28.127 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) 0.090 * * [simplify]: iteration 0: 14 enodes 0.093 * * [simplify]: iteration 1: 29 enodes 0.099 * * [simplify]: iteration 2: 51 enodes 0.106 * * [simplify]: iteration 3: 76 enodes 0.117 * * [simplify]: iteration 4: 104 enodes 0.130 * * [simplify]: iteration 5: 145 enodes 0.143 * * [simplify]: iteration 6: 200 enodes 0.173 * * [simplify]: iteration 7: 301 enodes 0.217 * * [simplify]: iteration 8: 441 enodes 0.293 * * [simplify]: iteration 9: 598 enodes 0.392 * * [simplify]: iteration 10: 745 enodes 0.540 * * [simplify]: iteration 11: 786 enodes 0.614 * * [simplify]: iteration 12: 825 enodes 0.705 * * [simplify]: iteration 13: 858 enodes 0.805 * * 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[simplify]: iteration 97: 3000 enodes 14.819 * * [simplify]: iteration 98: 3018 enodes 15.032 * * [simplify]: iteration 99: 3051 enodes 15.258 * * [simplify]: iteration 100: 3069 enodes 15.576 * * [simplify]: iteration 101: 3102 enodes 15.784 * * [simplify]: iteration 102: 3120 enodes 16.002 * * [simplify]: iteration 103: 3153 enodes 16.196 * * [simplify]: iteration 104: 3171 enodes 16.409 * * [simplify]: iteration 105: 3204 enodes 16.598 * * [simplify]: iteration 106: 3222 enodes 16.818 * * [simplify]: iteration 107: 3255 enodes 17.011 * * [simplify]: iteration 108: 3273 enodes 17.236 * * [simplify]: iteration 109: 3306 enodes 17.430 * * [simplify]: iteration 110: 3324 enodes 17.652 * * [simplify]: iteration 111: 3357 enodes 17.847 * * [simplify]: iteration 112: 3375 enodes 18.071 * * [simplify]: iteration 113: 3408 enodes 18.266 * * [simplify]: iteration 114: 3426 enodes 18.493 * * [simplify]: iteration 115: 3459 enodes 18.692 * * [simplify]: iteration 116: 3477 enodes 18.923 * * [simplify]: iteration 117: 3510 enodes 19.125 * * [simplify]: iteration 118: 3528 enodes 19.362 * * [simplify]: iteration 119: 3561 enodes 19.566 * * [simplify]: iteration 120: 3579 enodes 19.806 * * [simplify]: iteration 121: 3612 enodes 20.013 * * [simplify]: iteration 122: 3630 enodes 20.258 * * [simplify]: iteration 123: 3663 enodes 20.467 * * [simplify]: iteration 124: 3681 enodes 20.716 * * [simplify]: iteration 125: 3714 enodes 20.931 * * [simplify]: iteration 126: 3732 enodes 21.184 * * [simplify]: iteration 127: 3765 enodes 21.404 * * [simplify]: iteration 128: 3783 enodes 21.671 * * [simplify]: iteration 129: 3816 enodes 21.901 * * [simplify]: iteration 130: 3834 enodes 22.164 * * [simplify]: iteration 131: 3867 enodes 22.394 * * [simplify]: iteration 132: 3885 enodes 22.661 * * [simplify]: iteration 133: 3918 enodes 22.894 * * [simplify]: iteration 134: 3936 enodes 23.162 * * [simplify]: iteration 135: 3969 enodes 23.397 * * [simplify]: iteration 136: 3987 enodes 23.669 * * [simplify]: iteration 137: 4020 enodes 23.904 * * [simplify]: iteration 138: 4038 enodes 24.179 * * [simplify]: iteration 139: 4071 enodes 24.414 * * [simplify]: iteration 140: 4089 enodes 24.694 * * [simplify]: iteration 141: 4122 enodes 24.938 * * [simplify]: iteration 142: 4140 enodes 25.226 * * [simplify]: iteration 143: 4173 enodes 25.471 * * [simplify]: iteration 144: 4191 enodes 25.760 * * [simplify]: iteration 145: 4224 enodes 26.004 * * [simplify]: iteration 146: 4242 enodes 26.295 * * [simplify]: iteration 147: 4275 enodes 26.546 * * [simplify]: iteration 148: 4293 enodes 26.842 * * [simplify]: iteration 149: 4326 enodes 27.102 * * [simplify]: iteration 150: 4344 enodes 27.404 * * [simplify]: iteration 151: 4377 enodes 27.665 * * [simplify]: iteration 152: 4395 enodes 27.981 * * [simplify]: iteration 153: 4429 enodes 28.246 * * [simplify]: iteration 154: 4447 enodes 28.562 * * [simplify]: iteration 155: 4490 enodes 28.836 * * [simplify]: iteration 156: 4511 enodes 29.158 * * [simplify]: iteration 157: 4558 enodes 29.435 * * [simplify]: iteration 158: 4581 enodes 29.758 * * [simplify]: iteration 159: 4626 enodes 30.040 * * [simplify]: iteration 160: 4649 enodes 30.365 * * [simplify]: iteration 161: 4696 enodes 30.657 * * [simplify]: iteration 162: 4721 enodes 30.999 * * [simplify]: iteration 163: 4781 enodes 31.298 * * [simplify]: iteration 164: 4809 enodes 31.910 * * [simplify]: iteration 165: 4880 enodes 32.220 * * [simplify]: iteration 166: 4914 enodes 32.651 * * [simplify]: iteration complete: 5000 enodes 32.651 * * [simplify]: Extracting #0: cost 1 inf + 0 32.651 * * [simplify]: Extracting #1: cost 2 inf + 0 32.651 * * [simplify]: Extracting #2: cost 5 inf + 0 32.653 * * [simplify]: Extracting #3: cost 1012 inf + 1 32.657 * * [simplify]: Extracting #4: cost 714 inf + 12477 32.662 * * [simplify]: Extracting #5: cost 679 inf + 14031 32.667 * * [simplify]: Extracting #6: cost 682 inf + 14072 32.672 * * [simplify]: Extracting #7: cost 678 inf + 14157 32.685 * * [simplify]: Extracting #8: cost 414 inf + 78289 32.716 * * [simplify]: Extracting #9: cost 2 inf + 178895 32.749 * * [simplify]: Extracting #10: cost 0 inf + 179583 32.781 * [simplify]: Simplified to: (sqrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) 32.785 * * [progress]: iteration 1 / 4 32.785 * * * [progress]: picking best candidate 32.788 * * * * [pick]: Picked # 32.788 * * * [progress]: localizing error 32.811 * * * [progress]: generating rewritten candidates 32.811 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 32.819 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 32.881 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 32.896 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 32.909 * * * [progress]: generating series expansions 32.909 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 32.909 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* p (* 4 p)))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 32.909 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 32.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 32.909 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 32.909 * [taylor]: Taking taylor expansion of (pow x 2) in p 32.909 * [taylor]: Taking taylor expansion of x in p 32.910 * [backup-simplify]: Simplify x into x 32.910 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 32.910 * [taylor]: Taking taylor expansion of 4 in p 32.910 * [backup-simplify]: Simplify 4 into 4 32.910 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.910 * [taylor]: Taking taylor expansion of p in p 32.910 * [backup-simplify]: Simplify 0 into 0 32.910 * [backup-simplify]: Simplify 1 into 1 32.910 * [backup-simplify]: Simplify (* x x) into (pow x 2) 32.910 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 32.910 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 32.910 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 32.910 * [backup-simplify]: Simplify (+ 0 0) into 0 32.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 32.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 32.911 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 32.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.911 * [taylor]: Taking taylor expansion of x in x 32.911 * [backup-simplify]: Simplify 0 into 0 32.911 * [backup-simplify]: Simplify 1 into 1 32.911 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 32.911 * [taylor]: Taking taylor expansion of 4 in x 32.911 * [backup-simplify]: Simplify 4 into 4 32.911 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.911 * [taylor]: Taking taylor expansion of p in x 32.911 * [backup-simplify]: Simplify p into p 32.911 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.911 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 32.911 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 32.911 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 32.911 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.911 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 32.912 * [backup-simplify]: Simplify (+ 0 0) into 0 32.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 32.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 32.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 32.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.912 * [taylor]: Taking taylor expansion of x in x 32.912 * [backup-simplify]: Simplify 0 into 0 32.912 * [backup-simplify]: Simplify 1 into 1 32.912 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 32.912 * [taylor]: Taking taylor expansion of 4 in x 32.912 * [backup-simplify]: Simplify 4 into 4 32.912 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.912 * [taylor]: Taking taylor expansion of p in x 32.912 * [backup-simplify]: Simplify p into p 32.912 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.912 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 32.912 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 32.912 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 32.912 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.913 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 32.913 * [backup-simplify]: Simplify (+ 0 0) into 0 32.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 32.913 * [taylor]: Taking taylor expansion of (* 2 p) in p 32.913 * [taylor]: Taking taylor expansion of 2 in p 32.913 * [backup-simplify]: Simplify 2 into 2 32.913 * [taylor]: Taking taylor expansion of p in p 32.913 * [backup-simplify]: Simplify 0 into 0 32.913 * [backup-simplify]: Simplify 1 into 1 32.913 * [backup-simplify]: Simplify (* 2 0) into 0 32.913 * [backup-simplify]: Simplify 0 into 0 32.913 * [taylor]: Taking taylor expansion of 0 in p 32.913 * [backup-simplify]: Simplify 0 into 0 32.913 * [backup-simplify]: Simplify 0 into 0 32.914 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 32.914 * [backup-simplify]: Simplify 2 into 2 32.914 * [backup-simplify]: Simplify (* 1 1) into 1 32.914 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 32.915 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 32.915 * [backup-simplify]: Simplify (+ 1 0) into 1 32.916 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 32.916 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 32.916 * [taylor]: Taking taylor expansion of 1/4 in p 32.916 * [backup-simplify]: Simplify 1/4 into 1/4 32.916 * [taylor]: Taking taylor expansion of p in p 32.916 * [backup-simplify]: Simplify 0 into 0 32.916 * [backup-simplify]: Simplify 1 into 1 32.916 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 32.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 32.916 * [backup-simplify]: Simplify 0 into 0 32.916 * [backup-simplify]: Simplify 0 into 0 32.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 32.917 * [backup-simplify]: Simplify 0 into 0 32.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.918 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 32.919 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 32.919 * [backup-simplify]: Simplify (+ 0 0) into 0 32.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 32.919 * [taylor]: Taking taylor expansion of 0 in p 32.919 * [backup-simplify]: Simplify 0 into 0 32.919 * [backup-simplify]: Simplify 0 into 0 32.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.920 * [backup-simplify]: Simplify 0 into 0 32.920 * [backup-simplify]: Simplify 0 into 0 32.920 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 32.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 32.920 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 32.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 32.920 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 32.920 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 32.920 * [taylor]: Taking taylor expansion of 4 in p 32.920 * [backup-simplify]: Simplify 4 into 4 32.920 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 32.920 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.920 * [taylor]: Taking taylor expansion of p in p 32.920 * [backup-simplify]: Simplify 0 into 0 32.920 * [backup-simplify]: Simplify 1 into 1 32.920 * [backup-simplify]: Simplify (* 1 1) into 1 32.920 * [backup-simplify]: Simplify (/ 1 1) into 1 32.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 32.920 * [taylor]: Taking taylor expansion of (pow x 2) in p 32.920 * [taylor]: Taking taylor expansion of x in p 32.921 * [backup-simplify]: Simplify x into x 32.921 * [backup-simplify]: Simplify (* x x) into (pow x 2) 32.921 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 32.921 * [backup-simplify]: Simplify (* 4 1) into 4 32.921 * [backup-simplify]: Simplify (+ 4 0) into 4 32.921 * [backup-simplify]: Simplify (sqrt 4) into 2 32.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.923 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.923 * [backup-simplify]: Simplify (+ 0 0) into 0 32.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 32.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.923 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.923 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.923 * [taylor]: Taking taylor expansion of 4 in x 32.923 * [backup-simplify]: Simplify 4 into 4 32.923 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.923 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.923 * [taylor]: Taking taylor expansion of p in x 32.923 * [backup-simplify]: Simplify p into p 32.923 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.923 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.923 * [taylor]: Taking taylor expansion of x in x 32.923 * [backup-simplify]: Simplify 0 into 0 32.924 * [backup-simplify]: Simplify 1 into 1 32.924 * [backup-simplify]: Simplify (* 1 1) into 1 32.924 * [backup-simplify]: Simplify (/ 1 1) into 1 32.924 * [backup-simplify]: Simplify (+ 0 1) into 1 32.924 * [backup-simplify]: Simplify (sqrt 1) into 1 32.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.925 * [backup-simplify]: Simplify (+ 0 0) into 0 32.