]: Simplify (+ 0 0) into 0 25.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 25.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 25.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 25.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.464 * [taylor]: Taking taylor expansion of x in x 25.464 * [backup-simplify]: Simplify 0 into 0 25.464 * [backup-simplify]: Simplify 1 into 1 25.464 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 25.464 * [taylor]: Taking taylor expansion of 4.0 in x 25.464 * [backup-simplify]: Simplify 4.0 into 4.0 25.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.464 * [taylor]: Taking taylor expansion of y in x 25.464 * [backup-simplify]: Simplify y into y 25.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.464 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 25.464 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 25.464 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 25.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.465 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 25.465 * [backup-simplify]: Simplify (+ 0 0) into 0 25.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 25.466 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 25.466 * [taylor]: Taking taylor expansion of y in y 25.466 * [backup-simplify]: Simplify 0 into 0 25.466 * [backup-simplify]: Simplify 1 into 1 25.466 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 25.466 * [taylor]: Taking taylor expansion of 4.0 in y 25.466 * [backup-simplify]: Simplify 4.0 into 4.0 25.466 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.467 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 25.468 * [backup-simplify]: Simplify 0 into 0 25.468 * [taylor]: Taking taylor expansion of 0 in y 25.468 * [backup-simplify]: Simplify 0 into 0 25.468 * [backup-simplify]: Simplify 0 into 0 25.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 25.470 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.470 * [backup-simplify]: Simplify (* 1 1) into 1 25.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 25.472 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 25.472 * [backup-simplify]: Simplify (+ 1 0) into 1 25.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0))) 25.473 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 25.473 * [taylor]: Taking taylor expansion of 1/2 in y 25.473 * [backup-simplify]: Simplify 1/2 into 1/2 25.473 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 25.473 * [taylor]: Taking taylor expansion of y in y 25.473 * [backup-simplify]: Simplify 0 into 0 25.473 * [backup-simplify]: Simplify 1 into 1 25.474 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 25.474 * [taylor]: Taking taylor expansion of 4.0 in y 25.474 * [backup-simplify]: Simplify 4.0 into 4.0 25.474 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.475 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 25.477 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 25.478 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0)) 25.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 25.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 25.483 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0 25.483 * [backup-simplify]: Simplify 0 into 0 25.483 * [backup-simplify]: Simplify 0 into 0 25.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 25.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 25.486 * [backup-simplify]: Simplify 0 into 0 25.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 25.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 25.489 * [backup-simplify]: Simplify (+ 0 0) into 0 25.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0 25.490 * [taylor]: Taking taylor expansion of 0 in y 25.490 * [backup-simplify]: Simplify 0 into 0 25.490 * [backup-simplify]: Simplify 0 into 0 25.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0 25.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0 25.494 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0 25.494 * [backup-simplify]: Simplify 0 into 0 25.494 * [backup-simplify]: Simplify 0 into 0 25.495 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0)) 25.495 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 25.495 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 25.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 25.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 25.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 25.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 25.495 * [taylor]: Taking taylor expansion of x in y 25.495 * [backup-simplify]: Simplify x into x 25.495 * [backup-simplify]: Simplify (* x x) into (pow x 2) 25.496 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 25.496 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 25.496 * [taylor]: Taking taylor expansion of 4.0 in y 25.496 * [backup-simplify]: Simplify 4.0 into 4.0 25.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 25.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.496 * [taylor]: Taking taylor expansion of y in y 25.496 * [backup-simplify]: Simplify 0 into 0 25.496 * [backup-simplify]: Simplify 1 into 1 25.496 * [backup-simplify]: Simplify (* 1 1) into 1 25.497 * [backup-simplify]: Simplify (/ 1 1) into 1 25.497 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 25.497 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 25.498 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.500 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 25.500 * [backup-simplify]: Simplify (+ 0 0) into 0 25.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 25.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 25.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 25.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.501 * [taylor]: Taking taylor expansion of x in x 25.501 * [backup-simplify]: Simplify 0 into 0 25.501 * [backup-simplify]: Simplify 1 into 1 25.501 * [backup-simplify]: Simplify (* 1 1) into 1 25.502 * [backup-simplify]: Simplify (/ 1 1) into 1 25.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 25.502 * [taylor]: Taking taylor expansion of 4.0 in x 25.502 * [backup-simplify]: Simplify 4.0 into 4.0 25.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 25.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.502 * [taylor]: Taking taylor expansion of y in x 25.502 * [backup-simplify]: Simplify y into y 25.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 25.503 * [backup-simplify]: Simplify (+ 1 0) into 1 25.515 * [backup-simplify]: Simplify (sqrt 1) into 1 25.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.517 * [backup-simplify]: Simplify (+ 0 0) into 0 25.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 25.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 25.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 25.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 25.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.518 * [taylor]: Taking taylor expansion of x in x 25.518 * [backup-simplify]: Simplify 0 into 0 25.518 * [backup-simplify]: Simplify 1 into 1 25.518 * [backup-simplify]: Simplify (* 1 1) into 1 25.518 * [backup-simplify]: Simplify (/ 1 1) into 1 25.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 25.518 * [taylor]: Taking taylor expansion of 4.0 in x 25.519 * [backup-simplify]: Simplify 4.0 into 4.0 25.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 25.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.519 * [taylor]: Taking taylor expansion of y in x 25.519 * [backup-simplify]: Simplify y into y 25.519 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.519 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 25.519 * [backup-simplify]: Simplify (+ 1 0) into 1 25.520 * [backup-simplify]: Simplify (sqrt 1) into 1 25.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.521 * [backup-simplify]: Simplify (+ 0 0) into 0 25.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 25.522 * [taylor]: Taking taylor expansion of 1 in y 25.522 * [backup-simplify]: Simplify 1 into 1 25.522 * [taylor]: Taking taylor expansion of 0 in y 25.522 * [backup-simplify]: Simplify 0 into 0 25.522 * [backup-simplify]: Simplify 1 into 1 25.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.524 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 25.525 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 25.526 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 25.526 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 25.526 * [taylor]: Taking taylor expansion of 2.0 in y 25.526 * [backup-simplify]: Simplify 2.0 into 2.0 25.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.526 * [taylor]: Taking taylor expansion of y in y 25.526 * [backup-simplify]: Simplify 0 into 0 25.526 * [backup-simplify]: Simplify 1 into 1 25.526 * [backup-simplify]: Simplify (* 1 1) into 1 25.527 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 25.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 25.528 * [backup-simplify]: Simplify 0 into 0 25.529 * [backup-simplify]: Simplify 0 into 0 25.529 * [backup-simplify]: Simplify 0 into 0 25.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.531 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 25.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 25.532 * [backup-simplify]: Simplify (+ 0 0) into 0 25.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 25.533 * [taylor]: Taking taylor expansion of 0 in y 25.533 * [backup-simplify]: Simplify 0 into 0 25.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.535 * [backup-simplify]: Simplify 0 into 0 25.535 * [backup-simplify]: Simplify 0 into 0 25.535 * [backup-simplify]: Simplify 0 into 0 25.535 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 25.535 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 25.535 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 25.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 25.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 25.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 25.535 * [taylor]: Taking taylor expansion of (pow x 2) in y 25.535 * [taylor]: Taking taylor expansion of x in y 25.535 * [backup-simplify]: Simplify x into x 25.536 * [backup-simplify]: Simplify (* x x) into (pow x 2) 25.536 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 25.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 25.536 * [taylor]: Taking taylor expansion of 4.0 in y 25.536 * [backup-simplify]: Simplify 4.0 into 4.0 25.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 25.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.536 * [taylor]: Taking taylor expansion of y in y 25.536 * [backup-simplify]: Simplify 0 into 0 25.536 * [backup-simplify]: Simplify 1 into 1 25.536 * [backup-simplify]: Simplify (* 1 1) into 1 25.537 * [backup-simplify]: Simplify (/ 1 1) into 1 25.539 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 25.540 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 25.540 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.542 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 25.544 * [backup-simplify]: Simplify (+ 0 0) into 0 25.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 25.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 25.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 25.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.545 * [taylor]: Taking taylor expansion of x in x 25.545 * [backup-simplify]: Simplify 0 into 0 25.545 * [backup-simplify]: Simplify 1 into 1 25.545 * [backup-simplify]: Simplify (* 1 1) into 1 25.546 * [backup-simplify]: Simplify (/ 1 1) into 1 25.546 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 25.546 * [taylor]: Taking taylor expansion of 4.0 in x 25.546 * [backup-simplify]: Simplify 4.0 into 4.0 25.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 25.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.546 * [taylor]: Taking taylor expansion of y in x 25.546 * [backup-simplify]: Simplify y into y 25.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 25.553 * [backup-simplify]: Simplify (+ 1 0) into 1 25.553 * [backup-simplify]: Simplify (sqrt 1) into 1 25.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.568 * [backup-simplify]: Simplify (+ 0 0) into 0 25.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 25.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 25.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 25.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 25.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.569 * [taylor]: Taking taylor expansion of x in x 25.569 * [backup-simplify]: Simplify 0 into 0 25.569 * [backup-simplify]: Simplify 1 into 1 25.569 * [backup-simplify]: Simplify (* 1 1) into 1 25.569 * [backup-simplify]: Simplify (/ 1 1) into 1 25.569 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 25.570 * [taylor]: Taking taylor expansion of 4.0 in x 25.570 * [backup-simplify]: Simplify 4.0 into 4.0 25.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 25.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.570 * [taylor]: Taking taylor expansion of y in x 25.570 * [backup-simplify]: Simplify y into y 25.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.570 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 25.570 * [backup-simplify]: Simplify (+ 1 0) into 1 25.571 * [backup-simplify]: Simplify (sqrt 1) into 1 25.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.573 * [backup-simplify]: Simplify (+ 0 0) into 0 25.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 25.573 * [taylor]: Taking taylor expansion of 1 in y 25.574 * [backup-simplify]: Simplify 1 into 1 25.574 * [taylor]: Taking taylor expansion of 0 in y 25.574 * [backup-simplify]: Simplify 0 into 0 25.574 * [backup-simplify]: Simplify 1 into 1 25.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.584 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 25.584 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 25.586 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 25.586 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 25.586 * [taylor]: Taking taylor expansion of 2.0 in y 25.586 * [backup-simplify]: Simplify 2.0 into 2.0 25.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.586 * [taylor]: Taking taylor expansion of y in y 25.586 * [backup-simplify]: Simplify 0 into 0 25.586 * [backup-simplify]: Simplify 1 into 1 25.586 * [backup-simplify]: Simplify (* 1 1) into 1 25.587 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 25.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 25.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 25.592 * [backup-simplify]: Simplify 0 into 0 25.592 * [backup-simplify]: Simplify 0 into 0 25.592 * [backup-simplify]: Simplify 0 into 0 25.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 25.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.594 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 25.603 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 25.604 * [backup-simplify]: Simplify (+ 0 0) into 0 25.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 25.605 * [taylor]: Taking taylor expansion of 0 in y 25.605 * [backup-simplify]: Simplify 0 into 0 25.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 25.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.607 * [backup-simplify]: Simplify 0 into 0 25.607 * [backup-simplify]: Simplify 0 into 0 25.607 * [backup-simplify]: Simplify 0 into 0 25.608 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 25.609 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 25.609 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* y 4.0) y))) into (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) 25.609 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 25.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in y 25.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 25.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 25.609 * [taylor]: Taking taylor expansion of x in y 25.609 * [backup-simplify]: Simplify x into x 25.609 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 25.609 * [taylor]: Taking taylor expansion of 4.0 in y 25.609 * [backup-simplify]: Simplify 4.0 into 4.0 25.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 25.609 * [taylor]: Taking taylor expansion of y in y 25.609 * [backup-simplify]: Simplify 0 into 0 25.609 * [backup-simplify]: Simplify 1 into 1 25.609 * [backup-simplify]: Simplify (* x x) into (pow x 2) 25.610 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 25.610 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 25.610 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 25.610 * [backup-simplify]: Simplify (+ 0 0) into 0 25.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 25.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 25.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 25.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.611 * [taylor]: Taking taylor expansion of x in x 25.611 * [backup-simplify]: Simplify 0 into 0 25.611 * [backup-simplify]: Simplify 1 into 1 25.611 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 25.611 * [taylor]: Taking taylor expansion of 4.0 in x 25.611 * [backup-simplify]: Simplify 4.0 into 4.0 25.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.611 * [taylor]: Taking taylor expansion of y in x 25.611 * [backup-simplify]: Simplify y into y 25.611 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.611 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 25.611 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 25.611 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 25.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.612 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 25.612 * [backup-simplify]: Simplify (+ 0 0) into 0 25.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 25.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4.0 (pow y 2)))) in x 25.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 25.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 25.613 * [taylor]: Taking taylor expansion of x in x 25.613 * [backup-simplify]: Simplify 0 into 0 25.613 * [backup-simplify]: Simplify 1 into 1 25.613 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 25.613 * [taylor]: Taking taylor expansion of 4.0 in x 25.613 * [backup-simplify]: Simplify 4.0 into 4.0 25.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 25.613 * [taylor]: Taking taylor expansion of y in x 25.613 * [backup-simplify]: Simplify y into y 25.613 * [backup-simplify]: Simplify (* y y) into (pow y 2) 25.613 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 25.613 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 25.614 * [backup-simplify]: Simplify (sqrt (* 4.0 (pow y 2))) into (* y (sqrt 4.0)) 25.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 25.614 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 25.615 * [backup-simplify]: Simplify (+ 0 0) into 0 25.