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.926 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.926 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.926 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.926 * [taylor]: Taking taylor expansion of 4 in x 32.926 * [backup-simplify]: Simplify 4 into 4 32.926 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.926 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.926 * [taylor]: Taking taylor expansion of p in x 32.926 * [backup-simplify]: Simplify p into p 32.926 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.926 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.926 * [taylor]: Taking taylor expansion of x in x 32.926 * [backup-simplify]: Simplify 0 into 0 32.926 * [backup-simplify]: Simplify 1 into 1 32.926 * [backup-simplify]: Simplify (* 1 1) into 1 32.927 * [backup-simplify]: Simplify (/ 1 1) into 1 32.927 * [backup-simplify]: Simplify (+ 0 1) into 1 32.927 * [backup-simplify]: Simplify (sqrt 1) into 1 32.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.928 * [backup-simplify]: Simplify (+ 0 0) into 0 32.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.929 * [taylor]: Taking taylor expansion of 1 in p 32.929 * [backup-simplify]: Simplify 1 into 1 32.929 * [taylor]: Taking taylor expansion of 0 in p 32.929 * [backup-simplify]: Simplify 0 into 0 32.929 * [backup-simplify]: Simplify 1 into 1 32.929 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 32.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.930 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 32.931 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 32.931 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 32.931 * [taylor]: Taking taylor expansion of 2 in p 32.931 * [backup-simplify]: Simplify 2 into 2 32.931 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.931 * [taylor]: Taking taylor expansion of p in p 32.931 * [backup-simplify]: Simplify 0 into 0 32.931 * [backup-simplify]: Simplify 1 into 1 32.931 * [backup-simplify]: Simplify (* 1 1) into 1 32.933 * [backup-simplify]: Simplify (/ 2 1) into 2 32.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 32.934 * [backup-simplify]: Simplify 0 into 0 32.934 * [backup-simplify]: Simplify 0 into 0 32.934 * [backup-simplify]: Simplify 0 into 0 32.935 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 32.935 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 32.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.936 * [backup-simplify]: Simplify (+ 0 0) into 0 32.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 32.937 * [taylor]: Taking taylor expansion of 0 in p 32.937 * [backup-simplify]: Simplify 0 into 0 32.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.938 * [backup-simplify]: Simplify 0 into 0 32.938 * [backup-simplify]: Simplify 0 into 0 32.938 * [backup-simplify]: Simplify 0 into 0 32.938 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 32.938 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 32.938 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 32.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 32.938 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 32.938 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 32.938 * [taylor]: Taking taylor expansion of 4 in p 32.938 * [backup-simplify]: Simplify 4 into 4 32.938 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 32.938 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.938 * [taylor]: Taking taylor expansion of p in p 32.938 * [backup-simplify]: Simplify 0 into 0 32.938 * [backup-simplify]: Simplify 1 into 1 32.939 * [backup-simplify]: Simplify (* 1 1) into 1 32.939 * [backup-simplify]: Simplify (/ 1 1) into 1 32.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 32.939 * [taylor]: Taking taylor expansion of (pow x 2) in p 32.939 * [taylor]: Taking taylor expansion of x in p 32.939 * [backup-simplify]: Simplify x into x 32.939 * [backup-simplify]: Simplify (* x x) into (pow x 2) 32.939 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 32.939 * [backup-simplify]: Simplify (* 4 1) into 4 32.939 * [backup-simplify]: Simplify (+ 4 0) into 4 32.940 * [backup-simplify]: Simplify (sqrt 4) into 2 32.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.941 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.941 * [backup-simplify]: Simplify (+ 0 0) into 0 32.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 32.942 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.942 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.942 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.942 * [taylor]: Taking taylor expansion of 4 in x 32.942 * [backup-simplify]: Simplify 4 into 4 32.942 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.942 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.942 * [taylor]: Taking taylor expansion of p in x 32.942 * [backup-simplify]: Simplify p into p 32.942 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.942 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.942 * [taylor]: Taking taylor expansion of x in x 32.942 * [backup-simplify]: Simplify 0 into 0 32.942 * [backup-simplify]: Simplify 1 into 1 32.942 * [backup-simplify]: Simplify (* 1 1) into 1 32.942 * [backup-simplify]: Simplify (/ 1 1) into 1 32.943 * [backup-simplify]: Simplify (+ 0 1) into 1 32.943 * [backup-simplify]: Simplify (sqrt 1) into 1 32.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.944 * [backup-simplify]: Simplify (+ 0 0) into 0 32.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.944 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.944 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.944 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.944 * [taylor]: Taking taylor expansion of 4 in x 32.944 * [backup-simplify]: Simplify 4 into 4 32.944 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.944 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.944 * [taylor]: Taking taylor expansion of p in x 32.944 * [backup-simplify]: Simplify p into p 32.944 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.944 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.944 * [taylor]: Taking taylor expansion of x in x 32.944 * [backup-simplify]: Simplify 0 into 0 32.944 * [backup-simplify]: Simplify 1 into 1 32.945 * [backup-simplify]: Simplify (* 1 1) into 1 32.945 * [backup-simplify]: Simplify (/ 1 1) into 1 32.945 * [backup-simplify]: Simplify (+ 0 1) into 1 32.945 * [backup-simplify]: Simplify (sqrt 1) into 1 32.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.946 * [backup-simplify]: Simplify (+ 0 0) into 0 32.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.947 * [taylor]: Taking taylor expansion of 1 in p 32.947 * [backup-simplify]: Simplify 1 into 1 32.947 * [taylor]: Taking taylor expansion of 0 in p 32.947 * [backup-simplify]: Simplify 0 into 0 32.947 * [backup-simplify]: Simplify 1 into 1 32.947 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 32.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.948 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 32.949 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 32.949 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 32.949 * [taylor]: Taking taylor expansion of 2 in p 32.949 * [backup-simplify]: Simplify 2 into 2 32.949 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.949 * [taylor]: Taking taylor expansion of p in p 32.949 * [backup-simplify]: Simplify 0 into 0 32.949 * [backup-simplify]: Simplify 1 into 1 32.949 * [backup-simplify]: Simplify (* 1 1) into 1 32.950 * [backup-simplify]: Simplify (/ 2 1) into 2 32.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 32.950 * [backup-simplify]: Simplify 0 into 0 32.950 * [backup-simplify]: Simplify 0 into 0 32.951 * [backup-simplify]: Simplify 0 into 0 32.951 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 32.951 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 32.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.952 * [backup-simplify]: Simplify (+ 0 0) into 0 32.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 32.953 * [taylor]: Taking taylor expansion of 0 in p 32.953 * [backup-simplify]: Simplify 0 into 0 32.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.954 * [backup-simplify]: Simplify 0 into 0 32.954 * [backup-simplify]: Simplify 0 into 0 32.954 * [backup-simplify]: Simplify 0 into 0 32.954 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 32.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 32.954 * [backup-simplify]: Simplify (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5) into (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) 32.954 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 32.954 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 32.954 * [taylor]: Taking taylor expansion of 0.5 in p 32.954 * [backup-simplify]: Simplify 0.5 into 0.5 32.954 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 32.954 * [taylor]: Taking taylor expansion of 0.5 in p 32.954 * [backup-simplify]: Simplify 0.5 into 0.5 32.954 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 32.954 * [taylor]: Taking taylor expansion of x in p 32.954 * [backup-simplify]: Simplify x into x 32.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 32.954 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 32.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 32.954 * [taylor]: Taking taylor expansion of (pow x 2) in p 32.954 * [taylor]: Taking taylor expansion of x in p 32.954 * [backup-simplify]: Simplify x into x 32.954 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 32.954 * [taylor]: Taking taylor expansion of 4 in p 32.955 * [backup-simplify]: Simplify 4 into 4 32.955 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.955 * [taylor]: Taking taylor expansion of p in p 32.955 * [backup-simplify]: Simplify 0 into 0 32.955 * [backup-simplify]: Simplify 1 into 1 32.955 * [backup-simplify]: Simplify (* x x) into (pow x 2) 32.955 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 32.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 32.955 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 32.955 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 32.955 * [backup-simplify]: Simplify (+ 0 0) into 0 32.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 32.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 32.955 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 32.955 * [taylor]: Taking taylor expansion of 0.5 in x 32.955 * [backup-simplify]: Simplify 0.5 into 0.5 32.955 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 32.955 * [taylor]: Taking taylor expansion of 0.5 in x 32.955 * [backup-simplify]: Simplify 0.5 into 0.5 32.955 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 32.955 * [taylor]: Taking taylor expansion of x in x 32.955 * [backup-simplify]: Simplify 0 into 0 32.956 * [backup-simplify]: Simplify 1 into 1 32.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 32.956 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 32.956 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 32.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.956 * [taylor]: Taking taylor expansion of x in x 32.956 * [backup-simplify]: Simplify 0 into 0 32.956 * [backup-simplify]: Simplify 1 into 1 32.956 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 32.956 * [taylor]: Taking taylor expansion of 4 in x 32.956 * [backup-simplify]: Simplify 4 into 4 32.956 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.956 * [taylor]: Taking taylor expansion of p in x 32.956 * [backup-simplify]: Simplify p into p 32.956 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.956 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 32.956 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 32.956 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 32.956 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 32.956 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.956 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 32.957 * [backup-simplify]: Simplify (+ 0 0) into 0 32.957 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 32.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 32.957 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 32.957 * [taylor]: Taking taylor expansion of 0.5 in x 32.957 * [backup-simplify]: Simplify 0.5 into 0.5 32.957 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 32.957 * [taylor]: Taking taylor expansion of 0.5 in x 32.957 * [backup-simplify]: Simplify 0.5 into 0.5 32.957 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 32.957 * [taylor]: Taking taylor expansion of x in x 32.957 * [backup-simplify]: Simplify 0 into 0 32.957 * [backup-simplify]: Simplify 1 into 1 32.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 32.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 32.957 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 32.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.957 * [taylor]: Taking taylor expansion of x in x 32.957 * [backup-simplify]: Simplify 0 into 0 32.957 * [backup-simplify]: Simplify 1 into 1 32.957 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 32.957 * [taylor]: Taking taylor expansion of 4 in x 32.957 * [backup-simplify]: Simplify 4 into 4 32.957 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.957 * [taylor]: Taking taylor expansion of p in x 32.957 * [backup-simplify]: Simplify p into p 32.957 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.957 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 32.957 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 32.958 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 32.958 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 32.958 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.958 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 32.958 * [backup-simplify]: Simplify (+ 0 0) into 0 32.958 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 32.