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4.0 (pow y 2))))) into 0 25.623 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 25.623 * [taylor]: Taking taylor expansion of y in y 25.623 * [backup-simplify]: Simplify 0 into 0 25.623 * [backup-simplify]: Simplify 1 into 1 25.623 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 25.623 * [taylor]: Taking taylor expansion of 4.0 in y 25.623 * [backup-simplify]: Simplify 4.0 into 4.0 25.624 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.625 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 25.625 * [backup-simplify]: Simplify 0 into 0 25.625 * [taylor]: Taking taylor expansion of 0 in y 25.625 * [backup-simplify]: Simplify 0 into 0 25.625 * [backup-simplify]: Simplify 0 into 0 25.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 25.632 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.633 * [backup-simplify]: Simplify (* 1 1) into 1 25.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 25.638 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 25.639 * [backup-simplify]: Simplify (+ 1 0) into 1 25.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* y (sqrt 4.0)))) into (/ 1/2 (* y (sqrt 4.0))) 25.640 * [taylor]: Taking taylor expansion of (/ 1/2 (* y (sqrt 4.0))) in y 25.640 * [taylor]: Taking taylor expansion of 1/2 in y 25.640 * [backup-simplify]: Simplify 1/2 into 1/2 25.640 * [taylor]: Taking taylor expansion of (* y (sqrt 4.0)) in y 25.640 * [taylor]: Taking taylor expansion of y in y 25.640 * [backup-simplify]: Simplify 0 into 0 25.640 * [backup-simplify]: Simplify 1 into 1 25.640 * [taylor]: Taking taylor expansion of (sqrt 4.0) in y 25.640 * [taylor]: Taking taylor expansion of 4.0 in y 25.640 * [backup-simplify]: Simplify 4.0 into 4.0 25.939 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 25.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 25.946 * [backup-simplify]: Simplify (* 0 (sqrt 4.0)) into 0 25.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 4.0))) into (sqrt 4.0) 25.959 * [backup-simplify]: Simplify (/ 1/2 (sqrt 4.0)) into (/ 1/2 (sqrt 4.0)) 25.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 25.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 25.989 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))))) into 0 25.989 * [backup-simplify]: Simplify 0 into 0 25.992 * [backup-simplify]: Simplify 0 into 0 25.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 4.0))) into 0 25.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 4.0)))) into 0 25.995 * [backup-simplify]: Simplify 0 into 0 25.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 26.006 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 26.006 * [backup-simplify]: Simplify (+ 0 0) into 0 26.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* y (sqrt 4.0))))))) (* 2 (* y (sqrt 4.0)))) into 0 26.023 * [taylor]: Taking taylor expansion of 0 in y 26.023 * [backup-simplify]: Simplify 0 into 0 26.023 * [backup-simplify]: Simplify 0 into 0 26.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 4.0))) into 0 26.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 4.0))))) into 0 26.034 * [backup-simplify]: Simplify (- (/ 0 (sqrt 4.0)) (+ (* (/ 1/2 (sqrt 4.0)) (/ 0 (sqrt 4.0))) (* 0 (/ 0 (sqrt 4.0))))) into 0 26.035 * [backup-simplify]: Simplify 0 into 0 26.035 * [backup-simplify]: Simplify 0 into 0 26.035 * [backup-simplify]: Simplify (* (sqrt 4.0) (* y 1)) into (* y (sqrt 4.0)) 26.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 26.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 26.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 26.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.042 * [taylor]: Taking taylor expansion of x in y 26.042 * [backup-simplify]: Simplify x into x 26.042 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.042 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.042 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.042 * [taylor]: Taking taylor expansion of 4.0 in y 26.042 * [backup-simplify]: Simplify 4.0 into 4.0 26.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.042 * [taylor]: Taking taylor expansion of y in y 26.042 * [backup-simplify]: Simplify 0 into 0 26.042 * [backup-simplify]: Simplify 1 into 1 26.043 * [backup-simplify]: Simplify (* 1 1) into 1 26.043 * [backup-simplify]: Simplify (/ 1 1) into 1 26.044 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.044 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.045 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 26.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.047 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.047 * [backup-simplify]: Simplify (+ 0 0) into 0 26.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 26.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.048 * [taylor]: Taking taylor expansion of x in x 26.048 * [backup-simplify]: Simplify 0 into 0 26.048 * [backup-simplify]: Simplify 1 into 1 26.048 * [backup-simplify]: Simplify (* 1 1) into 1 26.049 * [backup-simplify]: Simplify (/ 1 1) into 1 26.049 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.049 * [taylor]: Taking taylor expansion of 4.0 in x 26.049 * [backup-simplify]: Simplify 4.0 into 4.0 26.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.049 * [taylor]: Taking taylor expansion of y in x 26.049 * [backup-simplify]: Simplify y into y 26.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.050 * [backup-simplify]: Simplify (+ 1 0) into 1 26.050 * [backup-simplify]: Simplify (sqrt 1) into 1 26.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.053 * [backup-simplify]: Simplify (+ 0 0) into 0 26.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.053 * [taylor]: Taking taylor expansion of x in x 26.053 * [backup-simplify]: Simplify 0 into 0 26.053 * [backup-simplify]: Simplify 1 into 1 26.053 * [backup-simplify]: Simplify (* 1 1) into 1 26.054 * [backup-simplify]: Simplify (/ 1 1) into 1 26.054 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.054 * [taylor]: Taking taylor expansion of 4.0 in x 26.054 * [backup-simplify]: Simplify 4.0 into 4.0 26.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.054 * [taylor]: Taking taylor expansion of y in x 26.054 * [backup-simplify]: Simplify y into y 26.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.054 * [backup-simplify]: Simplify (+ 1 0) into 1 26.055 * [backup-simplify]: Simplify (sqrt 1) into 1 26.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.057 * [backup-simplify]: Simplify (+ 0 0) into 0 26.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.057 * [taylor]: Taking taylor expansion of 1 in y 26.057 * [backup-simplify]: Simplify 1 into 1 26.057 * [taylor]: Taking taylor expansion of 0 in y 26.057 * [backup-simplify]: Simplify 0 into 0 26.058 * [backup-simplify]: Simplify 1 into 1 26.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.060 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 26.060 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 26.061 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 26.061 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 26.061 * [taylor]: Taking taylor expansion of 2.0 in y 26.061 * [backup-simplify]: Simplify 2.0 into 2.0 26.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.061 * [taylor]: Taking taylor expansion of y in y 26.061 * [backup-simplify]: Simplify 0 into 0 26.061 * [backup-simplify]: Simplify 1 into 1 26.062 * [backup-simplify]: Simplify (* 1 1) into 1 26.062 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 26.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 26.069 * [backup-simplify]: Simplify 0 into 0 26.069 * [backup-simplify]: Simplify 0 into 0 26.069 * [backup-simplify]: Simplify 0 into 0 26.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 26.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 26.072 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 26.072 * [backup-simplify]: Simplify (+ 0 0) into 0 26.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 26.073 * [taylor]: Taking taylor expansion of 0 in y 26.073 * [backup-simplify]: Simplify 0 into 0 26.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.084 * [backup-simplify]: Simplify 0 into 0 26.085 * [backup-simplify]: Simplify 0 into 0 26.085 * [backup-simplify]: Simplify 0 into 0 26.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 26.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 26.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 26.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 26.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.085 * [taylor]: Taking taylor expansion of x in y 26.085 * [backup-simplify]: Simplify x into x 26.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.086 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.086 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.086 * [taylor]: Taking taylor expansion of 4.0 in y 26.086 * [backup-simplify]: Simplify 4.0 into 4.0 26.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.086 * [taylor]: Taking taylor expansion of y in y 26.086 * [backup-simplify]: Simplify 0 into 0 26.086 * [backup-simplify]: Simplify 1 into 1 26.086 * [backup-simplify]: Simplify (* 1 1) into 1 26.087 * [backup-simplify]: Simplify (/ 1 1) into 1 26.087 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.088 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.088 * [backup-simplify]: Simplify (sqrt 4.0) into (sqrt 4.0) 26.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.090 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.090 * [backup-simplify]: Simplify (+ 0 0) into 0 26.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4.0))) into 0 26.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.093 * [taylor]: Taking taylor expansion of x in x 26.093 * [backup-simplify]: Simplify 0 into 0 26.093 * [backup-simplify]: Simplify 1 into 1 26.093 * [backup-simplify]: Simplify (* 1 1) into 1 26.093 * [backup-simplify]: Simplify (/ 1 1) into 1 26.093 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.094 * [taylor]: Taking taylor expansion of 4.0 in x 26.094 * [backup-simplify]: Simplify 4.0 into 4.0 26.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.094 * [taylor]: Taking taylor expansion of y in x 26.094 * [backup-simplify]: Simplify y into y 26.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.094 * [backup-simplify]: Simplify (+ 1 0) into 1 26.095 * [backup-simplify]: Simplify (sqrt 1) into 1 26.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.096 * [backup-simplify]: Simplify (+ 0 0) into 0 26.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.097 * [taylor]: Taking taylor expansion of x in x 26.097 * [backup-simplify]: Simplify 0 into 0 26.097 * [backup-simplify]: Simplify 1 into 1 26.098 * [backup-simplify]: Simplify (* 1 1) into 1 26.098 * [backup-simplify]: Simplify (/ 1 1) into 1 26.098 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.098 * [taylor]: Taking taylor expansion of 4.0 in x 26.098 * [backup-simplify]: Simplify 4.0 into 4.0 26.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.098 * [taylor]: Taking taylor expansion of y in x 26.098 * [backup-simplify]: Simplify y into y 26.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.099 * [backup-simplify]: Simplify (+ 1 0) into 1 26.100 * [backup-simplify]: Simplify (sqrt 1) into 1 26.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.104 * [backup-simplify]: Simplify (+ 0 0) into 0 26.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 26.105 * [taylor]: Taking taylor expansion of 1 in y 26.105 * [backup-simplify]: Simplify 1 into 1 26.105 * [taylor]: Taking taylor expansion of 0 in y 26.105 * [backup-simplify]: Simplify 0 into 0 26.105 * [backup-simplify]: Simplify 1 into 1 26.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.107 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 26.107 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 26.109 * [backup-simplify]: Simplify (/ (- (* 4.0 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2.0 (pow y 2)) 26.109 * [taylor]: Taking taylor expansion of (/ 2.0 (pow y 2)) in y 26.109 * [taylor]: Taking taylor expansion of 2.0 in y 26.109 * [backup-simplify]: Simplify 2.0 into 2.0 26.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.109 * [taylor]: Taking taylor expansion of y in y 26.109 * [backup-simplify]: Simplify 0 into 0 26.109 * [backup-simplify]: Simplify 1 into 1 26.109 * [backup-simplify]: Simplify (* 1 1) into 1 26.110 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 26.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 26.118 * [backup-simplify]: Simplify 0 into 0 26.118 * [backup-simplify]: Simplify 0 into 0 26.118 * [backup-simplify]: Simplify 0 into 0 26.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.120 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 26.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 26.121 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 26.121 * [backup-simplify]: Simplify (+ 0 0) into 0 26.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2.0 (pow y 2)))))) (* 2 1)) into 0 26.122 * [taylor]: Taking taylor expansion of 0 in y 26.122 * [backup-simplify]: Simplify 0 into 0 26.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.124 * [backup-simplify]: Simplify 0 into 0 26.124 * [backup-simplify]: Simplify 0 into 0 26.124 * [backup-simplify]: Simplify 0 into 0 26.124 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 26.127 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 26.127 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 26.127 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 26.127 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 26.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.128 * [taylor]: Taking taylor expansion of x in y 26.128 * [backup-simplify]: Simplify x into x 26.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 26.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.128 * [taylor]: Taking taylor expansion of x in y 26.128 * [backup-simplify]: Simplify x into x 26.128 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 26.128 * [taylor]: Taking taylor expansion of 4.0 in y 26.128 * [backup-simplify]: Simplify 4.0 into 4.0 26.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.128 * [taylor]: Taking taylor expansion of y in y 26.128 * [backup-simplify]: Simplify 0 into 0 26.128 * [backup-simplify]: Simplify 1 into 1 26.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.128 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 26.128 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 26.128 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 26.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.128 * [taylor]: Taking taylor expansion of x in x 26.128 * [backup-simplify]: Simplify 0 into 0 26.129 * [backup-simplify]: Simplify 1 into 1 26.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 26.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.129 * [taylor]: Taking taylor expansion of x in x 26.129 * [backup-simplify]: Simplify 0 into 0 26.129 * [backup-simplify]: Simplify 1 into 1 26.129 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 26.129 * [taylor]: Taking taylor expansion of 4.0 in x 26.129 * [backup-simplify]: Simplify 4.0 into 4.0 26.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.129 * [taylor]: Taking taylor expansion of y in x 26.129 * [backup-simplify]: Simplify y into y 26.129 * [backup-simplify]: Simplify (* 1 1) into 1 26.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.130 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 26.130 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 26.130 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 26.130 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 26.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.130 * [taylor]: Taking taylor expansion of x in x 26.130 * [backup-simplify]: Simplify 0 into 0 26.130 * [backup-simplify]: Simplify 1 into 1 26.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 26.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.130 * [taylor]: Taking taylor expansion of x in x 26.130 * [backup-simplify]: Simplify 0 into 0 26.130 * [backup-simplify]: Simplify 1 into 1 26.130 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 26.130 * [taylor]: Taking taylor expansion of 4.0 in x 26.130 * [backup-simplify]: Simplify 4.0 into 4.0 26.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.130 * [taylor]: Taking taylor expansion of y in x 26.130 * [backup-simplify]: Simplify y into y 26.132 * [backup-simplify]: Simplify (* 1 1) into 1 26.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.132 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 26.132 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 26.132 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 26.132 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 26.132 * [taylor]: Taking taylor expansion of 0.25 in y 26.132 * [backup-simplify]: Simplify 0.25 into 0.25 26.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.132 * [taylor]: Taking taylor expansion of y in y 26.132 * [backup-simplify]: Simplify 0 into 0 26.132 * [backup-simplify]: Simplify 1 into 1 26.133 * [backup-simplify]: Simplify (* 1 1) into 1 26.133 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 26.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 26.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.136 * [backup-simplify]: Simplify 0 into 0 26.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 26.138 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 26.138 * [backup-simplify]: Simplify (+ 0 0) into 0 26.139 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 26.139 * [taylor]: Taking taylor expansion of 0 in y 26.139 * [backup-simplify]: Simplify 0 into 0 26.139 * [backup-simplify]: Simplify 0 into 0 26.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.142 * [backup-simplify]: Simplify 0 into 0 26.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.143 * [backup-simplify]: Simplify (* 1 1) into 1 26.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 26.144 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 26.145 * [backup-simplify]: Simplify (+ 1 0) into 1 26.146 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 26.146 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 26.146 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 26.146 * [taylor]: Taking taylor expansion of 0.0625 in y 26.146 * [backup-simplify]: Simplify 0.0625 into 0.0625 26.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 26.146 * [taylor]: Taking taylor expansion of (pow y 4) in y 26.146 * [taylor]: Taking taylor expansion of y in y 26.146 * [backup-simplify]: Simplify 0 into 0 26.146 * [backup-simplify]: Simplify 1 into 1 26.146 * [backup-simplify]: Simplify (* 1 1) into 1 26.147 * [backup-simplify]: Simplify (* 1 1) into 1 26.148 * [backup-simplify]: Simplify (/ 1 1) into 1 26.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.160 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.161 * [backup-simplify]: Simplify (- 0) into 0 26.161 * [backup-simplify]: Simplify 0 into 0 26.161 * [backup-simplify]: Simplify 0 into 0 26.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.163 * [backup-simplify]: Simplify 0 into 0 26.163 * [backup-simplify]: Simplify 0 into 0 26.164 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 26.164 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 26.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 26.164 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 26.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.164 * [taylor]: Taking taylor expansion of x in y 26.164 * [backup-simplify]: Simplify x into x 26.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.164 * [taylor]: Taking taylor expansion of x in y 26.164 * [backup-simplify]: Simplify x into x 26.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.165 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.165 * [taylor]: Taking taylor expansion of 4.0 in y 26.165 * [backup-simplify]: Simplify 4.0 into 4.0 26.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.165 * [taylor]: Taking taylor expansion of y in y 26.165 * [backup-simplify]: Simplify 0 into 0 26.165 * [backup-simplify]: Simplify 1 into 1 26.165 * [backup-simplify]: Simplify (* 1 1) into 1 26.166 * [backup-simplify]: Simplify (/ 1 1) into 1 26.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.166 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.166 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.167 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 26.167 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 26.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 26.167 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.167 * [taylor]: Taking taylor expansion of x in x 26.167 * [backup-simplify]: Simplify 0 into 0 26.167 * [backup-simplify]: Simplify 1 into 1 26.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.167 * [taylor]: Taking taylor expansion of x in x 26.167 * [backup-simplify]: Simplify 0 into 0 26.167 * [backup-simplify]: Simplify 1 into 1 26.168 * [backup-simplify]: Simplify (* 1 1) into 1 26.168 * [backup-simplify]: Simplify (/ 1 1) into 1 26.168 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.168 * [taylor]: Taking taylor expansion of 4.0 in x 26.168 * [backup-simplify]: Simplify 4.0 into 4.0 26.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.168 * [taylor]: Taking taylor expansion of y in x 26.168 * [backup-simplify]: Simplify y into y 26.168 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.169 * [backup-simplify]: Simplify (* 1 1) into 1 26.169 * [backup-simplify]: Simplify (+ 1 0) into 1 26.170 * [backup-simplify]: Simplify (* 1 1) into 1 26.170 * [backup-simplify]: Simplify (/ 1 1) into 1 26.170 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 26.170 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.170 * [taylor]: Taking taylor expansion of x in x 26.170 * [backup-simplify]: Simplify 0 into 0 26.170 * [backup-simplify]: Simplify 1 into 1 26.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.170 * [taylor]: Taking taylor expansion of x in x 26.170 * [backup-simplify]: Simplify 0 into 0 26.170 * [backup-simplify]: Simplify 1 into 1 26.171 * [backup-simplify]: Simplify (* 1 1) into 1 26.171 * [backup-simplify]: Simplify (/ 1 1) into 1 26.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.171 * [taylor]: Taking taylor expansion of 4.0 in x 26.171 * [backup-simplify]: Simplify 4.0 into 4.0 26.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.171 * [taylor]: Taking taylor expansion of y in x 26.171 * [backup-simplify]: Simplify y into y 26.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.172 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.172 * [backup-simplify]: Simplify (* 1 1) into 1 26.172 * [backup-simplify]: Simplify (+ 1 0) into 1 26.173 * [backup-simplify]: Simplify (* 1 1) into 1 26.173 * [backup-simplify]: Simplify (/ 1 1) into 1 26.173 * [taylor]: Taking taylor expansion of 1 in y 26.173 * [backup-simplify]: Simplify 1 into 1 26.173 * [backup-simplify]: Simplify 0 into 0 26.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.175 * [backup-simplify]: Simplify (+ 0 0) into 0 26.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.177 * [taylor]: Taking taylor expansion of 0 in y 26.177 * [backup-simplify]: Simplify 0 into 0 26.177 * [backup-simplify]: Simplify 0 into 0 26.177 * [backup-simplify]: Simplify 0 into 0 26.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.180 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 26.180 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 26.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.181 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 26.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 26.182 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 26.182 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.182 * [taylor]: Taking taylor expansion of 4.0 in y 26.182 * [backup-simplify]: Simplify 4.0 into 4.0 26.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.183 * [taylor]: Taking taylor expansion of y in y 26.183 * [backup-simplify]: Simplify 0 into 0 26.183 * [backup-simplify]: Simplify 1 into 1 26.183 * [backup-simplify]: Simplify (* 1 1) into 1 26.184 * [backup-simplify]: Simplify (/ 1 1) into 1 26.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.194 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.195 * [backup-simplify]: Simplify (- 0) into 0 26.195 * [backup-simplify]: Simplify 0 into 0 26.195 * [backup-simplify]: Simplify 0 into 0 26.195 * [backup-simplify]: Simplify 0 into 0 26.195 * [backup-simplify]: Simplify 0 into 0 26.196 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 26.196 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 26.196 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 26.196 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 26.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.196 * [taylor]: Taking taylor expansion of x in y 26.196 * [backup-simplify]: Simplify x into x 26.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.196 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.196 * [taylor]: Taking taylor expansion of x in y 26.196 * [backup-simplify]: Simplify x into x 26.196 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.196 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.196 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.196 * [taylor]: Taking taylor expansion of 4.0 in y 26.197 * [backup-simplify]: Simplify 4.0 into 4.0 26.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.197 * [taylor]: Taking taylor expansion of y in y 26.197 * [backup-simplify]: Simplify 0 into 0 26.197 * [backup-simplify]: Simplify 1 into 1 26.197 * [backup-simplify]: Simplify (* 1 1) into 1 26.198 * [backup-simplify]: Simplify (/ 1 1) into 1 26.198 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.198 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.199 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.199 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 26.199 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 26.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 26.199 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.199 * [taylor]: Taking taylor expansion of x in x 26.199 * [backup-simplify]: Simplify 0 into 0 26.199 * [backup-simplify]: Simplify 1 into 1 26.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.199 * [taylor]: Taking taylor expansion of x in x 26.200 * [backup-simplify]: Simplify 0 into 0 26.200 * [backup-simplify]: Simplify 1 into 1 26.200 * [backup-simplify]: Simplify (* 1 1) into 1 26.200 * [backup-simplify]: Simplify (/ 1 1) into 1 26.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.200 * [taylor]: Taking taylor expansion of 4.0 in x 26.200 * [backup-simplify]: Simplify 4.0 into 4.0 26.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.200 * [taylor]: Taking taylor expansion of y in x 26.200 * [backup-simplify]: Simplify y into y 26.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.201 * [backup-simplify]: Simplify (* 1 1) into 1 26.202 * [backup-simplify]: Simplify (+ 1 0) into 1 26.202 * [backup-simplify]: Simplify (* 1 1) into 1 26.203 * [backup-simplify]: Simplify (/ 1 1) into 1 26.203 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 26.203 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 26.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.203 * [taylor]: Taking taylor expansion of x in x 26.203 * [backup-simplify]: Simplify 0 into 0 26.203 * [backup-simplify]: Simplify 1 into 1 26.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.203 * [taylor]: Taking taylor expansion of x in x 26.203 * [backup-simplify]: Simplify 0 into 0 26.203 * [backup-simplify]: Simplify 1 into 1 26.203 * [backup-simplify]: Simplify (* 1 1) into 1 26.204 * [backup-simplify]: Simplify (/ 1 1) into 1 26.204 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.204 * [taylor]: Taking taylor expansion of 4.0 in x 26.204 * [backup-simplify]: Simplify 4.0 into 4.0 26.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.204 * [taylor]: Taking taylor expansion of y in x 26.204 * [backup-simplify]: Simplify y into y 26.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.205 * [backup-simplify]: Simplify (* 1 1) into 1 26.205 * [backup-simplify]: Simplify (+ 1 0) into 1 26.205 * [backup-simplify]: Simplify (* 1 1) into 1 26.330 * [backup-simplify]: Simplify (/ 1 1) into 1 26.331 * [taylor]: Taking taylor expansion of 1 in y 26.331 * [backup-simplify]: Simplify 1 into 1 26.331 * [backup-simplify]: Simplify 0 into 0 26.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.334 * [backup-simplify]: Simplify (+ 0 0) into 0 26.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.336 * [taylor]: Taking taylor expansion of 0 in y 26.336 * [backup-simplify]: Simplify 0 into 0 26.336 * [backup-simplify]: Simplify 0 into 0 26.336 * [backup-simplify]: Simplify 0 into 0 26.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.343 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 26.343 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 26.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.345 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 26.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 26.346 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 26.346 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.346 * [taylor]: Taking taylor expansion of 4.0 in y 26.346 * [backup-simplify]: Simplify 4.0 into 4.0 26.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.346 * [taylor]: Taking taylor expansion of y in y 26.346 * [backup-simplify]: Simplify 0 into 0 26.346 * [backup-simplify]: Simplify 1 into 1 26.366 * [backup-simplify]: Simplify (* 1 1) into 1 26.366 * [backup-simplify]: Simplify (/ 1 1) into 1 26.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.386 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.386 * [backup-simplify]: Simplify (- 0) into 0 26.386 * [backup-simplify]: Simplify 0 into 0 26.387 * [backup-simplify]: Simplify 0 into 0 26.387 * [backup-simplify]: Simplify 0 into 0 26.387 * [backup-simplify]: Simplify 0 into 0 26.403 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 26.411 * [backup-simplify]: Simplify (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 26.411 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 26.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 26.412 * [taylor]: Taking taylor expansion of 4.0 in x 26.412 * [backup-simplify]: Simplify 4.0 into 4.0 26.412 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 26.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.412 * [taylor]: Taking taylor expansion of y in x 26.412 * [backup-simplify]: Simplify y into y 26.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 26.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.412 * [taylor]: Taking taylor expansion of x in x 26.412 * [backup-simplify]: Simplify 0 into 0 26.412 * [backup-simplify]: Simplify 1 into 1 26.412 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 26.412 * [taylor]: Taking taylor expansion of 4.0 in x 26.412 * [backup-simplify]: Simplify 4.0 into 4.0 26.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.412 * [taylor]: Taking taylor expansion of y in x 26.412 * [backup-simplify]: Simplify y into y 26.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.412 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 26.413 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 26.413 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 26.413 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 26.413 * [taylor]: Taking taylor expansion of 4.0 in y 26.413 * [backup-simplify]: Simplify 4.0 into 4.0 26.413 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 26.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.413 * [taylor]: Taking taylor expansion of y in y 26.413 * [backup-simplify]: Simplify 0 into 0 26.413 * [backup-simplify]: Simplify 1 into 1 26.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 26.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.413 * [taylor]: Taking taylor expansion of x in y 26.413 * [backup-simplify]: Simplify x into x 26.413 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 26.413 * [taylor]: Taking taylor expansion of 4.0 in y 26.413 * [backup-simplify]: Simplify 4.0 into 4.0 26.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.413 * [taylor]: Taking taylor expansion of y in y 26.413 * [backup-simplify]: Simplify 0 into 0 26.413 * [backup-simplify]: Simplify 1 into 1 26.414 * [backup-simplify]: Simplify (* 1 1) into 1 26.414 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.414 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 26.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.414 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 26.414 * [taylor]: Taking taylor expansion of 4.0 in y 26.415 * [backup-simplify]: Simplify 4.0 into 4.0 26.415 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 26.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.415 * [taylor]: Taking taylor expansion of y in y 26.415 * [backup-simplify]: Simplify 0 into 0 26.415 * [backup-simplify]: Simplify 1 into 1 26.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 26.415 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.415 * [taylor]: Taking taylor expansion of x in y 26.415 * [backup-simplify]: Simplify x into x 26.415 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 26.415 * [taylor]: Taking taylor expansion of 4.0 in y 26.415 * [backup-simplify]: Simplify 4.0 into 4.0 26.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.415 * [taylor]: Taking taylor expansion of y in y 26.415 * [backup-simplify]: Simplify 0 into 0 26.415 * [backup-simplify]: Simplify 1 into 1 26.415 * [backup-simplify]: Simplify (* 1 1) into 1 26.416 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.416 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 26.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.416 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 26.416 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 26.416 * [taylor]: Taking taylor expansion of 4.0 in x 26.416 * [backup-simplify]: Simplify 4.0 into 4.0 26.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.416 * [taylor]: Taking taylor expansion of x in x 26.416 * [backup-simplify]: Simplify 0 into 0 26.416 * [backup-simplify]: Simplify 1 into 1 26.417 * [backup-simplify]: Simplify (* 1 1) into 1 26.417 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 26.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 26.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.425 * [backup-simplify]: Simplify 0 into 0 26.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.426 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 26.431 * [backup-simplify]: Simplify (+ 0 0) into 0 26.431 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 26.432 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 26.432 * [taylor]: Taking taylor expansion of 0 in x 26.432 * [backup-simplify]: Simplify 0 into 0 26.432 * [backup-simplify]: Simplify 0 into 0 26.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.434 * [backup-simplify]: Simplify 0 into 0 26.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.440 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 26.441 * [backup-simplify]: Simplify (* 1 1) into 1 26.441 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.441 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.442 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 26.447 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 26.447 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 26.447 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 26.447 * [taylor]: Taking taylor expansion of 16.0 in x 26.447 * [backup-simplify]: Simplify 16.0 into 16.0 26.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 26.448 * [taylor]: Taking taylor expansion of (pow x 4) in x 26.448 * [taylor]: Taking taylor expansion of x in x 26.448 * [backup-simplify]: Simplify 0 into 0 26.448 * [backup-simplify]: Simplify 1 into 1 26.448 * [backup-simplify]: Simplify (* 1 1) into 1 26.449 * [backup-simplify]: Simplify (* 1 1) into 1 26.459 * [backup-simplify]: Simplify (/ 1 1) into 1 26.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.486 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.487 * [backup-simplify]: Simplify (- 0) into 0 26.487 * [backup-simplify]: Simplify 0 into 0 26.487 * [backup-simplify]: Simplify 0 into 0 26.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.490 * [backup-simplify]: Simplify 0 into 0 26.490 * [backup-simplify]: Simplify 0 into 0 26.491 * [backup-simplify]: Simplify (* (/ (* (/ 1 y) 4.0) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) (/ (/ 1 y) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 26.491 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 26.498 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 26.498 * [taylor]: Taking taylor expansion of 4.0 in x 26.498 * [backup-simplify]: Simplify 4.0 into 4.0 26.498 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 26.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.498 * [taylor]: Taking taylor expansion of x in x 26.498 * [backup-simplify]: Simplify 0 into 0 26.498 * [backup-simplify]: Simplify 1 into 1 26.499 * [backup-simplify]: Simplify (* 1 1) into 1 26.499 * [backup-simplify]: Simplify (/ 1 1) into 1 26.499 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.499 * [taylor]: Taking taylor expansion of 4.0 in x 26.499 * [backup-simplify]: Simplify 4.0 into 4.0 26.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.499 * [taylor]: Taking taylor expansion of y in x 26.499 * [backup-simplify]: Simplify y into y 26.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.500 * [taylor]: Taking taylor expansion of y in x 26.500 * [backup-simplify]: Simplify y into y 26.500 * [backup-simplify]: Simplify (+ 1 0) into 1 26.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.500 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 26.500 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 26.500 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 26.501 * [taylor]: Taking taylor expansion of 4.0 in y 26.501 * [backup-simplify]: Simplify 4.0 into 4.0 26.501 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 26.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.501 * [taylor]: Taking taylor expansion of x in y 26.501 * [backup-simplify]: Simplify x into x 26.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.501 * [taylor]: Taking taylor expansion of 4.0 in y 26.501 * [backup-simplify]: Simplify 4.0 into 4.0 26.