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 32.959 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 32.959 * [backup-simplify]: Simplify (* 0.5 0) into 0 32.959 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 32.959 * [taylor]: Taking taylor expansion of 0.5 in p 32.959 * [backup-simplify]: Simplify 0.5 into 0.5 32.959 * [backup-simplify]: Simplify 0.5 into 0.5 32.959 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 32.960 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 32.960 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 32.960 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 32.960 * [taylor]: Taking taylor expansion of 0.25 in p 32.960 * [backup-simplify]: Simplify 0.25 into 0.25 32.960 * [taylor]: Taking taylor expansion of (/ 1 p) in p 32.960 * [taylor]: Taking taylor expansion of p in p 32.960 * [backup-simplify]: Simplify 0 into 0 32.960 * [backup-simplify]: Simplify 1 into 1 32.960 * [backup-simplify]: Simplify (/ 1 1) into 1 32.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.961 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 32.961 * [backup-simplify]: Simplify 0 into 0 32.961 * [backup-simplify]: Simplify 0 into 0 32.961 * [backup-simplify]: Simplify (* 1 1) into 1 32.962 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 32.962 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 32.962 * [backup-simplify]: Simplify (+ 1 0) into 1 32.963 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4)))) 32.963 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 32.964 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 32.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 32.964 * [backup-simplify]: Simplify (+ 0 0) into 0 32.964 * [taylor]: Taking taylor expansion of 0 in p 32.964 * [backup-simplify]: Simplify 0 into 0 32.964 * [backup-simplify]: Simplify 0 into 0 32.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.965 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 32.965 * [backup-simplify]: Simplify 0 into 0 32.965 * [backup-simplify]: Simplify 0 into 0 32.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.966 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 32.967 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 32.967 * [backup-simplify]: Simplify (+ 0 0) into 0 32.968 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))) (* 0 (/ 1 (* 4 (pow p 2)))) (* (- (* 1/16 (/ 1 (pow p 4)))) (/ 0 (* 4 (pow p 2)))))) into 0 32.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 32.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 32.969 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1/16 (/ 1 (pow p 3))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0)))) into (- (* 0.03125 (/ 1 (pow p 3)))) 32.969 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 32.969 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 32.969 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 32.969 * [taylor]: Taking taylor expansion of 0.03125 in p 32.969 * [backup-simplify]: Simplify 0.03125 into 0.03125 32.969 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 32.969 * [taylor]: Taking taylor expansion of (pow p 3) in p 32.969 * [taylor]: Taking taylor expansion of p in p 32.969 * [backup-simplify]: Simplify 0 into 0 32.969 * [backup-simplify]: Simplify 1 into 1 32.969 * [backup-simplify]: Simplify (* 1 1) into 1 32.970 * [backup-simplify]: Simplify (* 1 1) into 1 32.970 * [backup-simplify]: Simplify (/ 1 1) into 1 32.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.975 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.975 * [backup-simplify]: Simplify (- 0) into 0 32.975 * [backup-simplify]: Simplify 0 into 0 32.975 * [backup-simplify]: Simplify 0.5 into 0.5 32.976 * [backup-simplify]: Simplify (+ (/ (/ 1 x) (/ (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) 0.5)) 0.5) into (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) 32.976 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in (x p) around 0 32.976 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 32.976 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 32.976 * [taylor]: Taking taylor expansion of 0.5 in p 32.976 * [backup-simplify]: Simplify 0.5 into 0.5 32.976 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 32.976 * [taylor]: Taking taylor expansion of (/ 1 x) in p 32.976 * [taylor]: Taking taylor expansion of x in p 32.976 * [backup-simplify]: Simplify x into x 32.976 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 32.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 32.976 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 32.976 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 32.976 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 32.976 * [taylor]: Taking taylor expansion of 4 in p 32.976 * [backup-simplify]: Simplify 4 into 4 32.976 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 32.976 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.976 * [taylor]: Taking taylor expansion of p in p 32.976 * [backup-simplify]: Simplify 0 into 0 32.976 * [backup-simplify]: Simplify 1 into 1 32.976 * [backup-simplify]: Simplify (* 1 1) into 1 32.976 * [backup-simplify]: Simplify (/ 1 1) into 1 32.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 32.976 * [taylor]: Taking taylor expansion of (pow x 2) in p 32.976 * [taylor]: Taking taylor expansion of x in p 32.976 * [backup-simplify]: Simplify x into x 32.976 * [backup-simplify]: Simplify (* x x) into (pow x 2) 32.977 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 32.977 * [backup-simplify]: Simplify (* 4 1) into 4 32.977 * [backup-simplify]: Simplify (+ 4 0) into 4 32.977 * [backup-simplify]: Simplify (/ 1 4) into 1/4 32.978 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 32.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.979 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 32.979 * [backup-simplify]: Simplify (+ 0 0) into 0 32.980 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 32.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 32.980 * [taylor]: Taking taylor expansion of 0.5 in p 32.980 * [backup-simplify]: Simplify 0.5 into 0.5 32.980 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 32.980 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 32.980 * [taylor]: Taking taylor expansion of 0.5 in x 32.980 * [backup-simplify]: Simplify 0.5 into 0.5 32.980 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 32.980 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.980 * [taylor]: Taking taylor expansion of x in x 32.980 * [backup-simplify]: Simplify 0 into 0 32.980 * [backup-simplify]: Simplify 1 into 1 32.980 * [backup-simplify]: Simplify (/ 1 1) into 1 32.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 32.981 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.981 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.981 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.981 * [taylor]: Taking taylor expansion of 4 in x 32.981 * [backup-simplify]: Simplify 4 into 4 32.981 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.981 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.981 * [taylor]: Taking taylor expansion of p in x 32.981 * [backup-simplify]: Simplify p into p 32.981 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.981 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.981 * [taylor]: Taking taylor expansion of x in x 32.981 * [backup-simplify]: Simplify 0 into 0 32.981 * [backup-simplify]: Simplify 1 into 1 32.981 * [backup-simplify]: Simplify (* 1 1) into 1 32.981 * [backup-simplify]: Simplify (/ 1 1) into 1 32.982 * [backup-simplify]: Simplify (+ 0 1) into 1 32.982 * [backup-simplify]: Simplify (/ 1 1) into 1 32.982 * [backup-simplify]: Simplify (sqrt 1) into 1 32.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.983 * [backup-simplify]: Simplify (+ 0 0) into 0 32.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.984 * [taylor]: Taking taylor expansion of 0.5 in x 32.984 * [backup-simplify]: Simplify 0.5 into 0.5 32.984 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 32.984 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 32.984 * [taylor]: Taking taylor expansion of 0.5 in x 32.984 * [backup-simplify]: Simplify 0.5 into 0.5 32.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 32.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.984 * [taylor]: Taking taylor expansion of x in x 32.984 * [backup-simplify]: Simplify 0 into 0 32.984 * [backup-simplify]: Simplify 1 into 1 32.984 * [backup-simplify]: Simplify (/ 1 1) into 1 32.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 32.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 32.984 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 32.984 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 32.984 * [taylor]: Taking taylor expansion of 4 in x 32.984 * [backup-simplify]: Simplify 4 into 4 32.984 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 32.984 * [taylor]: Taking taylor expansion of (pow p 2) in x 32.984 * [taylor]: Taking taylor expansion of p in x 32.984 * [backup-simplify]: Simplify p into p 32.984 * [backup-simplify]: Simplify (* p p) into (pow p 2) 32.984 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 32.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 32.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 32.985 * [taylor]: Taking taylor expansion of x in x 32.985 * [backup-simplify]: Simplify 0 into 0 32.985 * [backup-simplify]: Simplify 1 into 1 32.985 * [backup-simplify]: Simplify (* 1 1) into 1 32.985 * [backup-simplify]: Simplify (/ 1 1) into 1 32.985 * [backup-simplify]: Simplify (+ 0 1) into 1 32.986 * [backup-simplify]: Simplify (/ 1 1) into 1 32.986 * [backup-simplify]: Simplify (sqrt 1) into 1 32.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.987 * [backup-simplify]: Simplify (+ 0 0) into 0 32.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 32.988 * [taylor]: Taking taylor expansion of 0.5 in x 32.988 * [backup-simplify]: Simplify 0.5 into 0.5 32.988 * [backup-simplify]: Simplify (* 1 1) into 1 32.988 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 32.988 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 32.988 * [taylor]: Taking taylor expansion of 1.0 in p 32.988 * [backup-simplify]: Simplify 1.0 into 1.0 32.988 * [backup-simplify]: Simplify 1.0 into 1.0 32.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 32.990 * [backup-simplify]: Simplify (+ 0 0) into 0 32.990 * [taylor]: Taking taylor expansion of 0 in p 32.990 * [backup-simplify]: Simplify 0 into 0 32.990 * [backup-simplify]: Simplify 0 into 0 32.990 * [backup-simplify]: Simplify 0 into 0 32.990 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 32.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.991 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 32.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 32.992 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 32.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.993 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 32.994 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 32.994 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 32.994 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 32.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 32.994 * [taylor]: Taking taylor expansion of 1.0 in p 32.994 * [backup-simplify]: Simplify 1.0 into 1.0 32.994 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 32.994 * [taylor]: Taking taylor expansion of (pow p 2) in p 32.994 * [taylor]: Taking taylor expansion of p in p 32.994 * [backup-simplify]: Simplify 0 into 0 32.994 * [backup-simplify]: Simplify 1 into 1 32.994 * [backup-simplify]: Simplify (* 1 1) into 1 32.995 * [backup-simplify]: Simplify (/ 1 1) into 1 32.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 32.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 32.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.997 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 32.997 * [backup-simplify]: Simplify (- 0) into 0 32.997 * [backup-simplify]: Simplify 0 into 0 32.997 * [backup-simplify]: Simplify 0 into 0 32.997 * [backup-simplify]: Simplify 0 into 0 32.997 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 32.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 32.998 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 32.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 32.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.999 * [backup-simplify]: Simplify (+ 0 0) into 0 33.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 33.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 33.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 33.002 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 33.002 * [backup-simplify]: Simplify (+ 0 0) into 0 33.002 * [taylor]: Taking taylor expansion of 0 in p 33.002 * [backup-simplify]: Simplify 0 into 0 33.002 * [backup-simplify]: Simplify 0 into 0 33.002 * [backup-simplify]: Simplify 1.0 into 1.0 33.003 * [backup-simplify]: Simplify (+ (/ (/ 1 (- x)) (/ (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) 0.5)) 0.5) into (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) 33.003 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in (x p) around 0 33.003 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 33.003 * [taylor]: Taking taylor expansion of 0.5 in p 33.003 * [backup-simplify]: Simplify 0.5 into 0.5 33.003 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 33.003 * [taylor]: Taking taylor expansion of 0.5 in p 33.003 * [backup-simplify]: Simplify 0.5 into 0.5 33.003 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 33.003 * [taylor]: Taking taylor expansion of (/ 1 x) in p 33.003 * [taylor]: Taking taylor expansion of x in p 33.003 * [backup-simplify]: Simplify x into x 33.003 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 33.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 33.003 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 33.003 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 33.003 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.003 * [taylor]: Taking taylor expansion of 4 in p 33.003 * [backup-simplify]: Simplify 4 into 4 33.003 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.003 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.003 * [taylor]: Taking taylor expansion of p in p 33.003 * [backup-simplify]: Simplify 0 into 0 33.003 * [backup-simplify]: Simplify 1 into 1 33.003 * [backup-simplify]: Simplify (* 1 1) into 1 33.003 * [backup-simplify]: Simplify (/ 1 1) into 1 33.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 33.004 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.004 * [taylor]: Taking taylor expansion of x in p 33.004 * [backup-simplify]: Simplify x into x 33.004 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.004 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.004 * [backup-simplify]: Simplify (* 4 1) into 4 33.004 * [backup-simplify]: Simplify (+ 4 0) into 4 33.004 * [backup-simplify]: Simplify (/ 1 4) into 1/4 33.005 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 33.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.006 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.006 * [backup-simplify]: Simplify (+ 0 0) into 0 33.007 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 33.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 33.007 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 33.007 * [taylor]: Taking taylor expansion of 0.5 in x 33.007 * [backup-simplify]: Simplify 0.5 into 0.5 33.007 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.007 * [taylor]: Taking taylor expansion of 0.5 in x 33.007 * [backup-simplify]: Simplify 0.5 into 0.5 33.007 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.007 * [taylor]: Taking taylor expansion of x in x 33.007 * [backup-simplify]: Simplify 0 into 0 33.007 * [backup-simplify]: Simplify 1 into 1 33.007 * [backup-simplify]: Simplify (/ 1 1) into 1 33.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.007 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.007 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.008 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.008 * [taylor]: Taking taylor expansion of 4 in x 33.008 * [backup-simplify]: Simplify 4 into 4 33.008 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.008 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.008 * [taylor]: Taking taylor expansion of p in x 33.008 * [backup-simplify]: Simplify p into p 33.008 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.008 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.008 * [taylor]: Taking taylor expansion of x in x 33.008 * [backup-simplify]: Simplify 0 into 0 33.008 * [backup-simplify]: Simplify 1 into 1 33.008 * [backup-simplify]: Simplify (* 1 1) into 1 33.008 * [backup-simplify]: Simplify (/ 1 1) into 1 33.009 * [backup-simplify]: Simplify (+ 0 1) into 1 33.009 * [backup-simplify]: Simplify (/ 1 1) into 1 33.009 * [backup-simplify]: Simplify (sqrt 1) into 1 33.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.010 * [backup-simplify]: Simplify (+ 0 0) into 0 33.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.011 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 33.011 * [taylor]: Taking taylor expansion of 0.5 in x 33.011 * [backup-simplify]: Simplify 0.5 into 0.5 33.011 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.011 * [taylor]: Taking taylor expansion of 0.5 in x 33.011 * [backup-simplify]: Simplify 0.5 into 0.5 33.011 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.011 * [taylor]: Taking taylor expansion of x in x 33.011 * [backup-simplify]: Simplify 0 into 0 33.011 * [backup-simplify]: Simplify 1 into 1 33.011 * [backup-simplify]: Simplify (/ 1 1) into 1 33.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.011 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.011 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.011 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.011 * [taylor]: Taking taylor expansion of 4 in x 33.011 * [backup-simplify]: Simplify 4 into 4 33.011 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.011 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.011 * [taylor]: Taking taylor expansion of p in x 33.011 * [backup-simplify]: Simplify p into p 33.011 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.012 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.012 * [taylor]: Taking taylor expansion of x in x 33.012 * [backup-simplify]: Simplify 0 into 0 33.012 * [backup-simplify]: Simplify 1 into 1 33.012 * [backup-simplify]: Simplify (* 1 1) into 1 33.012 * [backup-simplify]: Simplify (/ 1 1) into 1 33.012 * [backup-simplify]: Simplify (+ 0 1) into 1 33.013 * [backup-simplify]: Simplify (/ 1 1) into 1 33.013 * [backup-simplify]: Simplify (sqrt 1) into 1 33.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.014 * [backup-simplify]: Simplify (+ 0 0) into 0 33.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.015 * [backup-simplify]: Simplify (* 1 1) into 1 33.015 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 33.015 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 33.017 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 33.017 * [taylor]: Taking taylor expansion of 0 in p 33.017 * [backup-simplify]: Simplify 0 into 0 33.017 * [backup-simplify]: Simplify 0 into 0 33.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 33.019 * [backup-simplify]: Simplify (- 0) into 0 33.019 * [backup-simplify]: Simplify (+ 0 0) into 0 33.019 * [taylor]: Taking taylor expansion of 0 in p 33.019 * [backup-simplify]: Simplify 0 into 0 33.019 * [backup-simplify]: Simplify 0 into 0 33.019 * [backup-simplify]: Simplify 0 into 0 33.019 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 33.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.020 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 33.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 33.022 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 33.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.022 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 33.023 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 33.023 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 33.023 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 33.023 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 33.023 * [taylor]: Taking taylor expansion of 1.0 in p 33.023 * [backup-simplify]: Simplify 1.0 into 1.0 33.023 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.023 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.023 * [taylor]: Taking taylor expansion of p in p 33.023 * [backup-simplify]: Simplify 0 into 0 33.023 * [backup-simplify]: Simplify 1 into 1 33.024 * [backup-simplify]: Simplify (* 1 1) into 1 33.024 * [backup-simplify]: Simplify (/ 1 1) into 1 33.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.026 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 33.026 * [backup-simplify]: Simplify 0 into 0 33.026 * [backup-simplify]: Simplify 0 into 0 33.026 * [backup-simplify]: Simplify 0 into 0 33.026 * [backup-simplify]: Simplify 0 into 0 33.026 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 33.026 * [backup-simplify]: Simplify (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) into (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) 33.026 * [approximate]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in (x p) around 0 33.026 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 33.027 * [taylor]: Taking taylor expansion of 0.5 in p 33.027 * [backup-simplify]: Simplify 0.5 into 0.5 33.027 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 33.027 * [taylor]: Taking taylor expansion of x in p 33.027 * [backup-simplify]: Simplify x into x 33.027 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 33.027 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 33.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 33.027 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.027 * [taylor]: Taking taylor expansion of x in p 33.027 * [backup-simplify]: Simplify x into x 33.027 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 33.027 * [taylor]: Taking taylor expansion of 4 in p 33.027 * [backup-simplify]: Simplify 4 into 4 33.027 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.027 * [taylor]: Taking taylor expansion of p in p 33.027 * [backup-simplify]: Simplify 0 into 0 33.027 * [backup-simplify]: Simplify 1 into 1 33.027 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.027 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 33.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.027 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 33.027 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 33.027 * [backup-simplify]: Simplify (+ 0 0) into 0 33.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 33.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 33.028 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 33.028 * [taylor]: Taking taylor expansion of 0.5 in x 33.028 * [backup-simplify]: Simplify 0.5 into 0.5 33.028 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 33.028 * [taylor]: Taking taylor expansion of x in x 33.028 * [backup-simplify]: Simplify 0 into 0 33.028 * [backup-simplify]: Simplify 1 into 1 33.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 33.028 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 33.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 33.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.028 * [taylor]: Taking taylor expansion of x in x 33.028 * [backup-simplify]: Simplify 0 into 0 33.028 * [backup-simplify]: Simplify 1 into 1 33.028 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 33.028 * [taylor]: Taking taylor expansion of 4 in x 33.028 * [backup-simplify]: Simplify 4 into 4 33.028 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.028 * [taylor]: Taking taylor expansion of p in x 33.028 * [backup-simplify]: Simplify p into p 33.028 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.028 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 33.028 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 33.028 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 33.028 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 33.028 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 33.029 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 33.029 * [backup-simplify]: Simplify (+ 0 0) into 0 33.029 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 33.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 33.029 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 33.029 * [taylor]: Taking taylor expansion of 0.5 in x 33.029 * [backup-simplify]: Simplify 0.5 into 0.5 33.029 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 33.029 * [taylor]: Taking taylor expansion of x in x 33.029 * [backup-simplify]: Simplify 0 into 0 33.029 * [backup-simplify]: Simplify 1 into 1 33.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 33.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 33.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 33.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.030 * [taylor]: Taking taylor expansion of x in x 33.030 * [backup-simplify]: Simplify 0 into 0 33.030 * [backup-simplify]: Simplify 1 into 1 33.030 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 33.030 * [taylor]: Taking taylor expansion of 4 in x 33.030 * [backup-simplify]: Simplify 4 into 4 33.030 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.030 * [taylor]: Taking taylor expansion of p in x 33.030 * [backup-simplify]: Simplify p into p 33.030 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.030 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 33.030 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 33.030 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 33.030 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 33.030 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 33.030 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 33.031 * [backup-simplify]: Simplify (+ 0 0) into 0 33.031 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 33.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 33.031 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 33.031 * [backup-simplify]: Simplify (* 0.5 0) into 0 33.031 * [taylor]: Taking taylor expansion of 0 in p 33.031 * [backup-simplify]: Simplify 0 into 0 33.031 * [backup-simplify]: Simplify 0 into 0 33.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 33.032 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 33.032 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 33.032 * [taylor]: Taking taylor expansion of 0.25 in p 33.032 * [backup-simplify]: Simplify 0.25 into 0.25 33.032 * [taylor]: Taking taylor expansion of (/ 1 p) in p 33.032 * [taylor]: Taking taylor expansion of p in p 33.032 * [backup-simplify]: Simplify 0 into 0 33.032 * [backup-simplify]: Simplify 1 into 1 33.032 * [backup-simplify]: Simplify (/ 1 1) into 1 33.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.033 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 33.033 * [backup-simplify]: Simplify 0 into 0 33.033 * [backup-simplify]: Simplify 0 into 0 33.033 * [backup-simplify]: Simplify (* 1 1) into 1 33.034 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 33.034 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 33.034 * [backup-simplify]: Simplify (+ 1 0) into 1 33.035 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4)))) 33.035 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 33.036 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 33.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 33.036 * [taylor]: Taking taylor expansion of 0 in p 33.036 * [backup-simplify]: Simplify 0 into 0 33.036 * [backup-simplify]: Simplify 0 into 0 33.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.037 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 33.037 * [backup-simplify]: Simplify 0 into 0 33.037 * [backup-simplify]: Simplify 0 into 0 33.037 * [backup-simplify]: Simplify 0 into 0 33.037 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p))))) 0.5)) into (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 33.037 * [approximate]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0 33.