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.501 * [taylor]: Taking taylor expansion of y in y 26.501 * [backup-simplify]: Simplify 0 into 0 26.501 * [backup-simplify]: Simplify 1 into 1 26.502 * [backup-simplify]: Simplify (* 1 1) into 1 26.502 * [backup-simplify]: Simplify (/ 1 1) into 1 26.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.502 * [taylor]: Taking taylor expansion of y in y 26.502 * [backup-simplify]: Simplify 0 into 0 26.502 * [backup-simplify]: Simplify 1 into 1 26.503 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.503 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.504 * [backup-simplify]: Simplify (* 1 1) into 1 26.504 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.504 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 26.504 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 26.505 * [taylor]: Taking taylor expansion of 4.0 in y 26.505 * [backup-simplify]: Simplify 4.0 into 4.0 26.505 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 26.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.505 * [taylor]: Taking taylor expansion of x in y 26.505 * [backup-simplify]: Simplify x into x 26.505 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.505 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.505 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.505 * [taylor]: Taking taylor expansion of 4.0 in y 26.505 * [backup-simplify]: Simplify 4.0 into 4.0 26.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.505 * [taylor]: Taking taylor expansion of y in y 26.505 * [backup-simplify]: Simplify 0 into 0 26.505 * [backup-simplify]: Simplify 1 into 1 26.506 * [backup-simplify]: Simplify (* 1 1) into 1 26.506 * [backup-simplify]: Simplify (/ 1 1) into 1 26.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.506 * [taylor]: Taking taylor expansion of y in y 26.506 * [backup-simplify]: Simplify 0 into 0 26.506 * [backup-simplify]: Simplify 1 into 1 26.515 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.516 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.516 * [backup-simplify]: Simplify (* 1 1) into 1 26.517 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.517 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 26.518 * [taylor]: Taking taylor expansion of 1.0 in x 26.518 * [backup-simplify]: Simplify 1.0 into 1.0 26.518 * [backup-simplify]: Simplify 0 into 0 26.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.531 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.531 * [backup-simplify]: Simplify (+ 0 0) into 0 26.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.533 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 26.533 * [taylor]: Taking taylor expansion of 0 in x 26.533 * [backup-simplify]: Simplify 0 into 0 26.533 * [backup-simplify]: Simplify 0 into 0 26.533 * [backup-simplify]: Simplify 0 into 0 26.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.538 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 26.539 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 26.556 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 26.557 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 26.557 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 26.557 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 26.557 * [taylor]: Taking taylor expansion of 0.25 in x 26.557 * [backup-simplify]: Simplify 0.25 into 0.25 26.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.557 * [taylor]: Taking taylor expansion of x in x 26.557 * [backup-simplify]: Simplify 0 into 0 26.557 * [backup-simplify]: Simplify 1 into 1 26.558 * [backup-simplify]: Simplify (* 1 1) into 1 26.558 * [backup-simplify]: Simplify (/ 1 1) into 1 26.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.569 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.570 * [backup-simplify]: Simplify (- 0) into 0 26.570 * [backup-simplify]: Simplify 0 into 0 26.570 * [backup-simplify]: Simplify 0 into 0 26.570 * [backup-simplify]: Simplify 0 into 0 26.570 * [backup-simplify]: Simplify 0 into 0 26.571 * [backup-simplify]: Simplify (* (/ (* (/ 1 (- y)) 4.0) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) (/ (/ 1 (- y)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 26.571 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 26.571 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 26.571 * [taylor]: Taking taylor expansion of 4.0 in x 26.571 * [backup-simplify]: Simplify 4.0 into 4.0 26.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 26.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 26.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.571 * [taylor]: Taking taylor expansion of x in x 26.571 * [backup-simplify]: Simplify 0 into 0 26.571 * [backup-simplify]: Simplify 1 into 1 26.572 * [backup-simplify]: Simplify (* 1 1) into 1 26.572 * [backup-simplify]: Simplify (/ 1 1) into 1 26.573 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 26.573 * [taylor]: Taking taylor expansion of 4.0 in x 26.573 * [backup-simplify]: Simplify 4.0 into 4.0 26.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 26.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.573 * [taylor]: Taking taylor expansion of y in x 26.573 * [backup-simplify]: Simplify y into y 26.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.573 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 26.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 26.573 * [taylor]: Taking taylor expansion of y in x 26.573 * [backup-simplify]: Simplify y into y 26.574 * [backup-simplify]: Simplify (+ 1 0) into 1 26.574 * [backup-simplify]: Simplify (* y y) into (pow y 2) 26.574 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 26.574 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 26.574 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 26.574 * [taylor]: Taking taylor expansion of 4.0 in y 26.575 * [backup-simplify]: Simplify 4.0 into 4.0 26.575 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 26.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.575 * [taylor]: Taking taylor expansion of x in y 26.575 * [backup-simplify]: Simplify x into x 26.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.575 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.575 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.575 * [taylor]: Taking taylor expansion of 4.0 in y 26.575 * [backup-simplify]: Simplify 4.0 into 4.0 26.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.575 * [taylor]: Taking taylor expansion of y in y 26.575 * [backup-simplify]: Simplify 0 into 0 26.575 * [backup-simplify]: Simplify 1 into 1 26.576 * [backup-simplify]: Simplify (* 1 1) into 1 26.576 * [backup-simplify]: Simplify (/ 1 1) into 1 26.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.576 * [taylor]: Taking taylor expansion of y in y 26.576 * [backup-simplify]: Simplify 0 into 0 26.576 * [backup-simplify]: Simplify 1 into 1 26.577 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.577 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.577 * [backup-simplify]: Simplify (* 1 1) into 1 26.578 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.578 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 26.578 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 26.578 * [taylor]: Taking taylor expansion of 4.0 in y 26.578 * [backup-simplify]: Simplify 4.0 into 4.0 26.578 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 26.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 26.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 26.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 26.583 * [taylor]: Taking taylor expansion of x in y 26.583 * [backup-simplify]: Simplify x into x 26.583 * [backup-simplify]: Simplify (* x x) into (pow x 2) 26.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 26.583 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 26.583 * [taylor]: Taking taylor expansion of 4.0 in y 26.583 * [backup-simplify]: Simplify 4.0 into 4.0 26.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 26.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.583 * [taylor]: Taking taylor expansion of y in y 26.583 * [backup-simplify]: Simplify 0 into 0 26.583 * [backup-simplify]: Simplify 1 into 1 26.584 * [backup-simplify]: Simplify (* 1 1) into 1 26.584 * [backup-simplify]: Simplify (/ 1 1) into 1 26.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 26.584 * [taylor]: Taking taylor expansion of y in y 26.584 * [backup-simplify]: Simplify 0 into 0 26.584 * [backup-simplify]: Simplify 1 into 1 26.585 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.585 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 26.586 * [backup-simplify]: Simplify (* 1 1) into 1 26.587 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 26.587 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 26.588 * [taylor]: Taking taylor expansion of 1.0 in x 26.588 * [backup-simplify]: Simplify 1.0 into 1.0 26.588 * [backup-simplify]: Simplify 0 into 0 26.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.591 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.591 * [backup-simplify]: Simplify (+ 0 0) into 0 26.592 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 26.593 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 26.593 * [taylor]: Taking taylor expansion of 0 in x 26.593 * [backup-simplify]: Simplify 0 into 0 26.593 * [backup-simplify]: Simplify 0 into 0 26.593 * [backup-simplify]: Simplify 0 into 0 26.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.597 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 26.597 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 26.598 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 26.599 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 26.599 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 26.599 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 26.599 * [taylor]: Taking taylor expansion of 0.25 in x 26.600 * [backup-simplify]: Simplify 0.25 into 0.25 26.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 26.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 26.600 * [taylor]: Taking taylor expansion of x in x 26.600 * [backup-simplify]: Simplify 0 into 0 26.600 * [backup-simplify]: Simplify 1 into 1 26.600 * [backup-simplify]: Simplify (* 1 1) into 1 26.600 * [backup-simplify]: Simplify (/ 1 1) into 1 26.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.609 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 26.610 * [backup-simplify]: Simplify (- 0) into 0 26.610 * [backup-simplify]: Simplify 0 into 0 26.610 * [backup-simplify]: Simplify 0 into 0 26.610 * [backup-simplify]: Simplify 0 into 0 26.610 * [backup-simplify]: Simplify 0 into 0 26.612 * * * [progress]: simplifying candidates 26.692 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (log (sqrt (+ (* x x) (* (* y 4.0) y)))) (exp (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (cbrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))) (+ (- (+ (log y) (log 4.0)) (log (sqrt (+ (* x x) (* (* y 4.0) y))))) (- (log y) (log (sqrt (+ (* x x) (* (* y 4.0) y)))))) (+ (- (+ (log y) (log 4.0)) (log (sqrt (+ (* x x) (* (* y 4.0) y))))) (log (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (+ (- (log (* y 4.0)) (log (sqrt (+ (* x x) (* (* y 4.0) y))))) (- (log y) (log (sqrt (+ (* x x) (* (* y 4.0) y)))))) (+ (- (log (* y 4.0)) (log (sqrt (+ (* x x) (* (* y 4.0) y))))) (log (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (+ (log (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (- (log y) (log (sqrt (+ (* x x) (* (* y 4.0) y)))))) (+ (log (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (log (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (log (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (exp (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (/ (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (/ (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (* (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (/ (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (/ (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (* (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (* (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (* (* (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))) (* (* (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))))) (* (cbrt (* (/ (* y 4.0) (sqrt (+ 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x)))) (/ (/ (sqrt y) (cbrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (cbrt (sqrt (+ (* (* y 4.0) y) (* x x)))))) (/ (/ (* (* y 4.0) (sqrt y)) (fabs (cbrt (+ (* (* y 4.0) y) (* x x))))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (* (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (sqrt y) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x)))))) (/ (* (* y 4.0) (sqrt y)) (sqrt (+ (* (* y 4.0) y) (* x x)))) (* (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (sqrt y) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x)))))) (/ (* (* y 4.0) (sqrt y)) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (* (cbrt (sqrt (+ (* (* y 4.0) y) (* x x)))) (cbrt (sqrt (+ (* (* y 4.0) y) (* x x)))))) (/ (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (fabs (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (/ (* y 4.0) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (/ (* y 4.0) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* (* y 4.0) y) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (/ (* (* y 4.0) y) (sqrt (+ (* (* y 4.0) y) (* x x)))) (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* y 4.0) y) (* (* (* y 4.0) y) (* (* y 4.0) y)))))) (/ (/ (* (* y 4.0) y) (sqrt (+ (* (* y 4.0) y) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (/ (cbrt (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x))))) (/ (sqrt (+ (* (* y 4.0) y) (* x x))) y)) (* (sqrt (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x))))) (/ y (sqrt (+ (* (* y 4.0) y) (* x x))))) (/ (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (cbrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (/ (/ (* y 4.0) (sqrt (+ (* (* y 4.0) y) (* x x)))) (sqrt (cbrt (+ (* (* y 4.0) y) (* x x))))) (/ (/ (* y 4.0) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* y 4.0) (+ (* (* y 4.0) y) (* x x))) (/ (/ (* y 4.0) (sqrt (sqrt (+ (* (* y 4.0) y) (* x x))))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* y 4.0) (+ (* (* y 4.0) y) (* x x))) (/ (* (* y 4.0) y) (+ (* (* y 4.0) y) (* x x))) (/ (/ y (sqrt (+ (* (* y 4.0) y) (* x x)))) (sqrt (+ (* (* y 4.0) y) (* x x)))) (* (sqrt (+ (* (- (* (* y 4.0) y) (* x x)) (* (* y 4.0) y)) (* (* x x) (* x x)))) (/ y (sqrt (+ (* (* y 4.0) y) (* x x))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (+ (* (* y 4.0) y) (* x x))) y)) (/ (* (* y 4.0) y) (sqrt (+ (* (* y 4.0) y) (* x x)))) (/ (* (* y 4.0) y) (sqrt (+ (* (* y 4.0) y) (* x x)))) (* (sqrt 4.0) y) x (- x) (* (sqrt 4.0) y) x (- x) 0 0 0 0 0 0 31.997 * * * [progress]: adding candidates to table 33.385 * * [progress]: iteration 4 / 4 33.385 * * * [progress]: picking best candidate 33.406 * * * * [pick]: Picked # 33.406 * * * [progress]: localizing error 33.476 * * * [progress]: generating rewritten candidates 33.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 33.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 33.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 33.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 33.761 * * * [progress]: generating series expansions 33.761 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 33.761 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 33.761 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 33.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 33.761 * [taylor]: Taking taylor expansion of 4.0 in x 33.761 * [backup-simplify]: Simplify 4.0 into 4.0 33.761 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 33.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.762 * [taylor]: Taking taylor expansion of y in x 33.762 * [backup-simplify]: Simplify y into y 33.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 33.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.762 * [taylor]: Taking taylor expansion of x in x 33.762 * [backup-simplify]: Simplify 0 into 0 33.762 * [backup-simplify]: Simplify 1 into 1 33.762 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 33.762 * [taylor]: Taking taylor expansion of 4.0 in x 33.762 * [backup-simplify]: Simplify 4.0 into 4.0 33.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.762 * [taylor]: Taking taylor expansion of y in x 33.762 * [backup-simplify]: Simplify y into y 33.762 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.762 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.762 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 33.762 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 33.762 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 33.762 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 33.763 * [taylor]: Taking taylor expansion of 4.0 in y 33.763 * [backup-simplify]: Simplify 4.0 into 4.0 33.763 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 33.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.763 * [taylor]: Taking taylor expansion of y in y 33.763 * [backup-simplify]: Simplify 0 into 0 33.763 * [backup-simplify]: Simplify 1 into 1 33.763 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 33.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.763 * [taylor]: Taking taylor expansion of x in y 33.763 * [backup-simplify]: Simplify x into x 33.763 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 33.763 * [taylor]: Taking taylor expansion of 4.0 in y 33.763 * [backup-simplify]: Simplify 4.0 into 4.0 33.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.763 * [taylor]: Taking taylor expansion of y in y 33.763 * [backup-simplify]: Simplify 0 into 0 33.763 * [backup-simplify]: Simplify 1 into 1 33.764 * [backup-simplify]: Simplify (* 1 1) into 1 33.764 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.764 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 33.764 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.764 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 33.764 * [taylor]: Taking taylor expansion of 4.0 in y 33.764 * [backup-simplify]: Simplify 4.0 into 4.0 33.764 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 33.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.764 * [taylor]: Taking taylor expansion of y in y 33.764 * [backup-simplify]: Simplify 0 into 0 33.764 * [backup-simplify]: Simplify 1 into 1 33.764 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 33.765 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.765 * [taylor]: Taking taylor expansion of x in y 33.765 * [backup-simplify]: Simplify x into x 33.765 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 33.765 * [taylor]: Taking taylor expansion of 4.0 in y 33.765 * [backup-simplify]: Simplify 4.0 into 4.0 33.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.765 * [taylor]: Taking taylor expansion of y in y 33.765 * [backup-simplify]: Simplify 0 into 0 33.765 * [backup-simplify]: Simplify 1 into 1 33.765 * [backup-simplify]: Simplify (* 1 1) into 1 33.765 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.766 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 33.