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 33.038 * [taylor]: Taking taylor expansion of 0.5 in p 33.038 * [backup-simplify]: Simplify 0.5 into 0.5 33.038 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 33.038 * [taylor]: Taking taylor expansion of (/ 1 x) in p 33.038 * [taylor]: Taking taylor expansion of x in p 33.038 * [backup-simplify]: Simplify x into x 33.038 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 33.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 33.038 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 33.038 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 33.038 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.038 * [taylor]: Taking taylor expansion of 4 in p 33.038 * [backup-simplify]: Simplify 4 into 4 33.038 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.038 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.038 * [taylor]: Taking taylor expansion of p in p 33.038 * [backup-simplify]: Simplify 0 into 0 33.038 * [backup-simplify]: Simplify 1 into 1 33.038 * [backup-simplify]: Simplify (* 1 1) into 1 33.038 * [backup-simplify]: Simplify (/ 1 1) into 1 33.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 33.038 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.038 * [taylor]: Taking taylor expansion of x in p 33.038 * [backup-simplify]: Simplify x into x 33.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.039 * [backup-simplify]: Simplify (* 4 1) into 4 33.039 * [backup-simplify]: Simplify (+ 4 0) into 4 33.039 * [backup-simplify]: Simplify (/ 1 4) into 1/4 33.039 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 33.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.041 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.041 * [backup-simplify]: Simplify (+ 0 0) into 0 33.042 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 33.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 33.042 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.042 * [taylor]: Taking taylor expansion of 0.5 in x 33.042 * [backup-simplify]: Simplify 0.5 into 0.5 33.042 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.042 * [taylor]: Taking taylor expansion of x in x 33.042 * [backup-simplify]: Simplify 0 into 0 33.042 * [backup-simplify]: Simplify 1 into 1 33.042 * [backup-simplify]: Simplify (/ 1 1) into 1 33.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.042 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.042 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.042 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.042 * [taylor]: Taking taylor expansion of 4 in x 33.042 * [backup-simplify]: Simplify 4 into 4 33.042 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.042 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.042 * [taylor]: Taking taylor expansion of p in x 33.042 * [backup-simplify]: Simplify p into p 33.042 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.043 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.043 * [taylor]: Taking taylor expansion of x in x 33.043 * [backup-simplify]: Simplify 0 into 0 33.043 * [backup-simplify]: Simplify 1 into 1 33.043 * [backup-simplify]: Simplify (* 1 1) into 1 33.043 * [backup-simplify]: Simplify (/ 1 1) into 1 33.043 * [backup-simplify]: Simplify (+ 0 1) into 1 33.044 * [backup-simplify]: Simplify (/ 1 1) into 1 33.044 * [backup-simplify]: Simplify (sqrt 1) into 1 33.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.045 * [backup-simplify]: Simplify (+ 0 0) into 0 33.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.046 * [taylor]: Taking taylor expansion of 0.5 in x 33.046 * [backup-simplify]: Simplify 0.5 into 0.5 33.046 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.046 * [taylor]: Taking taylor expansion of x in x 33.046 * [backup-simplify]: Simplify 0 into 0 33.046 * [backup-simplify]: Simplify 1 into 1 33.046 * [backup-simplify]: Simplify (/ 1 1) into 1 33.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.046 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.046 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.046 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.046 * [taylor]: Taking taylor expansion of 4 in x 33.046 * [backup-simplify]: Simplify 4 into 4 33.046 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.046 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.046 * [taylor]: Taking taylor expansion of p in x 33.046 * [backup-simplify]: Simplify p into p 33.046 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.046 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.046 * [taylor]: Taking taylor expansion of x in x 33.046 * [backup-simplify]: Simplify 0 into 0 33.046 * [backup-simplify]: Simplify 1 into 1 33.047 * [backup-simplify]: Simplify (* 1 1) into 1 33.047 * [backup-simplify]: Simplify (/ 1 1) into 1 33.047 * [backup-simplify]: Simplify (+ 0 1) into 1 33.047 * [backup-simplify]: Simplify (/ 1 1) into 1 33.047 * [backup-simplify]: Simplify (sqrt 1) into 1 33.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.049 * [backup-simplify]: Simplify (+ 0 0) into 0 33.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.050 * [backup-simplify]: Simplify (* 1 1) into 1 33.050 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 33.050 * [taylor]: Taking taylor expansion of 0.5 in p 33.050 * [backup-simplify]: Simplify 0.5 into 0.5 33.050 * [backup-simplify]: Simplify 0 into 0 33.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 33.051 * [taylor]: Taking taylor expansion of 0 in p 33.051 * [backup-simplify]: Simplify 0 into 0 33.051 * [backup-simplify]: Simplify 0 into 0 33.051 * [backup-simplify]: Simplify 0 into 0 33.051 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 33.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.052 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 33.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 33.054 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 33.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.055 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 33.055 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 33.055 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 33.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 33.055 * [taylor]: Taking taylor expansion of 1.0 in p 33.055 * [backup-simplify]: Simplify 1.0 into 1.0 33.055 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.055 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.055 * [taylor]: Taking taylor expansion of p in p 33.055 * [backup-simplify]: Simplify 0 into 0 33.055 * [backup-simplify]: Simplify 1 into 1 33.056 * [backup-simplify]: Simplify (* 1 1) into 1 33.056 * [backup-simplify]: Simplify (/ 1 1) into 1 33.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.059 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.060 * [backup-simplify]: Simplify (- 0) into 0 33.060 * [backup-simplify]: Simplify 0 into 0 33.060 * [backup-simplify]: Simplify 0 into 0 33.060 * [backup-simplify]: Simplify 0 into 0 33.060 * [backup-simplify]: Simplify 0 into 0 33.060 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p)))))) 0.5)) into (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 33.060 * [approximate]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in (x p) around 0 33.060 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 33.060 * [taylor]: Taking taylor expansion of -0.5 in p 33.060 * [backup-simplify]: Simplify -0.5 into -0.5 33.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 33.060 * [taylor]: Taking taylor expansion of (/ 1 x) in p 33.060 * [taylor]: Taking taylor expansion of x in p 33.060 * [backup-simplify]: Simplify x into x 33.060 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 33.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 33.060 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 33.060 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 33.060 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.060 * [taylor]: Taking taylor expansion of 4 in p 33.060 * [backup-simplify]: Simplify 4 into 4 33.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.060 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.060 * [taylor]: Taking taylor expansion of p in p 33.060 * [backup-simplify]: Simplify 0 into 0 33.060 * [backup-simplify]: Simplify 1 into 1 33.060 * [backup-simplify]: Simplify (* 1 1) into 1 33.061 * [backup-simplify]: Simplify (/ 1 1) into 1 33.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 33.061 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.061 * [taylor]: Taking taylor expansion of x in p 33.061 * [backup-simplify]: Simplify x into x 33.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.061 * [backup-simplify]: Simplify (* 4 1) into 4 33.061 * [backup-simplify]: Simplify (+ 4 0) into 4 33.062 * [backup-simplify]: Simplify (/ 1 4) into 1/4 33.062 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 33.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.063 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.063 * [backup-simplify]: Simplify (+ 0 0) into 0 33.064 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 33.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 33.064 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.064 * [taylor]: Taking taylor expansion of -0.5 in x 33.064 * [backup-simplify]: Simplify -0.5 into -0.5 33.064 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.064 * [taylor]: Taking taylor expansion of x in x 33.064 * [backup-simplify]: Simplify 0 into 0 33.064 * [backup-simplify]: Simplify 1 into 1 33.065 * [backup-simplify]: Simplify (/ 1 1) into 1 33.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.065 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.065 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.065 * [taylor]: Taking taylor expansion of 4 in x 33.065 * [backup-simplify]: Simplify 4 into 4 33.065 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.065 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.065 * [taylor]: Taking taylor expansion of p in x 33.065 * [backup-simplify]: Simplify p into p 33.065 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.065 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.065 * [taylor]: Taking taylor expansion of x in x 33.065 * [backup-simplify]: Simplify 0 into 0 33.065 * [backup-simplify]: Simplify 1 into 1 33.065 * [backup-simplify]: Simplify (* 1 1) into 1 33.065 * [backup-simplify]: Simplify (/ 1 1) into 1 33.066 * [backup-simplify]: Simplify (+ 0 1) into 1 33.066 * [backup-simplify]: Simplify (/ 1 1) into 1 33.066 * [backup-simplify]: Simplify (sqrt 1) into 1 33.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.067 * [backup-simplify]: Simplify (+ 0 0) into 0 33.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.068 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 33.068 * [taylor]: Taking taylor expansion of -0.5 in x 33.068 * [backup-simplify]: Simplify -0.5 into -0.5 33.068 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 33.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.068 * [taylor]: Taking taylor expansion of x in x 33.068 * [backup-simplify]: Simplify 0 into 0 33.068 * [backup-simplify]: Simplify 1 into 1 33.068 * [backup-simplify]: Simplify (/ 1 1) into 1 33.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 33.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 33.068 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.068 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.068 * [taylor]: Taking taylor expansion of 4 in x 33.068 * [backup-simplify]: Simplify 4 into 4 33.068 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.068 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.068 * [taylor]: Taking taylor expansion of p in x 33.068 * [backup-simplify]: Simplify p into p 33.068 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.068 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.069 * [taylor]: Taking taylor expansion of x in x 33.069 * [backup-simplify]: Simplify 0 into 0 33.069 * [backup-simplify]: Simplify 1 into 1 33.069 * [backup-simplify]: Simplify (* 1 1) into 1 33.069 * [backup-simplify]: Simplify (/ 1 1) into 1 33.069 * [backup-simplify]: Simplify (+ 0 1) into 1 33.070 * [backup-simplify]: Simplify (/ 1 1) into 1 33.070 * [backup-simplify]: Simplify (sqrt 1) into 1 33.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.071 * [backup-simplify]: Simplify (+ 0 0) into 0 33.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 33.072 * [backup-simplify]: Simplify (* 1 1) into 1 33.072 * [backup-simplify]: Simplify (* -0.5 1) into -0.5 33.072 * [taylor]: Taking taylor expansion of -0.5 in p 33.072 * [backup-simplify]: Simplify -0.5 into -0.5 33.072 * [backup-simplify]: Simplify 0 into 0 33.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.073 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 1)) into 0 33.073 * [taylor]: Taking taylor expansion of 0 in p 33.073 * [backup-simplify]: Simplify 0 into 0 33.073 * [backup-simplify]: Simplify 0 into 0 33.074 * [backup-simplify]: Simplify 0 into 0 33.074 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 33.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.075 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 33.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 33.076 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 33.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.077 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 33.077 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (* 1.0 (/ 1 (pow p 2))) 33.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 33.077 * [taylor]: Taking taylor expansion of 1.0 in p 33.077 * [backup-simplify]: Simplify 1.0 into 1.0 33.078 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.078 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.078 * [taylor]: Taking taylor expansion of p in p 33.078 * [backup-simplify]: Simplify 0 into 0 33.078 * [backup-simplify]: Simplify 1 into 1 33.078 * [backup-simplify]: Simplify (* 1 1) into 1 33.078 * [backup-simplify]: Simplify (/ 1 1) into 1 33.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 33.082 * [backup-simplify]: Simplify (+ (* x x) (* p (* 4 p))) into (+ (pow x 2) (* 4 (pow p 2))) 33.082 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in (x p) around 0 33.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 33.082 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.082 * [taylor]: Taking taylor expansion of x in p 33.082 * [backup-simplify]: Simplify x into x 33.082 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 33.082 * [taylor]: Taking taylor expansion of 4 in p 33.082 * [backup-simplify]: Simplify 4 into 4 33.082 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.082 * [taylor]: Taking taylor expansion of p in p 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 1 into 1 33.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 33.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.082 * [taylor]: Taking taylor expansion of x in x 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 1 into 1 33.082 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 33.082 * [taylor]: Taking taylor expansion of 4 in x 33.082 * [backup-simplify]: Simplify 4 into 4 33.082 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.082 * [taylor]: Taking taylor expansion of p in x 33.082 * [backup-simplify]: Simplify p into p 33.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 33.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.082 * [taylor]: Taking taylor expansion of x in x 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify 1 into 1 33.082 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 33.082 * [taylor]: Taking taylor expansion of 4 in x 33.082 * [backup-simplify]: Simplify 4 into 4 33.082 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.082 * [taylor]: Taking taylor expansion of p in x 33.082 * [backup-simplify]: Simplify p into p 33.083 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.083 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 33.083 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 33.083 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 33.083 * [taylor]: Taking taylor expansion of 4 in p 33.083 * [backup-simplify]: Simplify 4 into 4 33.083 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.083 * [taylor]: Taking taylor expansion of p in p 33.083 * [backup-simplify]: Simplify 0 into 0 33.083 * [backup-simplify]: Simplify 1 into 1 33.083 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 33.083 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 33.083 * [backup-simplify]: Simplify (+ 0 0) into 0 33.083 * [taylor]: Taking taylor expansion of 0 in p 33.083 * [backup-simplify]: Simplify 0 into 0 33.083 * [backup-simplify]: Simplify 0 into 0 33.084 * [backup-simplify]: Simplify (* 1 1) into 1 33.084 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 33.085 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 33.085 * [backup-simplify]: Simplify (+ 1 0) into 1 33.085 * [taylor]: Taking taylor expansion of 1 in p 33.085 * [backup-simplify]: Simplify 1 into 1 33.085 * [backup-simplify]: Simplify 1 into 1 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify (* 1 1) into 1 33.085 * [backup-simplify]: Simplify (* 4 1) into 4 33.085 * [backup-simplify]: Simplify 4 into 4 33.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.086 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 33.087 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 33.087 * [backup-simplify]: Simplify (+ 0 0) into 0 33.087 * [taylor]: Taking taylor expansion of 0 in p 33.087 * [backup-simplify]: Simplify 0 into 0 33.087 * [backup-simplify]: Simplify 0 into 0 33.087 * [backup-simplify]: Simplify 0 into 0 33.087 * [backup-simplify]: Simplify 0 into 0 33.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.088 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.088 * [backup-simplify]: Simplify 0 into 0 33.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.089 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 p))))) into 0 33.090 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2)))))) into 0 33.091 * [backup-simplify]: Simplify (+ 0 0) into 0 33.091 * [taylor]: Taking taylor expansion of 0 in p 33.091 * [backup-simplify]: Simplify 0 into 0 33.091 * [backup-simplify]: Simplify 0 into 0 33.091 * [backup-simplify]: Simplify 0 into 0 33.091 * [backup-simplify]: Simplify (+ (* 4 (pow (* p 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 33.091 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 p) (* 4 (/ 1 p)))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 33.091 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 33.091 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 33.091 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.091 * [taylor]: Taking taylor expansion of 4 in p 33.091 * [backup-simplify]: Simplify 4 into 4 33.091 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.091 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.091 * [taylor]: Taking taylor expansion of p in p 33.091 * [backup-simplify]: Simplify 0 into 0 33.091 * [backup-simplify]: Simplify 1 into 1 33.091 * [backup-simplify]: Simplify (* 1 1) into 1 33.092 * [backup-simplify]: Simplify (/ 1 1) into 1 33.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 33.092 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.092 * [taylor]: Taking taylor expansion of x in p 33.092 * [backup-simplify]: Simplify x into x 33.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.092 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.092 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.092 * [taylor]: Taking taylor expansion of 4 in x 33.092 * [backup-simplify]: Simplify 4 into 4 33.092 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.092 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.092 * [taylor]: Taking taylor expansion of p in x 33.092 * [backup-simplify]: Simplify p into p 33.092 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.092 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.092 * [taylor]: Taking taylor expansion of x in x 33.092 * [backup-simplify]: Simplify 0 into 0 33.092 * [backup-simplify]: Simplify 1 into 1 33.092 * [backup-simplify]: Simplify (* 1 1) into 1 33.093 * [backup-simplify]: Simplify (/ 1 1) into 1 33.093 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.093 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.093 * [taylor]: Taking taylor expansion of 4 in x 33.093 * [backup-simplify]: Simplify 4 into 4 33.093 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.093 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.093 * [taylor]: Taking taylor expansion of p in x 33.093 * [backup-simplify]: Simplify p into p 33.093 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.093 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.093 * [taylor]: Taking taylor expansion of x in x 33.093 * [backup-simplify]: Simplify 0 into 0 33.093 * [backup-simplify]: Simplify 1 into 1 33.093 * [backup-simplify]: Simplify (* 1 1) into 1 33.093 * [backup-simplify]: Simplify (/ 1 1) into 1 33.094 * [backup-simplify]: Simplify (+ 0 1) into 1 33.094 * [taylor]: Taking taylor expansion of 1 in p 33.094 * [backup-simplify]: Simplify 1 into 1 33.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.095 * [backup-simplify]: Simplify (+ 0 0) into 0 33.095 * [taylor]: Taking taylor expansion of 0 in p 33.095 * [backup-simplify]: Simplify 0 into 0 33.095 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 33.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.096 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 33.096 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.096 * [taylor]: Taking taylor expansion of 4 in p 33.096 * [backup-simplify]: Simplify 4 into 4 33.096 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.096 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.096 * [taylor]: Taking taylor expansion of p in p 33.096 * [backup-simplify]: Simplify 0 into 0 33.096 * [backup-simplify]: Simplify 1 into 1 33.096 * [backup-simplify]: Simplify (* 1 1) into 1 33.097 * [backup-simplify]: Simplify (/ 1 1) into 1 33.097 * [backup-simplify]: Simplify (* 4 1) into 4 33.097 * [backup-simplify]: Simplify 4 into 4 33.097 * [backup-simplify]: Simplify 1 into 1 33.097 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 33.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 33.097 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 33.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.099 * [backup-simplify]: Simplify (+ 0 0) into 0 33.099 * [taylor]: Taking taylor expansion of 0 in p 33.099 * [backup-simplify]: Simplify 0 into 0 33.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.100 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.100 * [backup-simplify]: Simplify 0 into 0 33.100 * [backup-simplify]: Simplify 0 into 0 33.100 * [backup-simplify]: Simplify 0 into 0 33.102 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 33.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 33.102 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 33.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.104 * [backup-simplify]: Simplify (+ 0 0) into 0 33.104 * [taylor]: Taking taylor expansion of 0 in p 33.104 * [backup-simplify]: Simplify 0 into 0 33.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.105 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 33.105 * [backup-simplify]: Simplify 0 into 0 33.105 * [backup-simplify]: Simplify 0 into 0 33.105 * [backup-simplify]: Simplify 0 into 0 33.106 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4 (pow (* (/ 1 (/ 1 p)) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 33.106 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- p)) (* 4 (/ 1 (- p))))) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 33.106 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 33.106 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 33.106 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.106 * [taylor]: Taking taylor expansion of 4 in p 33.106 * [backup-simplify]: Simplify 4 into 4 33.106 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.106 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.106 * [taylor]: Taking taylor expansion of p in p 33.106 * [backup-simplify]: Simplify 0 into 0 33.106 * [backup-simplify]: Simplify 1 into 1 33.106 * [backup-simplify]: Simplify (* 1 1) into 1 33.106 * [backup-simplify]: Simplify (/ 1 1) into 1 33.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 33.106 * [taylor]: Taking taylor expansion of (pow x 2) in p 33.106 * [taylor]: Taking taylor expansion of x in p 33.106 * [backup-simplify]: Simplify x into x 33.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 33.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 33.107 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.107 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.107 * [taylor]: Taking taylor expansion of 4 in x 33.107 * [backup-simplify]: Simplify 4 into 4 33.107 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.107 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.107 * [taylor]: Taking taylor expansion of p in x 33.107 * [backup-simplify]: Simplify p into p 33.107 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.107 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.107 * [taylor]: Taking taylor expansion of x in x 33.107 * [backup-simplify]: Simplify 0 into 0 33.107 * [backup-simplify]: Simplify 1 into 1 33.107 * [backup-simplify]: Simplify (* 1 1) into 1 33.107 * [backup-simplify]: Simplify (/ 1 1) into 1 33.107 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 33.107 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 33.107 * [taylor]: Taking taylor expansion of 4 in x 33.107 * [backup-simplify]: Simplify 4 into 4 33.107 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 33.107 * [taylor]: Taking taylor expansion of (pow p 2) in x 33.107 * [taylor]: Taking taylor expansion of p in x 33.107 * [backup-simplify]: Simplify p into p 33.107 * [backup-simplify]: Simplify (* p p) into (pow p 2) 33.108 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 33.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 33.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 33.108 * [taylor]: Taking taylor expansion of x in x 33.108 * [backup-simplify]: Simplify 0 into 0 33.108 * [backup-simplify]: Simplify 1 into 1 33.108 * [backup-simplify]: Simplify (* 1 1) into 1 33.108 * [backup-simplify]: Simplify (/ 1 1) into 1 33.108 * [backup-simplify]: Simplify (+ 0 1) into 1 33.109 * [taylor]: Taking taylor expansion of 1 in p 33.109 * [backup-simplify]: Simplify 1 into 1 33.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.110 * [backup-simplify]: Simplify (+ 0 0) into 0 33.110 * [taylor]: Taking taylor expansion of 0 in p 33.110 * [backup-simplify]: Simplify 0 into 0 33.110 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 33.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.111 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 33.111 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 33.111 * [taylor]: Taking taylor expansion of 4 in p 33.111 * [backup-simplify]: Simplify 4 into 4 33.111 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 33.111 * [taylor]: Taking taylor expansion of (pow p 2) in p 33.111 * [taylor]: Taking taylor expansion of p in p 33.111 * [backup-simplify]: Simplify 0 into 0 33.111 * [backup-simplify]: Simplify 1 into 1 33.111 * [backup-simplify]: Simplify (* 1 1) into 1 33.111 * [backup-simplify]: Simplify (/ 1 1) into 1 33.112 * [backup-simplify]: Simplify (* 4 1) into 4 33.112 * [backup-simplify]: Simplify 4 into 4 33.112 * [backup-simplify]: Simplify 1 into 1 33.112 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 33.