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.766 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 33.766 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 33.766 * [taylor]: Taking taylor expansion of 4.0 in x 33.766 * [backup-simplify]: Simplify 4.0 into 4.0 33.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.766 * [taylor]: Taking taylor expansion of x in x 33.766 * [backup-simplify]: Simplify 0 into 0 33.766 * [backup-simplify]: Simplify 1 into 1 33.767 * [backup-simplify]: Simplify (* 1 1) into 1 33.767 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 33.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 33.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.771 * [backup-simplify]: Simplify 0 into 0 33.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.771 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 33.772 * [backup-simplify]: Simplify (+ 0 0) into 0 33.772 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 33.773 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 33.773 * [taylor]: Taking taylor expansion of 0 in x 33.773 * [backup-simplify]: Simplify 0 into 0 33.773 * [backup-simplify]: Simplify 0 into 0 33.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.776 * [backup-simplify]: Simplify 0 into 0 33.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.777 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 33.777 * [backup-simplify]: Simplify (* 1 1) into 1 33.778 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.778 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.779 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 33.780 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 33.781 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 33.781 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 33.781 * [taylor]: Taking taylor expansion of 16.0 in x 33.781 * [backup-simplify]: Simplify 16.0 into 16.0 33.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 33.781 * [taylor]: Taking taylor expansion of (pow x 4) in x 33.781 * [taylor]: Taking taylor expansion of x in x 33.781 * [backup-simplify]: Simplify 0 into 0 33.781 * [backup-simplify]: Simplify 1 into 1 33.782 * [backup-simplify]: Simplify (* 1 1) into 1 33.782 * [backup-simplify]: Simplify (* 1 1) into 1 33.782 * [backup-simplify]: Simplify (/ 1 1) into 1 33.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.794 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.795 * [backup-simplify]: Simplify (- 0) into 0 33.795 * [backup-simplify]: Simplify 0 into 0 33.795 * [backup-simplify]: Simplify 0 into 0 33.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.797 * [backup-simplify]: Simplify 0 into 0 33.797 * [backup-simplify]: Simplify 0 into 0 33.798 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 33.798 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 33.798 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 33.798 * [taylor]: Taking taylor expansion of 4.0 in x 33.798 * [backup-simplify]: Simplify 4.0 into 4.0 33.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 33.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 33.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.798 * [taylor]: Taking taylor expansion of x in x 33.798 * [backup-simplify]: Simplify 0 into 0 33.798 * [backup-simplify]: Simplify 1 into 1 33.798 * [backup-simplify]: Simplify (* 1 1) into 1 33.799 * [backup-simplify]: Simplify (/ 1 1) into 1 33.799 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 33.799 * [taylor]: Taking taylor expansion of 4.0 in x 33.799 * [backup-simplify]: Simplify 4.0 into 4.0 33.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 33.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.799 * [taylor]: Taking taylor expansion of y in x 33.799 * [backup-simplify]: Simplify y into y 33.799 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.799 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 33.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.799 * [taylor]: Taking taylor expansion of y in x 33.799 * [backup-simplify]: Simplify y into y 33.800 * [backup-simplify]: Simplify (+ 1 0) into 1 33.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.800 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 33.800 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 33.800 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 33.800 * [taylor]: Taking taylor expansion of 4.0 in y 33.800 * [backup-simplify]: Simplify 4.0 into 4.0 33.800 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 33.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 33.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 33.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.800 * [taylor]: Taking taylor expansion of x in y 33.801 * [backup-simplify]: Simplify x into x 33.801 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.801 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.801 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.801 * [taylor]: Taking taylor expansion of 4.0 in y 33.801 * [backup-simplify]: Simplify 4.0 into 4.0 33.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.801 * [taylor]: Taking taylor expansion of y in y 33.801 * [backup-simplify]: Simplify 0 into 0 33.801 * [backup-simplify]: Simplify 1 into 1 33.801 * [backup-simplify]: Simplify (* 1 1) into 1 33.802 * [backup-simplify]: Simplify (/ 1 1) into 1 33.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.802 * [taylor]: Taking taylor expansion of y in y 33.802 * [backup-simplify]: Simplify 0 into 0 33.802 * [backup-simplify]: Simplify 1 into 1 33.802 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.803 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.803 * [backup-simplify]: Simplify (* 1 1) into 1 33.804 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.804 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 33.804 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 33.804 * [taylor]: Taking taylor expansion of 4.0 in y 33.804 * [backup-simplify]: Simplify 4.0 into 4.0 33.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 33.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 33.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 33.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.804 * [taylor]: Taking taylor expansion of x in y 33.804 * [backup-simplify]: Simplify x into x 33.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.805 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.805 * [taylor]: Taking taylor expansion of 4.0 in y 33.805 * [backup-simplify]: Simplify 4.0 into 4.0 33.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.805 * [taylor]: Taking taylor expansion of y in y 33.805 * [backup-simplify]: Simplify 0 into 0 33.805 * [backup-simplify]: Simplify 1 into 1 33.805 * [backup-simplify]: Simplify (* 1 1) into 1 33.805 * [backup-simplify]: Simplify (/ 1 1) into 1 33.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.806 * [taylor]: Taking taylor expansion of y in y 33.806 * [backup-simplify]: Simplify 0 into 0 33.806 * [backup-simplify]: Simplify 1 into 1 33.806 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.806 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.807 * [backup-simplify]: Simplify (* 1 1) into 1 33.807 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.808 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 33.808 * [taylor]: Taking taylor expansion of 1.0 in x 33.808 * [backup-simplify]: Simplify 1.0 into 1.0 33.808 * [backup-simplify]: Simplify 0 into 0 33.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.811 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 33.811 * [backup-simplify]: Simplify (+ 0 0) into 0 33.812 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 33.813 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 33.813 * [taylor]: Taking taylor expansion of 0 in x 33.813 * [backup-simplify]: Simplify 0 into 0 33.813 * [backup-simplify]: Simplify 0 into 0 33.813 * [backup-simplify]: Simplify 0 into 0 33.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.870 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 33.878 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 33.881 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 33.884 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 33.884 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 33.884 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 33.884 * [taylor]: Taking taylor expansion of 0.25 in x 33.884 * [backup-simplify]: Simplify 0.25 into 0.25 33.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.884 * [taylor]: Taking taylor expansion of x in x 33.884 * [backup-simplify]: Simplify 0 into 0 33.884 * [backup-simplify]: Simplify 1 into 1 33.885 * [backup-simplify]: Simplify (* 1 1) into 1 33.885 * [backup-simplify]: Simplify (/ 1 1) into 1 33.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.893 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.893 * [backup-simplify]: Simplify (- 0) into 0 33.893 * [backup-simplify]: Simplify 0 into 0 33.893 * [backup-simplify]: Simplify 0 into 0 33.893 * [backup-simplify]: Simplify 0 into 0 33.893 * [backup-simplify]: Simplify 0 into 0 33.894 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 33.894 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 33.894 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 33.894 * [taylor]: Taking taylor expansion of 4.0 in x 33.894 * [backup-simplify]: Simplify 4.0 into 4.0 33.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 33.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 33.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.895 * [taylor]: Taking taylor expansion of x in x 33.895 * [backup-simplify]: Simplify 0 into 0 33.895 * [backup-simplify]: Simplify 1 into 1 33.895 * [backup-simplify]: Simplify (* 1 1) into 1 33.896 * [backup-simplify]: Simplify (/ 1 1) into 1 33.896 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 33.896 * [taylor]: Taking taylor expansion of 4.0 in x 33.896 * [backup-simplify]: Simplify 4.0 into 4.0 33.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 33.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.896 * [taylor]: Taking taylor expansion of y in x 33.896 * [backup-simplify]: Simplify y into y 33.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 33.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.896 * [taylor]: Taking taylor expansion of y in x 33.896 * [backup-simplify]: Simplify y into y 33.902 * [backup-simplify]: Simplify (+ 1 0) into 1 33.902 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.902 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 33.902 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 33.902 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 33.902 * [taylor]: Taking taylor expansion of 4.0 in y 33.902 * [backup-simplify]: Simplify 4.0 into 4.0 33.902 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 33.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 33.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 33.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.903 * [taylor]: Taking taylor expansion of x in y 33.903 * [backup-simplify]: Simplify x into x 33.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.903 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.903 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.903 * [taylor]: Taking taylor expansion of 4.0 in y 33.903 * [backup-simplify]: Simplify 4.0 into 4.0 33.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.903 * [taylor]: Taking taylor expansion of y in y 33.903 * [backup-simplify]: Simplify 0 into 0 33.903 * [backup-simplify]: Simplify 1 into 1 33.904 * [backup-simplify]: Simplify (* 1 1) into 1 33.904 * [backup-simplify]: Simplify (/ 1 1) into 1 33.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.904 * [taylor]: Taking taylor expansion of y in y 33.904 * [backup-simplify]: Simplify 0 into 0 33.904 * [backup-simplify]: Simplify 1 into 1 33.905 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.905 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.905 * [backup-simplify]: Simplify (* 1 1) into 1 33.906 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.906 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 33.906 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 33.906 * [taylor]: Taking taylor expansion of 4.0 in y 33.906 * [backup-simplify]: Simplify 4.0 into 4.0 33.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 33.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 33.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 33.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.907 * [taylor]: Taking taylor expansion of x in y 33.907 * [backup-simplify]: Simplify x into x 33.907 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.907 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.907 * [taylor]: Taking taylor expansion of 4.0 in y 33.907 * [backup-simplify]: Simplify 4.0 into 4.0 33.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.907 * [taylor]: Taking taylor expansion of y in y 33.907 * [backup-simplify]: Simplify 0 into 0 33.907 * [backup-simplify]: Simplify 1 into 1 33.908 * [backup-simplify]: Simplify (* 1 1) into 1 33.908 * [backup-simplify]: Simplify (/ 1 1) into 1 33.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.908 * [taylor]: Taking taylor expansion of y in y 33.908 * [backup-simplify]: Simplify 0 into 0 33.908 * [backup-simplify]: Simplify 1 into 1 33.909 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.909 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.910 * [backup-simplify]: Simplify (* 1 1) into 1 33.910 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.911 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 33.911 * [taylor]: Taking taylor expansion of 1.0 in x 33.911 * [backup-simplify]: Simplify 1.0 into 1.0 33.911 * [backup-simplify]: Simplify 0 into 0 33.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.915 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 33.915 * [backup-simplify]: Simplify (+ 0 0) into 0 33.923 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 33.924 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 33.925 * [taylor]: Taking taylor expansion of 0 in x 33.925 * [backup-simplify]: Simplify 0 into 0 33.925 * [backup-simplify]: Simplify 0 into 0 33.925 * [backup-simplify]: Simplify 0 into 0 33.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.929 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 33.929 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 33.930 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 33.932 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 33.932 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 33.932 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 33.932 * [taylor]: Taking taylor expansion of 0.25 in x 33.932 * [backup-simplify]: Simplify 0.25 into 0.25 33.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.932 * [taylor]: Taking taylor expansion of x in x 33.932 * [backup-simplify]: Simplify 0 into 0 33.932 * [backup-simplify]: Simplify 1 into 1 33.932 * [backup-simplify]: Simplify (* 1 1) into 1 33.933 * [backup-simplify]: Simplify (/ 1 1) into 1 33.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.942 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.942 * [backup-simplify]: Simplify (- 0) into 0 33.942 * [backup-simplify]: Simplify 0 into 0 33.942 * [backup-simplify]: Simplify 0 into 0 33.942 * [backup-simplify]: Simplify 0 into 0 33.943 * [backup-simplify]: Simplify 0 into 0 33.943 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 33.943 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 33.943 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 33.943 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 33.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.943 * [taylor]: Taking taylor expansion of x in y 33.943 * [backup-simplify]: Simplify x into x 33.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 33.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.943 * [taylor]: Taking taylor expansion of x in y 33.943 * [backup-simplify]: Simplify x into x 33.943 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 33.943 * [taylor]: Taking taylor expansion of 4.0 in y 33.943 * [backup-simplify]: Simplify 4.0 into 4.0 33.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.944 * [taylor]: Taking taylor expansion of y in y 33.944 * [backup-simplify]: Simplify 0 into 0 33.944 * [backup-simplify]: Simplify 1 into 1 33.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.944 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 33.944 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 33.944 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 33.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.944 * [taylor]: Taking taylor expansion of x in x 33.944 * [backup-simplify]: Simplify 0 into 0 33.944 * [backup-simplify]: Simplify 1 into 1 33.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 33.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.944 * [taylor]: Taking taylor expansion of x in x 33.944 * [backup-simplify]: Simplify 0 into 0 33.944 * [backup-simplify]: Simplify 1 into 1 33.945 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 33.945 * [taylor]: Taking taylor expansion of 4.0 in x 33.945 * [backup-simplify]: Simplify 4.0 into 4.0 33.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.945 * [taylor]: Taking taylor expansion of y in x 33.945 * [backup-simplify]: Simplify y into y 33.945 * [backup-simplify]: Simplify (* 1 1) into 1 33.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.945 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 33.946 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 33.946 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 33.946 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 33.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.946 * [taylor]: Taking taylor expansion of x in x 33.946 * [backup-simplify]: Simplify 0 into 0 33.946 * [backup-simplify]: Simplify 1 into 1 33.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 33.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.946 * [taylor]: Taking taylor expansion of x in x 33.946 * [backup-simplify]: Simplify 0 into 0 33.946 * [backup-simplify]: Simplify 1 into 1 33.946 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 33.946 * [taylor]: Taking taylor expansion of 4.0 in x 33.946 * [backup-simplify]: Simplify 4.0 into 4.0 33.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.946 * [taylor]: Taking taylor expansion of y in x 33.946 * [backup-simplify]: Simplify y into y 33.947 * [backup-simplify]: Simplify (* 1 1) into 1 33.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.947 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 33.947 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 33.947 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 33.948 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 33.948 * [taylor]: Taking taylor expansion of 0.25 in y 33.948 * [backup-simplify]: Simplify 0.25 into 0.25 33.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.948 * [taylor]: Taking taylor expansion of y in y 33.948 * [backup-simplify]: Simplify 0 into 0 33.948 * [backup-simplify]: Simplify 1 into 1 33.948 * [backup-simplify]: Simplify (* 1 1) into 1 33.949 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 33.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 33.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.952 * [backup-simplify]: Simplify 0 into 0 33.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 33.954 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 33.954 * [backup-simplify]: Simplify (+ 0 0) into 0 33.955 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 33.955 * [taylor]: Taking taylor expansion of 0 in y 33.955 * [backup-simplify]: Simplify 0 into 0 33.955 * [backup-simplify]: Simplify 0 into 0 33.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.957 * [backup-simplify]: Simplify 0 into 0 33.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.958 * [backup-simplify]: Simplify (* 1 1) into 1 33.959 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 33.960 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 33.960 * [backup-simplify]: Simplify (+ 1 0) into 1 33.961 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 33.961 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 33.961 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 33.961 * [taylor]: Taking taylor expansion of 0.0625 in y 33.961 * [backup-simplify]: Simplify 0.0625 into 0.0625 33.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 33.961 * [taylor]: Taking taylor expansion of (pow y 4) in y 33.961 * [taylor]: Taking taylor expansion of y in y 33.961 * [backup-simplify]: Simplify 0 into 0 33.961 * [backup-simplify]: Simplify 1 into 1 33.962 * [backup-simplify]: Simplify (* 1 1) into 1 33.962 * [backup-simplify]: Simplify (* 1 1) into 1 33.962 * [backup-simplify]: Simplify (/ 1 1) into 1 33.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.974 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.975 * [backup-simplify]: Simplify (- 0) into 0 33.975 * [backup-simplify]: Simplify 0 into 0 33.975 * [backup-simplify]: Simplify 0 into 0 33.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.978 * [backup-simplify]: Simplify 0 into 0 33.978 * [backup-simplify]: Simplify 0 into 0 33.978 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 33.978 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 33.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 33.979 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 33.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.979 * [taylor]: Taking taylor expansion of x in y 33.979 * [backup-simplify]: Simplify x into x 33.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 33.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 33.979 * [taylor]: Taking taylor expansion of (pow x 2) in y 33.979 * [taylor]: Taking taylor expansion of x in y 33.979 * [backup-simplify]: Simplify x into x 33.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.979 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.979 * [taylor]: Taking taylor expansion of 4.0 in y 33.979 * [backup-simplify]: Simplify 4.0 into 4.0 33.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.979 * [taylor]: Taking taylor expansion of y in y 33.979 * [backup-simplify]: Simplify 0 into 0 33.979 * [backup-simplify]: Simplify 1 into 1 33.980 * [backup-simplify]: Simplify (* 1 1) into 1 33.980 * [backup-simplify]: Simplify (/ 1 1) into 1 33.980 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.981 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 33.981 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 33.982 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 33.982 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 33.982 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 33.982 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 33.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.982 * [taylor]: Taking taylor expansion of x in x 33.982 * [backup-simplify]: Simplify 0 into 0 33.982 * [backup-simplify]: Simplify 1 into 1 33.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 33.982 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.982 * [taylor]: Taking taylor expansion of x in x 33.982 * [backup-simplify]: Simplify 0 into 0 33.982 * [backup-simplify]: Simplify 1 into 1 33.983 * [backup-simplify]: Simplify (* 1 1) into 1 33.983 * [backup-simplify]: Simplify (/ 1 1) into 1 33.983 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 33.983 * [taylor]: Taking taylor expansion of 4.0 in x 33.983 * [backup-simplify]: Simplify 4.0 into 4.0 33.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 33.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.983 * [taylor]: Taking taylor expansion of y in x 33.983 * [backup-simplify]: Simplify y into y 33.983 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.984 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 33.984 * [backup-simplify]: Simplify (* 1 1) into 1 33.984 * [backup-simplify]: Simplify (+ 1 0) into 1 33.985 * [backup-simplify]: Simplify (* 1 1) into 1 33.985 * [backup-simplify]: Simplify (/ 1 1) into 1 33.985 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 33.985 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 33.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.985 * [taylor]: Taking taylor expansion of x in x 33.985 * [backup-simplify]: Simplify 0 into 0 33.985 * [backup-simplify]: Simplify 1 into 1 33.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 33.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.985 * [taylor]: Taking taylor expansion of x in x 33.985 * [backup-simplify]: Simplify 0 into 0 33.985 * [backup-simplify]: Simplify 1 into 1 33.986 * [backup-simplify]: Simplify (* 1 1) into 1 33.986 * [backup-simplify]: Simplify (/ 1 1) into 1 33.986 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 33.986 * [taylor]: Taking taylor expansion of 4.0 in x 33.986 * [backup-simplify]: Simplify 4.0 into 4.0 33.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 33.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 33.986 * [taylor]: Taking taylor expansion of y in x 33.986 * [backup-simplify]: Simplify y into y 33.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 33.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 33.987 * [backup-simplify]: Simplify (* 1 1) into 1 33.988 * [backup-simplify]: Simplify (+ 1 0) into 1 33.988 * [backup-simplify]: Simplify (* 1 1) into 1 33.988 * [backup-simplify]: Simplify (/ 1 1) into 1 33.989 * [taylor]: Taking taylor expansion of 1 in y 33.989 * [backup-simplify]: Simplify 1 into 1 33.989 * [backup-simplify]: Simplify 0 into 0 33.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.990 * [backup-simplify]: Simplify (+ 0 0) into 0 33.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.992 * [taylor]: Taking taylor expansion of 0 in y 33.992 * [backup-simplify]: Simplify 0 into 0 33.993 * [backup-simplify]: Simplify 0 into 0 33.993 * [backup-simplify]: Simplify 0 into 0 33.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.994 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 33.995 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 33.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.996 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 33.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 33.997 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 33.997 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 33.997 * [taylor]: Taking taylor expansion of 4.0 in y 33.997 * [backup-simplify]: Simplify 4.0 into 4.0 33.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 33.997 * [taylor]: Taking taylor expansion of (pow y 2) in y 33.997 * [taylor]: Taking taylor expansion of y in y 33.997 * [backup-simplify]: Simplify 0 into 0 33.997 * [backup-simplify]: Simplify 1 into 1 33.998 * [backup-simplify]: Simplify (* 1 1) into 1 33.998 * [backup-simplify]: Simplify (/ 1 1) into 1 33.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.006 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.006 * [backup-simplify]: Simplify (- 0) into 0 34.006 * [backup-simplify]: Simplify 0 into 0 34.007 * [backup-simplify]: Simplify 0 into 0 34.007 * [backup-simplify]: Simplify 0 into 0 34.007 * [backup-simplify]: Simplify 0 into 0 34.007 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 34.007 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 34.007 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 34.007 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 34.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.007 * [taylor]: Taking taylor expansion of x in y 34.007 * [backup-simplify]: Simplify x into x 34.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 34.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 34.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.008 * [taylor]: Taking taylor expansion of x in y 34.008 * [backup-simplify]: Simplify x into x 34.008 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.008 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.008 * [taylor]: Taking taylor expansion of 4.0 in y 34.008 * [backup-simplify]: Simplify 4.0 into 4.0 34.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.008 * [taylor]: Taking taylor expansion of y in y 34.008 * [backup-simplify]: Simplify 0 into 0 34.008 * [backup-simplify]: Simplify 1 into 1 34.008 * [backup-simplify]: Simplify (* 1 1) into 1 34.009 * [backup-simplify]: Simplify (/ 1 1) into 1 34.009 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.009 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 34.010 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 34.010 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 34.010 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 34.010 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.010 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.010 * [taylor]: Taking taylor expansion of x in x 34.010 * [backup-simplify]: Simplify 0 into 0 34.010 * [backup-simplify]: Simplify 1 into 1 34.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.010 * [taylor]: Taking taylor expansion of x in x 34.010 * [backup-simplify]: Simplify 0 into 0 34.010 * [backup-simplify]: Simplify 1 into 1 34.011 * [backup-simplify]: Simplify (* 1 1) into 1 34.011 * [backup-simplify]: Simplify (/ 1 1) into 1 34.011 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.011 * [taylor]: Taking taylor expansion of 4.0 in x 34.011 * [backup-simplify]: Simplify 4.0 into 4.0 34.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.011 * [taylor]: Taking taylor expansion of y in x 34.011 * [backup-simplify]: Simplify y into y 34.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.012 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.012 * [backup-simplify]: Simplify (* 1 1) into 1 34.012 * [backup-simplify]: Simplify (+ 1 0) into 1 34.013 * [backup-simplify]: Simplify (* 1 1) into 1 34.013 * [backup-simplify]: Simplify (/ 1 1) into 1 34.013 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.013 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.013 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.013 * [taylor]: Taking taylor expansion of x in x 34.013 * [backup-simplify]: Simplify 0 into 0 34.013 * [backup-simplify]: Simplify 1 into 1 34.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.014 * [taylor]: Taking taylor expansion of x in x 34.014 * [backup-simplify]: Simplify 0 into 0 34.014 * [backup-simplify]: Simplify 1 into 1 34.014 * [backup-simplify]: Simplify (* 1 1) into 1 34.014 * [backup-simplify]: Simplify (/ 1 1) into 1 34.014 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.014 * [taylor]: Taking taylor expansion of 4.0 in x 34.014 * [backup-simplify]: Simplify 4.0 into 4.0 34.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.015 * [taylor]: Taking taylor expansion of y in x 34.015 * [backup-simplify]: Simplify y into y 34.015 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.015 * [backup-simplify]: Simplify (* 1 1) into 1 34.016 * [backup-simplify]: Simplify (+ 1 0) into 1 34.016 * [backup-simplify]: Simplify (* 1 1) into 1 34.016 * [backup-simplify]: Simplify (/ 1 1) into 1 34.017 * [taylor]: Taking taylor expansion of 1 in y 34.017 * [backup-simplify]: Simplify 1 into 1 34.017 * [backup-simplify]: Simplify 0 into 0 34.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.018 * [backup-simplify]: Simplify (+ 0 0) into 0 34.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.020 * [taylor]: Taking taylor expansion of 0 in y 34.020 * [backup-simplify]: Simplify 0 into 0 34.020 * [backup-simplify]: Simplify 0 into 0 34.021 * [backup-simplify]: Simplify 0 into 0 34.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.023 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 34.023 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 34.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.025 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 34.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 34.026 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 34.026 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.026 * [taylor]: Taking taylor expansion of 4.0 in y 34.026 * [backup-simplify]: Simplify 4.0 into 4.0 34.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.026 * [taylor]: Taking taylor expansion of y in y 34.026 * [backup-simplify]: Simplify 0 into 0 34.026 * [backup-simplify]: Simplify 1 into 1 34.026 * [backup-simplify]: Simplify (* 1 1) into 1 34.027 * [backup-simplify]: Simplify (/ 1 1) into 1 34.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.035 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.035 * [backup-simplify]: Simplify (- 0) into 0 34.035 * [backup-simplify]: Simplify 0 into 0 34.036 * [backup-simplify]: Simplify 0 into 0 34.036 * [backup-simplify]: Simplify 0 into 0 34.036 * [backup-simplify]: Simplify 0 into 0 34.036 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 34.036 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 34.036 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 34.036 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 34.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.036 * [taylor]: Taking taylor expansion of x in y 34.036 * [backup-simplify]: Simplify x into x 34.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 34.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.036 * [taylor]: Taking taylor expansion of x in y 34.036 * [backup-simplify]: Simplify x into x 34.036 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 34.036 * [taylor]: Taking taylor expansion of 4.0 in y 34.036 * [backup-simplify]: Simplify 4.0 into 4.0 34.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.036 * [taylor]: Taking taylor expansion of y in y 34.037 * [backup-simplify]: Simplify 0 into 0 34.037 * [backup-simplify]: Simplify 1 into 1 34.037 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.037 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.037 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 34.037 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 34.037 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 34.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.037 * [taylor]: Taking taylor expansion of x in x 34.037 * [backup-simplify]: Simplify 0 into 0 34.037 * [backup-simplify]: Simplify 1 into 1 34.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 34.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.037 * [taylor]: Taking taylor expansion of x in x 34.037 * [backup-simplify]: Simplify 0 into 0 34.037 * [backup-simplify]: Simplify 1 into 1 34.037 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 34.037 * [taylor]: Taking taylor expansion of 4.0 in x 34.037 * [backup-simplify]: Simplify 4.0 into 4.0 34.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.038 * [taylor]: Taking taylor expansion of y in x 34.038 * [backup-simplify]: Simplify y into y 34.038 * [backup-simplify]: Simplify (* 1 1) into 1 34.038 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.038 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 34.038 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 34.039 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 34.039 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 34.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.039 * [taylor]: Taking taylor expansion of x in x 34.039 * [backup-simplify]: Simplify 0 into 0 34.039 * [backup-simplify]: Simplify 1 into 1 34.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 34.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.039 * [taylor]: Taking taylor expansion of x in x 34.039 * [backup-simplify]: Simplify 0 into 0 34.039 * [backup-simplify]: Simplify 1 into 1 34.039 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 34.039 * [taylor]: Taking taylor expansion of 4.0 in x 34.039 * [backup-simplify]: Simplify 4.0 into 4.0 34.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.039 * [taylor]: Taking taylor expansion of y in x 34.039 * [backup-simplify]: Simplify y into y 34.040 * [backup-simplify]: Simplify (* 1 1) into 1 34.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.040 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 34.040 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 34.040 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 34.040 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 34.040 * [taylor]: Taking taylor expansion of 0.25 in y 34.040 * [backup-simplify]: Simplify 0.25 into 0.25 34.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.040 * [taylor]: Taking taylor expansion of y in y 34.040 * [backup-simplify]: Simplify 0 into 0 34.041 * [backup-simplify]: Simplify 1 into 1 34.041 * [backup-simplify]: Simplify (* 1 1) into 1 34.041 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 34.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 34.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.045 * [backup-simplify]: Simplify 0 into 0 34.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 34.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 34.046 * [backup-simplify]: Simplify (+ 0 0) into 0 34.047 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 34.047 * [taylor]: Taking taylor expansion of 0 in y 34.047 * [backup-simplify]: Simplify 0 into 0 34.047 * [backup-simplify]: Simplify 0 into 0 34.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.068 * [backup-simplify]: Simplify 0 into 0 34.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.069 * [backup-simplify]: Simplify (* 1 1) into 1 34.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 34.071 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 34.071 * [backup-simplify]: Simplify (+ 1 0) into 1 34.072 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 34.072 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 34.072 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 34.072 * [taylor]: Taking taylor expansion of 0.0625 in y 34.072 * [backup-simplify]: Simplify 0.0625 into 0.0625 34.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 34.072 * [taylor]: Taking taylor expansion of (pow y 4) in y 34.072 * [taylor]: Taking taylor expansion of y in y 34.072 * [backup-simplify]: Simplify 0 into 0 34.072 * [backup-simplify]: Simplify 1 into 1 34.073 * [backup-simplify]: Simplify (* 1 1) into 1 34.073 * [backup-simplify]: Simplify (* 1 1) into 1 34.074 * [backup-simplify]: Simplify (/ 1 1) into 1 34.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.091 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.092 * [backup-simplify]: Simplify (- 0) into 0 34.092 * [backup-simplify]: Simplify 0 into 0 34.092 * [backup-simplify]: Simplify 0 into 0 34.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.094 * [backup-simplify]: Simplify 0 into 0 34.094 * [backup-simplify]: Simplify 0 into 0 34.095 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 34.095 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 34.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 34.095 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 34.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.095 * [taylor]: Taking taylor expansion of x in y 34.095 * [backup-simplify]: Simplify x into x 34.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 34.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 34.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.095 * [taylor]: Taking taylor expansion of x in y 34.095 * [backup-simplify]: Simplify x into x 34.095 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.095 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.095 * [taylor]: Taking taylor expansion of 4.0 in y 34.095 * [backup-simplify]: Simplify 4.0 into 4.0 34.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.095 * [taylor]: Taking taylor expansion of y in y 34.096 * [backup-simplify]: Simplify 0 into 0 34.096 * [backup-simplify]: Simplify 1 into 1 34.096 * [backup-simplify]: Simplify (* 1 1) into 1 34.097 * [backup-simplify]: Simplify (/ 1 1) into 1 34.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.097 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 34.098 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 34.098 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 34.098 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 34.098 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.098 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.098 * [taylor]: Taking taylor expansion of x in x 34.098 * [backup-simplify]: Simplify 0 into 0 34.098 * [backup-simplify]: Simplify 1 into 1 34.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.098 * [taylor]: Taking taylor expansion of x in x 34.098 * [backup-simplify]: Simplify 0 into 0 34.098 * [backup-simplify]: Simplify 1 into 1 34.099 * [backup-simplify]: Simplify (* 1 1) into 1 34.099 * [backup-simplify]: Simplify (/ 1 1) into 1 34.099 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.099 * [taylor]: Taking taylor expansion of 4.0 in x 34.099 * [backup-simplify]: Simplify 4.0 into 4.0 34.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.100 * [taylor]: Taking taylor expansion of y in x 34.100 * [backup-simplify]: Simplify y into y 34.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.100 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.101 * [backup-simplify]: Simplify (* 1 1) into 1 34.101 * [backup-simplify]: Simplify (+ 1 0) into 1 34.102 * [backup-simplify]: Simplify (* 1 1) into 1 34.102 * [backup-simplify]: Simplify (/ 1 1) into 1 34.102 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.102 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.102 * [taylor]: Taking taylor expansion of x in x 34.102 * [backup-simplify]: Simplify 0 into 0 34.102 * [backup-simplify]: Simplify 1 into 1 34.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.102 * [taylor]: Taking taylor expansion of x in x 34.102 * [backup-simplify]: Simplify 0 into 0 34.102 * [backup-simplify]: Simplify 1 into 1 34.103 * [backup-simplify]: Simplify (* 1 1) into 1 34.103 * [backup-simplify]: Simplify (/ 1 1) into 1 34.103 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.103 * [taylor]: Taking taylor expansion of 4.0 in x 34.103 * [backup-simplify]: Simplify 4.0 into 4.0 34.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.103 * [taylor]: Taking taylor expansion of y in x 34.103 * [backup-simplify]: Simplify y into y 34.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.104 * [backup-simplify]: Simplify (* 1 1) into 1 34.105 * [backup-simplify]: Simplify (+ 1 0) into 1 34.105 * [backup-simplify]: Simplify (* 1 1) into 1 34.105 * [backup-simplify]: Simplify (/ 1 1) into 1 34.105 * [taylor]: Taking taylor expansion of 1 in y 34.105 * [backup-simplify]: Simplify 1 into 1 34.105 * [backup-simplify]: Simplify 0 into 0 34.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.107 * [backup-simplify]: Simplify (+ 0 0) into 0 34.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.109 * [taylor]: Taking taylor expansion of 0 in y 34.109 * [backup-simplify]: Simplify 0 into 0 34.109 * [backup-simplify]: Simplify 0 into 0 34.109 * [backup-simplify]: Simplify 0 into 0 34.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.112 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 34.112 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 34.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.114 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 34.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 34.115 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 34.115 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.115 * [taylor]: Taking taylor expansion of 4.0 in y 34.115 * [backup-simplify]: Simplify 4.0 into 4.0 34.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.115 * [taylor]: Taking taylor expansion of y in y 34.115 * [backup-simplify]: Simplify 0 into 0 34.115 * [backup-simplify]: Simplify 1 into 1 34.115 * [backup-simplify]: Simplify (* 1 1) into 1 34.116 * [backup-simplify]: Simplify (/ 1 1) into 1 34.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.126 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.127 * [backup-simplify]: Simplify (- 0) into 0 34.127 * [backup-simplify]: Simplify 0 into 0 34.127 * [backup-simplify]: Simplify 0 into 0 34.127 * [backup-simplify]: Simplify 0 into 0 34.127 * [backup-simplify]: Simplify 0 into 0 34.128 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 34.128 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 34.128 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 34.128 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 34.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.128 * [taylor]: Taking taylor expansion of x in y 34.128 * [backup-simplify]: Simplify x into x 34.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 34.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 34.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.129 * [taylor]: Taking taylor expansion of x in y 34.129 * [backup-simplify]: Simplify x into x 34.129 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.129 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.129 * [taylor]: Taking taylor expansion of 4.0 in y 34.129 * [backup-simplify]: Simplify 4.0 into 4.0 34.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.129 * [taylor]: Taking taylor expansion of y in y 34.129 * [backup-simplify]: Simplify 0 into 0 34.129 * [backup-simplify]: Simplify 1 into 1 34.130 * [backup-simplify]: Simplify (* 1 1) into 1 34.130 * [backup-simplify]: Simplify (/ 1 1) into 1 34.130 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.131 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 34.132 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 34.132 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 34.132 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 34.132 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.132 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.132 * [taylor]: Taking taylor expansion of x in x 34.132 * [backup-simplify]: Simplify 0 into 0 34.132 * [backup-simplify]: Simplify 1 into 1 34.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.133 * [taylor]: Taking taylor expansion of x in x 34.133 * [backup-simplify]: Simplify 0 into 0 34.133 * [backup-simplify]: Simplify 1 into 1 34.134 * [backup-simplify]: Simplify (* 1 1) into 1 34.135 * [backup-simplify]: Simplify (/ 1 1) into 1 34.135 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.135 * [taylor]: Taking taylor expansion of 4.0 in x 34.135 * [backup-simplify]: Simplify 4.0 into 4.0 34.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.135 * [taylor]: Taking taylor expansion of y in x 34.135 * [backup-simplify]: Simplify y into y 34.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.136 * [backup-simplify]: Simplify (* 1 1) into 1 34.136 * [backup-simplify]: Simplify (+ 1 0) into 1 34.136 * [backup-simplify]: Simplify (* 1 1) into 1 34.137 * [backup-simplify]: Simplify (/ 1 1) into 1 34.137 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.137 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.137 * [taylor]: Taking taylor expansion of x in x 34.137 * [backup-simplify]: Simplify 0 into 0 34.137 * [backup-simplify]: Simplify 1 into 1 34.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.137 * [taylor]: Taking taylor expansion of x in x 34.137 * [backup-simplify]: Simplify 0 into 0 34.137 * [backup-simplify]: Simplify 1 into 1 34.138 * [backup-simplify]: Simplify (* 1 1) into 1 34.138 * [backup-simplify]: Simplify (/ 1 1) into 1 34.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.138 * [taylor]: Taking taylor expansion of 4.0 in x 34.138 * [backup-simplify]: Simplify 4.0 into 4.0 34.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.138 * [taylor]: Taking taylor expansion of y in x 34.138 * [backup-simplify]: Simplify y into y 34.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.139 * [backup-simplify]: Simplify (* 1 1) into 1 34.139 * [backup-simplify]: Simplify (+ 1 0) into 1 34.140 * [backup-simplify]: Simplify (* 1 1) into 1 34.140 * [backup-simplify]: Simplify (/ 1 1) into 1 34.140 * [taylor]: Taking taylor expansion of 1 in y 34.140 * [backup-simplify]: Simplify 1 into 1 34.140 * [backup-simplify]: Simplify 0 into 0 34.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.142 * [backup-simplify]: Simplify (+ 0 0) into 0 34.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.144 * [taylor]: Taking taylor expansion of 0 in y 34.144 * [backup-simplify]: Simplify 0 into 0 34.144 * [backup-simplify]: Simplify 0 into 0 34.144 * [backup-simplify]: Simplify 0 into 0 34.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.147 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 34.147 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 34.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.149 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 34.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 34.150 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 34.150 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.150 * [taylor]: Taking taylor expansion of 4.0 in y 34.150 * [backup-simplify]: Simplify 4.0 into 4.0 34.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.150 * [taylor]: Taking taylor expansion of y in y 34.150 * [backup-simplify]: Simplify 0 into 0 34.150 * [backup-simplify]: Simplify 1 into 1 34.151 * [backup-simplify]: Simplify (* 1 1) into 1 34.151 * [backup-simplify]: Simplify (/ 1 1) into 1 34.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.160 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 34.160 * [backup-simplify]: Simplify (- 0) into 0 34.160 * [backup-simplify]: Simplify 0 into 0 34.160 * [backup-simplify]: Simplify 0 into 0 34.160 * [backup-simplify]: Simplify 0 into 0 34.160 * [backup-simplify]: Simplify 0 into 0 34.160 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 34.161 * [backup-simplify]: Simplify (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) into (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))))) 34.161 * [approximate]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 34.161 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 34.161 * [taylor]: Taking taylor expansion of x in y 34.161 * [backup-simplify]: Simplify x into x 34.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2))))) in y 34.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))) in y 34.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 34.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.161 * [taylor]: Taking taylor expansion of x in y 34.161 * [backup-simplify]: Simplify x into x 34.161 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 34.161 * [taylor]: Taking taylor expansion of 4.0 in y 34.161 * [backup-simplify]: Simplify 4.0 into 4.0 34.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.161 * [taylor]: Taking taylor expansion of y in y 34.161 * [backup-simplify]: Simplify 0 into 0 34.161 * [backup-simplify]: Simplify 1 into 1 34.161 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.162 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 34.162 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.162 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 34.162 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 34.162 * [backup-simplify]: Simplify (+ 0 0) into 0 34.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 34.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 34.163 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 34.163 * [taylor]: Taking taylor expansion of x in x 34.163 * [backup-simplify]: Simplify 0 into 0 34.163 * [backup-simplify]: Simplify 1 into 1 34.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2))))) in x 34.163 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))) in x 34.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 34.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.163 * [taylor]: Taking taylor expansion of x in x 34.163 * [backup-simplify]: Simplify 0 into 0 34.163 * [backup-simplify]: Simplify 1 into 1 34.163 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 34.163 * [taylor]: Taking taylor expansion of 4.0 in x 34.163 * [backup-simplify]: Simplify 4.0 into 4.0 34.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.164 * [taylor]: Taking taylor expansion of y in x 34.164 * [backup-simplify]: Simplify y into y 34.164 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.164 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 34.164 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 34.164 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 34.164 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow y 2))) into (/ (sqrt 0.25) y) 34.164 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 34.165 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 34.165 * [backup-simplify]: Simplify (+ 0 0) into 0 34.166 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 34.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow y 2))))) into 0 34.166 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 34.166 * [taylor]: Taking taylor expansion of x in x 34.166 * [backup-simplify]: Simplify 0 into 0 34.166 * [backup-simplify]: Simplify 1 into 1 34.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4.0 (pow y 2))))) in x 34.166 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4.0 (pow y 2)))) in x 34.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 34.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.166 * [taylor]: Taking taylor expansion of x in x 34.166 * [backup-simplify]: Simplify 0 into 0 34.166 * [backup-simplify]: Simplify 1 into 1 34.166 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 34.166 * [taylor]: Taking taylor expansion of 4.0 in x 34.167 * [backup-simplify]: Simplify 4.0 into 4.0 34.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.167 * [taylor]: Taking taylor expansion of y in x 34.167 * [backup-simplify]: Simplify y into y 34.167 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.167 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 34.167 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 34.167 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 34.167 * [backup-simplify]: Simplify (sqrt (/ 0.25 (pow y 2))) into (/ (sqrt 0.25) y) 34.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 34.168 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 34.169 * [backup-simplify]: Simplify (+ 0 0) into 0 34.169 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 34.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 0.25 (pow y 2))))) into 0 34.170 * [backup-simplify]: Simplify (* 0 (/ (sqrt 0.25) y)) into 0 34.170 * [taylor]: Taking taylor expansion of 0 in y 34.170 * [backup-simplify]: Simplify 0 into 0 34.170 * [backup-simplify]: Simplify 0 into 0 34.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ (sqrt 0.25) y))) into (/ (sqrt 0.25) y) 34.171 * [taylor]: Taking taylor expansion of (/ (sqrt 0.25) y) in y 34.171 * [taylor]: Taking taylor expansion of (sqrt 0.25) in y 34.171 * [taylor]: Taking taylor expansion of 0.25 in y 34.171 * [backup-simplify]: Simplify 0.25 into 0.25 34.171 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25) 34.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0 34.172 * [taylor]: Taking taylor expansion of y in y 34.172 * [backup-simplify]: Simplify 0 into 0 34.172 * [backup-simplify]: Simplify 1 into 1 34.173 * [backup-simplify]: Simplify (/ (sqrt 0.25) 1) into (sqrt 0.25) 34.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)))) into 0 34.174 * [backup-simplify]: Simplify 0 into 0 34.174 * [backup-simplify]: Simplify 0 into 0 34.174 * [backup-simplify]: Simplify (* 1 1) into 1 34.175 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 34.176 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 34.176 * [backup-simplify]: Simplify (+ 1 0) into 1 34.177 * [backup-simplify]: Simplify (- (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 34.178 * [backup-simplify]: Simplify (/ (- (- (* 0.0625 (/ 1 (pow y 4)))) (pow 0 2) (+)) (* 2 (/ (sqrt 0.25) y))) into (/ -0.03125 (* (sqrt 0.25) (pow y 3))) 34.180 * [backup-simplify]: Simplify (+ (* 0 (/ -0.03125 (* (sqrt 0.25) (pow y 3)))) (+ (* 1 0) (* 0 (/ (sqrt 0.25) y)))) into 0 34.180 * [taylor]: Taking taylor expansion of 0 in y 34.180 * [backup-simplify]: Simplify 0 into 0 34.180 * [backup-simplify]: Simplify 0 into 0 34.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.25))) into 0 34.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.25) (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.182 * [backup-simplify]: Simplify 0 into 0 34.182 * [backup-simplify]: Simplify 0 into 0 34.182 * [backup-simplify]: Simplify 0 into 0 34.183 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 34.183 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in (x y) around 0 34.183 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in y 34.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 34.183 * [taylor]: Taking taylor expansion of x in y 34.183 * [backup-simplify]: Simplify x into x 34.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 34.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 34.183 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 34.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 34.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 34.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.183 * [taylor]: Taking taylor expansion of x in y 34.183 * [backup-simplify]: Simplify x into x 34.183 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.183 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.184 * [taylor]: Taking taylor expansion of 4.0 in y 34.184 * [backup-simplify]: Simplify 4.0 into 4.0 34.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.184 * [taylor]: Taking taylor expansion of y in y 34.184 * [backup-simplify]: Simplify 0 into 0 34.184 * [backup-simplify]: Simplify 1 into 1 34.184 * [backup-simplify]: Simplify (* 1 1) into 1 34.184 * [backup-simplify]: Simplify (/ 1 1) into 1 34.185 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 34.185 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 34.186 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 34.186 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25) 34.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.188 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 34.189 * [backup-simplify]: Simplify (+ 0 0) into 0 34.189 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0 34.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0 34.190 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in x 34.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 34.190 * [taylor]: Taking taylor expansion of x in x 34.190 * [backup-simplify]: Simplify 0 into 0 34.190 * [backup-simplify]: Simplify 1 into 1 34.191 * [backup-simplify]: Simplify (/ 1 1) into 1 34.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.191 * [taylor]: Taking taylor expansion of x in x 34.191 * [backup-simplify]: Simplify 0 into 0 34.191 * [backup-simplify]: Simplify 1 into 1 34.191 * [backup-simplify]: Simplify (* 1 1) into 1 34.192 * [backup-simplify]: Simplify (/ 1 1) into 1 34.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.192 * [taylor]: Taking taylor expansion of 4.0 in x 34.192 * [backup-simplify]: Simplify 4.0 into 4.0 34.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.192 * [taylor]: Taking taylor expansion of y in x 34.192 * [backup-simplify]: Simplify y into y 34.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.193 * [backup-simplify]: Simplify (+ 1 0) into 1 34.193 * [backup-simplify]: Simplify (/ 1 1) into 1 34.193 * [backup-simplify]: Simplify (sqrt 1) into 1 34.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.196 * [backup-simplify]: Simplify (+ 0 0) into 0 34.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.197 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in x 34.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 34.197 * [taylor]: Taking taylor expansion of x in x 34.197 * [backup-simplify]: Simplify 0 into 0 34.197 * [backup-simplify]: Simplify 1 into 1 34.198 * [backup-simplify]: Simplify (/ 1 1) into 1 34.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.198 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.198 * [taylor]: Taking taylor expansion of x in x 34.198 * [backup-simplify]: Simplify 0 into 0 34.198 * [backup-simplify]: Simplify 1 into 1 34.199 * [backup-simplify]: Simplify (* 1 1) into 1 34.199 * [backup-simplify]: Simplify (/ 1 1) into 1 34.199 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.199 * [taylor]: Taking taylor expansion of 4.0 in x 34.199 * [backup-simplify]: Simplify 4.0 into 4.0 34.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.199 * [taylor]: Taking taylor expansion of y in x 34.199 * [backup-simplify]: Simplify y into y 34.199 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.200 * [backup-simplify]: Simplify (+ 1 0) into 1 34.200 * [backup-simplify]: Simplify (/ 1 1) into 1 34.201 * [backup-simplify]: Simplify (sqrt 1) into 1 34.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.202 * [backup-simplify]: Simplify (+ 0 0) into 0 34.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.204 * [backup-simplify]: Simplify (* 1 1) into 1 34.204 * [taylor]: Taking taylor expansion of 1 in y 34.204 * [backup-simplify]: Simplify 1 into 1 34.204 * [backup-simplify]: Simplify 0 into 0 34.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.206 * [taylor]: Taking taylor expansion of 0 in y 34.206 * [backup-simplify]: Simplify 0 into 0 34.206 * [backup-simplify]: Simplify 0 into 0 34.206 * [backup-simplify]: Simplify 0 into 0 34.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.208 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 34.208 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 34.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 34.210 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow y 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow y 2)) 34.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.212 * [backup-simplify]: Simplify (+ (* 1 (/ -2.0 (pow y 2))) (+ (* 0 0) (* 0 1))) into (- (* 2.0 (/ 1 (pow y 2)))) 34.212 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 34.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 34.212 * [taylor]: Taking taylor expansion of 2.0 in y 34.212 * [backup-simplify]: Simplify 2.0 into 2.0 34.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.212 * [taylor]: Taking taylor expansion of y in y 34.212 * [backup-simplify]: Simplify 0 into 0 34.212 * [backup-simplify]: Simplify 1 into 1 34.213 * [backup-simplify]: Simplify (* 1 1) into 1 34.213 * [backup-simplify]: Simplify (/ 1 1) into 1 34.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.220 * [backup-simplify]: Simplify (- 0) into 0 34.220 * [backup-simplify]: Simplify 0 into 0 34.220 * [backup-simplify]: Simplify 0 into 0 34.220 * [backup-simplify]: Simplify 0 into 0 34.220 * [backup-simplify]: Simplify 0 into 0 34.221 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) 34.221 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in (x y) around 0 34.221 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in y 34.221 * [taylor]: Taking taylor expansion of (/ 1 x) in y 34.221 * [taylor]: Taking taylor expansion of x in y 34.221 * [backup-simplify]: Simplify x into x 34.221 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 34.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 34.221 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 34.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 34.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 34.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 34.221 * [taylor]: Taking taylor expansion of x in y 34.221 * [backup-simplify]: Simplify x into x 34.221 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.222 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 34.222 * [taylor]: Taking taylor expansion of 4.0 in y 34.222 * [backup-simplify]: Simplify 4.0 into 4.0 34.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 34.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 34.222 * [taylor]: Taking taylor expansion of y in y 34.222 * [backup-simplify]: Simplify 0 into 0 34.222 * [backup-simplify]: Simplify 1 into 1 34.222 * [backup-simplify]: Simplify (* 1 1) into 1 34.223 * [backup-simplify]: Simplify (/ 1 1) into 1 34.223 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 34.224 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 34.224 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 34.224 * [backup-simplify]: Simplify (sqrt 0.25) into (sqrt 0.25) 34.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.227 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 34.227 * [backup-simplify]: Simplify (+ 0 0) into 0 34.228 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0 34.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.25))) into 0 34.229 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in x 34.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 34.229 * [taylor]: Taking taylor expansion of x in x 34.229 * [backup-simplify]: Simplify 0 into 0 34.229 * [backup-simplify]: Simplify 1 into 1 34.229 * [backup-simplify]: Simplify (/ 1 1) into 1 34.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 34.229 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 34.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 34.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.230 * [taylor]: Taking taylor expansion of x in x 34.230 * [backup-simplify]: Simplify 0 into 0 34.230 * [backup-simplify]: Simplify 1 into 1 34.230 * [backup-simplify]: Simplify (* 1 1) into 1 34.230 * [backup-simplify]: Simplify (/ 1 1) into 1 34.230 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 34.230 * [taylor]: Taking taylor expansion of 4.0 in x 34.230 * [backup-simplify]: Simplify 4.0 into 4.0 34.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 34.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 34.230 * [taylor]: Taking taylor expansion of y in x 34.230 * [backup-simplify]: Simplify y into y 34.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 34.231 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 34.231 * [backup-simplify]: Simplify (+ 1 0) into 1 34.232 * [backup-simplify]: Simplify (/ 1 1) into 1 34.232 * [backup-simplify]: Simplify (sqrt 1) into 1 34.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.364 * [backup-simplify]: Simplify (+ 0 0) into 0 35.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 35.366 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))) in x 35.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 35.366 * [taylor]: Taking taylor expansion of x in x 35.366 * [backup-simplify]: Simplify 0 into 0 35.366 * [backup-simplify]: Simplify 1 into 1 35.366 * [backup-simplify]: Simplify (/ 1 1) into 1 35.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 35.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 35.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 35.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.366 * [taylor]: Taking taylor expansion of x in x 35.366 * [backup-simplify]: Simplify 0 into 0 35.366 * [backup-simplify]: Simplify 1 into 1 35.367 * [backup-simplify]: Simplify (* 1 1) into 1 35.367 * [backup-simplify]: Simplify (/ 1 1) into 1 35.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 35.367 * [taylor]: Taking taylor expansion of 4.0 in x 35.367 * [backup-simplify]: Simplify 4.0 into 4.0 35.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 35.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 35.367 * [taylor]: Taking taylor expansion of y in x 35.367 * [backup-simplify]: Simplify y into y 35.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 35.368 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 35.368 * [backup-simplify]: Simplify (+ 1 0) into 1 35.369 * [backup-simplify]: Simplify (/ 1 1) into 1 35.369 * [backup-simplify]: Simplify (sqrt 1) into 1 35.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.371 * [backup-simplify]: Simplify (+ 0 0) into 0 35.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 35.373 * [backup-simplify]: Simplify (* 1 1) into 1 35.373 * [taylor]: Taking taylor expansion of 1 in y 35.373 * [backup-simplify]: Simplify 1 into 1 35.373 * [backup-simplify]: Simplify 0 into 0 35.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.374 * [taylor]: Taking taylor expansion of 0 in y 35.374 * [backup-simplify]: Simplify 0 into 0 35.374 * [backup-simplify]: Simplify 0 into 0 35.374 * [backup-simplify]: Simplify 0 into 0 35.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.376 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 35.376 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 35.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 35.389 * [backup-simplify]: Simplify (/ (- (- (* 4.0 (/ 1 (pow y 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2.0 (pow y 2)) 35.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.390 * [backup-simplify]: Simplify (+ (* 1 (/ -2.0 (pow y 2))) (+ (* 0 0) (* 0 1))) into (- (* 2.0 (/ 1 (pow y 2)))) 35.391 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 35.391 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 35.391 * [taylor]: Taking taylor expansion of 2.0 in y 35.391 * [backup-simplify]: Simplify 2.0 into 2.0 35.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 35.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 35.391 * [taylor]: Taking taylor expansion of y in y 35.391 * [backup-simplify]: Simplify 0 into 0 35.391 * [backup-simplify]: Simplify 1 into 1 35.391 * [backup-simplify]: Simplify (* 1 1) into 1 35.391 * [backup-simplify]: Simplify (/ 1 1) into 1 35.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.395 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.395 * [backup-simplify]: Simplify (- 0) into 0 35.395 * [backup-simplify]: Simplify 0 into 0 35.395 * [backup-simplify]: Simplify 0 into 0 35.395 * [backup-simplify]: Simplify 0 into 0 35.395 * [backup-simplify]: Simplify 0 into 0 35.395 * * * [progress]: simplifying candidates 35.398 * [simplify]: Simplifying: (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* 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)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (log (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (exp (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (* (* (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))) (sqrt (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))) (sqrt (/ x (cbrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))) (sqrt (/ x 1)) (sqrt (/ x (+ (* x x) (* (* y 4.0) y)))) (sqrt 1) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (* x x)) (sqrt (/ 1 (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (sqrt (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (* x x)) (sqrt (+ (* x x) (* (* y 4.0) y))) (/ 1 2) (sqrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (sqrt (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) 0 0 0 0 0 0 0 0 0 0 0 0 35.403 * * [simplify]: iteration 0: 127 enodes 35.463 * * [simplify]: iteration 1: 370 enodes 36.849 * * [simplify]: iteration 2: 1484 enodes 41.501 * * [simplify]: iteration complete: 5011 enodes 41.501 * * [simplify]: Extracting #0: cost 64 inf + 0 41.502 * * [simplify]: Extracting #1: cost 739 inf + 45 41.512 * * [simplify]: Extracting #2: cost 1233 inf + 4191 41.791 * * [simplify]: Extracting #3: cost 1077 inf + 108602 41.957 * * [simplify]: Extracting #4: cost 285 inf + 326833 42.125 * * [simplify]: Extracting #5: cost 67 inf + 379737 42.454 * * [simplify]: Extracting #6: cost 5 inf + 396544 42.635 * * [simplify]: Extracting #7: cost 0 inf + 398173 42.812 * [simplify]: Simplified to: (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (exp (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (cbrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (cbrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))))) (cbrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* (* 4.0 y) y) (+ (* (* 4.0 y) y) (* x x)))) (- (* (* 4.0 y) y)) (- (* x (- x)) (* (* 4.0 y) y)) (/ (* 4.0 y) (* (cbrt (+ (* (* 4.0 y) y) (* x x))) (cbrt (+ (* (* 4.0 y) y) (* x x))))) (/ y (cbrt (+ (* (* 4.0 y) y) (* x x)))) (/ (* 4.0 y) (sqrt (+ (* (* 4.0 y) y) (* x x)))) (/ y (sqrt (+ (* (* 4.0 y) y) (* x x)))) (* 4.0 y) (/ y (+ (* (* 4.0 y) y) (* x x))) (/ 1 (+ (* (* 4.0 y) y) (* x x))) (/ (+ (* (* 4.0 y) y) (* x x)) (* (* 4.0 y) y)) (/ (* (* 4.0 y) y) (* (cbrt (+ (* (* 4.0 y) y) (* x x))) (cbrt (+ (* (* 4.0 y) y) (* x x))))) (/ (* (* 4.0 y) y) (sqrt (+ (* (* 4.0 y) y) (* x x)))) (* (* 4.0 y) y) (/ (+ (* (* 4.0 y) y) (* x x)) y) (/ (* (* 4.0 y) y) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y))))) (/ (* (* 4.0 y) y) (- (* (* x x) (* x x)) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (exp (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* x (- x)) (- (* x (- x)) (* (* 4.0 y) y)) (/ (/ x (cbrt (+ (* (* 4.0 y) y) (* x x)))) (cbrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (cbrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) x (/ x (+ (* (* 4.0 y) y) (* x x))) (/ 1 (+ (* (* 4.0 y) y) (* x x))) (/ (+ (* (* 4.0 y) y) (* x x)) (* x x)) (/ (* x x) (* (cbrt (+ (* (* 4.0 y) y) (* x x))) (cbrt (+ (* (* 4.0 y) y) (* x x))))) (/ (* x x) (sqrt (+ (* (* 4.0 y) y) (* x x)))) (* x x) (/ (+ (* (* 4.0 y) y) (* x x)) x) (/ (* x x) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y))))) (/ (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (- (* x x) (* (* 4.0 y) y))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (log (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (exp (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* (* (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (* x (- x)) (- (* x (- x)) (* (* 4.0 y) y)) (/ (/ x (cbrt (+ (* (* 4.0 y) y) (* x x)))) (cbrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (cbrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) (/ x (sqrt (+ (* (* 4.0 y) y) (* x x)))) x (/ x (+ (* (* 4.0 y) y) (* x x))) (/ 1 (+ (* (* 4.0 y) y) (* x x))) (/ (+ (* (* 4.0 y) y) (* x x)) (* x x)) (/ (* x x) (* (cbrt (+ (* (* 4.0 y) y) (* x x))) (cbrt (+ (* (* 4.0 y) y) (* x x))))) (/ (* x x) (sqrt (+ (* (* 4.0 y) y) (* x x)))) (* x x) (/ (+ (* (* 4.0 y) y) (* x x)) x) (/ (* x x) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y))))) (/ (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (- (* x x) (* (* 4.0 y) y))) (log (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (exp (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (* (cbrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (cbrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))))) (cbrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (* (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (fabs (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (sqrt (cbrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (sqrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (sqrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (sqrt (/ (/ x (cbrt (+ (* (* 4.0 y) y) (* x x)))) (cbrt (+ (* (* 4.0 y) y) (* x x))))) (sqrt (/ x (cbrt (+ (* (* 4.0 y) y) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 y) y) (* x x))))) (sqrt (/ x (sqrt (+ (* (* 4.0 y) y) (* x x))))) (sqrt x) (sqrt (/ x (+ (* (* 4.0 y) y) (* x x)))) 1 (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x)))) (fabs x) (sqrt (/ 1 (+ (* (* 4.0 y) y) (* x x)))) (sqrt (/ (* x x) (+ (* (* x x) (* (* x x) (* x x))) (* (* (* 4.0 y) y) (* (* (* 4.0 y) y) (* (* 4.0 y) y)))))) (sqrt (- (* (* (* 4.0 y) y) (* (* 4.0 y) y)) (* (* x x) (- (* (* 4.0 y) y) (* x x))))) (sqrt (/ (/ (* x x) (+ (* (* 4.0 y) y) (* x x))) (- (* x x) (* (* 4.0 y) y)))) (sqrt (- (* x x) (* (* 4.0 y) y))) (fabs x) (sqrt (+ (* (* 4.0 y) y) (* x x))) 1/2 (sqrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) (sqrt (sqrt (/ (* x x) (+ (* (* 4.0 y) y) (* x x))))) 0 0 0 0 0 0 0 0 0 0 0 0 42.833 * * * [progress]: adding candidates to table 44.481 * [progress]: [Phase 3 of 3] Extracting. 44.481 * * [regime]: Finding splitpoints for: (# # # #) 44.488 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 44.488 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # # #) 44.595 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 44.682 * * * * [regimes]: Trying to branch on y from (# # # #) 44.810 * * * * [regimes]: Trying to branch on x from (# # # #) 44.945 * * * [regime]: Found split indices: #