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 33.112 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 33.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 33.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.114 * [backup-simplify]: Simplify (+ 0 0) into 0 33.114 * [taylor]: Taking taylor expansion of 0 in p 33.114 * [backup-simplify]: Simplify 0 into 0 33.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 33.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.115 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 33.115 * [backup-simplify]: Simplify 0 into 0 33.115 * [backup-simplify]: Simplify 0 into 0 33.115 * [backup-simplify]: Simplify 0 into 0 33.115 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 33.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 33.116 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 33.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 33.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.117 * [backup-simplify]: Simplify (+ 0 0) into 0 33.117 * [taylor]: Taking taylor expansion of 0 in p 33.117 * [backup-simplify]: Simplify 0 into 0 33.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 33.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.119 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 33.119 * [backup-simplify]: Simplify 0 into 0 33.119 * [backup-simplify]: Simplify 0 into 0 33.119 * [backup-simplify]: Simplify 0 into 0 33.119 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4 (pow (* (/ 1 (/ 1 (- p))) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 33.119 * * * [progress]: simplifying candidates 33.119 * * * * [progress]: [ 1 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 2 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 3 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 4 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 5 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 6 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 7 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 8 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 9 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 10 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 11 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 12 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 13 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 14 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 15 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 16 / 162 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* p (* 4 p)))))) 0.5)) 0.5)))> 33.120 * * * * [progress]: [ 17 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 18 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 19 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 20 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 21 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 22 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 23 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 24 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 25 / 162 ] simplifiying candidate # 33.120 * * * * [progress]: [ 26 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 27 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 28 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 29 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 30 / 162 ] simplifiying candidate #real (real->posit16 (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)))))> 33.121 * * * * [progress]: [ 31 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 32 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 33 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 34 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 35 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 36 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 37 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 38 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 39 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 40 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 41 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 42 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 43 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 44 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 45 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 46 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 47 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 48 / 162 ] simplifiying candidate # 33.121 * * * * [progress]: [ 49 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 50 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 51 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 52 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 53 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 54 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 55 / 162 ] simplifiying candidate # 33.122 * * * * [progress]: [ 56 / 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candidate # 33.123 * * * * [progress]: [ 72 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 73 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 74 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 75 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 76 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 77 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 78 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 79 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 80 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 81 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 82 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 83 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 84 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 85 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 86 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 87 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 88 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 89 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 90 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 91 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 92 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 93 / 162 ] simplifiying candidate # 33.123 * * * * [progress]: [ 94 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 95 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 96 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 97 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 98 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 99 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 100 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 101 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 102 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 103 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 104 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 105 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 106 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 107 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 108 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 109 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 110 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 111 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 112 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 113 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 114 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 115 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 116 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 117 / 162 ] simplifiying candidate # 33.124 * * * * [progress]: [ 118 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 119 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 120 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 121 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 122 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 123 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 124 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 125 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 126 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 127 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 128 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 129 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 130 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 131 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 132 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 133 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 134 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 135 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 136 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 137 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 138 / 162 ] simplifiying candidate #real (real->posit16 (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)))) 0.5)))> 33.125 * * * * [progress]: [ 139 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 140 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 141 / 162 ] simplifiying candidate # 33.125 * * * * [progress]: [ 142 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 143 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 144 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 145 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 146 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 147 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 148 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 149 / 162 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* p (* 4 p)))))) 0.5)) 0.5)))> 33.126 * * * * [progress]: [ 150 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 151 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 152 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 153 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 154 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 155 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 156 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 157 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 158 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 159 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 160 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 161 / 162 ] simplifiying candidate # 33.126 * * * * [progress]: [ 162 / 162 ] simplifiying candidate # 33.128 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* p (* 4 p))))) (exp (sqrt (+ (* x x) (* p (* 4 p))))) (* (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p)))))) (cbrt (sqrt (+ (* x x) (* p (* 4 p))))) (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (* (cbrt (+ (* x x) (* p (* 4 p)))) (cbrt (+ (* x x) (* p (* 4 p)))))) (sqrt (cbrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt 1) (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p)))))) (sqrt (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p))))) (sqrt (- (* x x) (* p (* 4 p)))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (sqrt (+ (* x x) (* p (* 4 p))))) (real->posit16 (sqrt (+ (* x x) (* p (* 4 p))))) (* (exp (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (exp 0.5)) (log (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (exp (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (* (cbrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (cbrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5))) (cbrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (* (* (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5) (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (sqrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (sqrt (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (+ (pow (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 3) (pow 0.5 3)) (+ (* (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (- (* 0.5 0.5) (* (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5))) (- (* (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (* 0.5 0.5)) (- (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5) (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5) (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1) (+ (/ x (sqrt (+ (* x x) (* p (* 4 p))))) 1) (real->posit16 (+ (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) 0.5)) (- (log x) (- (log (sqrt (+ (* x x) (* p (* 4 p))))) (log 0.5))) (- (log x) (log (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (log (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (exp (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (/ (* (* x x) x) (/ (* (* (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p))))) (sqrt (+ (* x x) (* p (* 4 p))))) (* (* 0.5 0.5) 0.5))) (/ (* (* x x) x) (* (* (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5) (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5)) (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (* (cbrt (/ x (/ (sqrt (+ (* x x) (* p (* 4 p)))) 0.5))) (cbrt (/ 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p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p)))) (sqrt (+ (* x x) (* p (* 4 p)))) (+ (pow (* x x) 3) (pow (* p (* 4 p)) 3)) (+ (* (* x x) (* x x)) (- (* (* p (* 4 p)) (* p (* 4 p))) (* (* x x) (* p (* 4 p))))) (- (* (* x x) (* x x)) (* (* p (* 4 p)) (* p (* 4 p)))) (- (* x x) (* p (* 4 p))) (real->posit16 (+ (* x x) (* p (* 4 p)))) (* 2 p) x (* -1 x) 0.5 1.0 0 0 0 0 (+ (pow x 2) (* 4 (pow p 2))) (+ (pow x 2) (* 4 (pow p 2))) (+ (pow x 2) (* 4 (pow p 2))) 33.131 * * [simplify]: iteration 0: 257 enodes 33.207 * * [simplify]: iteration 1: 672 enodes 33.388 * * [simplify]: iteration 2: 2235 enodes 33.888 * * [simplify]: iteration complete: 5005 enodes 33.888 * * [simplify]: Extracting #0: cost 158 inf + 0 33.890 * * [simplify]: Extracting #1: cost 678 inf + 294 33.894 * * [simplify]: Extracting #2: cost 1518 inf + 5648 33.902 * * [simplify]: Extracting #3: cost 1694 inf + 36307 33.931 * * [simplify]: Extracting #4: cost 1049 inf + 168282 33.989 * * [simplify]: Extracting #5: cost 367 inf + 393562 34.078 * * [simplify]: Extracting #6: cost 15 inf + 534801 34.170 * * [simplify]: Extracting #7: cost 0 inf + 541832 34.264 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (* x x) (* x x)) (* (* (* p 4) p) (- (* (* p 4) p) (* x x))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) 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x) (* (* p 4) p))))) 0.5) (* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt x)))) (/ (* (cbrt x) (cbrt 0.5)) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt x)))) (/ (* (cbrt x) (sqrt 0.5)) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (cbrt x) (/ (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt x))) (* (/ (cbrt x) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) 0.5) (* (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt 0.5) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (sqrt 0.5)) (* (sqrt 0.5) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (* 0.5 (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt x) (cbrt x))) (/ (* (cbrt x) (cbrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (cbrt x) (cbrt x)) (sqrt 0.5)) (* (sqrt 0.5) (/ (cbrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (* (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt 0.5) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (sqrt 0.5)) (* (sqrt 0.5) (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt x)) (* 0.5 (/ (cbrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt x) (cbrt x))) (/ (* (cbrt x) (cbrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (cbrt x) (cbrt x)) (sqrt 0.5)) (* (sqrt 0.5) (/ (cbrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (/ (cbrt x) (/ (sqrt (+ (* x x) (* (* p 4) p))) (cbrt x))) (* 0.5 (cbrt x)) (/ (sqrt x) (* (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)))) (/ (sqrt x) (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ (sqrt x) (sqrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ (sqrt x) (sqrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ (sqrt x) (* (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5)) (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5)))) (/ (* (sqrt x) (cbrt 0.5)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (sqrt x) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 0.5)))) (/ (* (sqrt x) (sqrt 0.5)) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (/ (sqrt x) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (cbrt 0.5) (cbrt 0.5)) (/ (sqrt x) (fabs (cbrt (+ (* x x) (* (* p 4) p)))))) (/ (sqrt x) (/ (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5))) (/ (* (sqrt x) (sqrt 0.5)) (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* (sqrt x) (sqrt 0.5)) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (sqrt x) (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (/ (sqrt x) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))))) (/ (sqrt x) (/ (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt 0.5) (cbrt 0.5)))) (/ (* (sqrt x) (cbrt 0.5)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt x) (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt 0.5) (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt x) (sqrt 0.5)) (/ (* (sqrt x) (sqrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt x) (* 0.5 (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (sqrt x) (/ (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt 0.5) (cbrt 0.5)))) (/ (* (sqrt x) (cbrt 0.5)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt 0.5) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 (/ (sqrt x) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt x) (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt 0.5) (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt x) (sqrt 0.5)) (/ (* (sqrt x) (sqrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt x) (* 0.5 (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt x) (* 0.5 (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p)))) (* (sqrt x) 0.5) (/ 1 (* (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)))) (/ x (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ 1 (sqrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ x (sqrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ x (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5))) (/ (sqrt 0.5) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (sqrt 0.5) (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* 0.5 (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* (cbrt 0.5) (cbrt 0.5)) (/ 1 (fabs (cbrt (+ (* x x) (* (* p 4) p)))))) (/ (* x (cbrt 0.5)) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (* (/ 1 (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt 0.5)) (/ (* x (sqrt 0.5)) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ 1 (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (sqrt (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt 0.5)) (/ (sqrt 0.5) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (cbrt 0.5) (cbrt 0.5)) (/ (* x (cbrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 0.5) (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt 0.5)) (/ (sqrt 0.5) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ 1 (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (/ (* x 0.5) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (cbrt 0.5) (cbrt 0.5)) (/ (* x (cbrt 0.5)) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 0.5) (* (sqrt 0.5) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) 1 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (/ 1 (sqrt (+ (* x x) (* (* p 4) p)))) (* x 0.5) (/ 0.5 (sqrt (+ (* x x) (* (* p 4) p)))) (/ (sqrt (+ (* x x) (* (* p 4) p))) (* x 0.5)) (/ x (* (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)) (cbrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5)))) (/ x (sqrt (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5))) (/ x (* (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5)) (/ (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt 0.5)))) (* (/ (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (sqrt 0.5)) (/ (/ x (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (* (cbrt 0.5) (cbrt 0.5)) (/ x (fabs (cbrt (+ (* x x) (* (* p 4) p)))))) (* (/ x (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt 0.5)) (/ x (fabs (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x (* (cbrt 0.5) (cbrt 0.5))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* x (* (cbrt 0.5) (cbrt 0.5))) (* x (sqrt 0.5)) x (/ (* x (* (cbrt 0.5) (cbrt 0.5))) (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt 0.5) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p)))))) (/ x (sqrt (sqrt (+ (* x x) (* (* p 4) p))))) (* x (* (cbrt 0.5) (cbrt 0.5))) (* x (sqrt 0.5)) x x (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (/ (sqrt (+ (* x x) (* (* p 4) p))) (cbrt x)) 0.5) (/ (/ (sqrt (+ (* x x) (* (* p 4) p))) 0.5) (sqrt x)) (/ (sqrt (+ (* x x) (* (* p 4) p))) (* x 0.5)) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (exp (+ (* x x) (* (* p 4) p))) (log (+ (* x x) (* (* p 4) p))) (exp (+ (* x x) (* (* p 4) p))) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p))) (* (+ (* x x) (* (* p 4) p)) (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p))) (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (* (* p 4) p) (- (* (* p 4) p) (* x x)))) (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p))) (- (* x x) (* (* p 4) p)) (real->posit16 (+ (* x x) (* (* p 4) p))) (* p 2) x (- x) 0.5 1.0 0 0 0 0 (+ (* x x) (* (* p 2) (* p 2))) (+ (* x x) (* (* p 2) (* p 2))) (+ (* x x) (* (* p 2) (* p 2))) 34.282 * * * [progress]: adding candidates to table 34.788 * * [progress]: iteration 2 / 4 34.788 * * * [progress]: picking best candidate 34.796 * * * * [pick]: Picked # 34.796 * * * [progress]: localizing error 34.845 * * * [progress]: generating rewritten candidates 34.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2) 34.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2) 34.859 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 34.867 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 34.886 * * * [progress]: generating series expansions 34.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2) 34.886 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 34.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 34.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 34.886 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 34.886 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.886 * [taylor]: Taking taylor expansion of x in p 34.886 * [backup-simplify]: Simplify x into x 34.886 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 34.886 * [taylor]: Taking taylor expansion of 4 in p 34.886 * [backup-simplify]: Simplify 4 into 4 34.886 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.886 * [taylor]: Taking taylor expansion of p in p 34.886 * [backup-simplify]: Simplify 0 into 0 34.886 * [backup-simplify]: Simplify 1 into 1 34.886 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.886 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 34.886 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 34.886 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 34.887 * [backup-simplify]: Simplify (+ 0 0) into 0 34.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 34.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.887 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.887 * [taylor]: Taking taylor expansion of x in x 34.887 * [backup-simplify]: Simplify 0 into 0 34.887 * [backup-simplify]: Simplify 1 into 1 34.887 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.887 * [taylor]: Taking taylor expansion of 4 in x 34.887 * [backup-simplify]: Simplify 4 into 4 34.887 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.887 * [taylor]: Taking taylor expansion of p in x 34.887 * [backup-simplify]: Simplify p into p 34.887 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.887 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.887 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.887 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.887 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.888 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.888 * [backup-simplify]: Simplify (+ 0 0) into 0 34.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.888 * [taylor]: Taking taylor expansion of x in x 34.888 * [backup-simplify]: Simplify 0 into 0 34.888 * [backup-simplify]: Simplify 1 into 1 34.888 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.888 * [taylor]: Taking taylor expansion of 4 in x 34.888 * [backup-simplify]: Simplify 4 into 4 34.888 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.888 * [taylor]: Taking taylor expansion of p in x 34.888 * [backup-simplify]: Simplify p into p 34.888 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.888 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.889 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.889 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.889 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.889 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.889 * [backup-simplify]: Simplify (+ 0 0) into 0 34.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.889 * [taylor]: Taking taylor expansion of (* 2 p) in p 34.889 * [taylor]: Taking taylor expansion of 2 in p 34.889 * [backup-simplify]: Simplify 2 into 2 34.890 * [taylor]: Taking taylor expansion of p in p 34.890 * [backup-simplify]: Simplify 0 into 0 34.890 * [backup-simplify]: Simplify 1 into 1 34.890 * [backup-simplify]: Simplify (* 2 0) into 0 34.890 * [backup-simplify]: Simplify 0 into 0 34.890 * [taylor]: Taking taylor expansion of 0 in p 34.890 * [backup-simplify]: Simplify 0 into 0 34.890 * [backup-simplify]: Simplify 0 into 0 34.890 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 34.890 * [backup-simplify]: Simplify 2 into 2 34.891 * [backup-simplify]: Simplify (* 1 1) into 1 34.891 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 34.891 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 34.892 * [backup-simplify]: Simplify (+ 1 0) into 1 34.892 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 34.892 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 34.892 * [taylor]: Taking taylor expansion of 1/4 in p 34.892 * [backup-simplify]: Simplify 1/4 into 1/4 34.892 * [taylor]: Taking taylor expansion of p in p 34.892 * [backup-simplify]: Simplify 0 into 0 34.892 * [backup-simplify]: Simplify 1 into 1 34.893 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 34.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 34.893 * [backup-simplify]: Simplify 0 into 0 34.893 * [backup-simplify]: Simplify 0 into 0 34.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 34.894 * [backup-simplify]: Simplify 0 into 0 34.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.895 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 34.896 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 34.896 * [backup-simplify]: Simplify (+ 0 0) into 0 34.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 34.896 * [taylor]: Taking taylor expansion of 0 in p 34.896 * [backup-simplify]: Simplify 0 into 0 34.896 * [backup-simplify]: Simplify 0 into 0 34.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.896 * [backup-simplify]: Simplify 0 into 0 34.897 * [backup-simplify]: Simplify 0 into 0 34.897 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 34.897 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 34.897 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 34.897 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 34.897 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 34.897 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 34.897 * [taylor]: Taking taylor expansion of 4 in p 34.897 * [backup-simplify]: Simplify 4 into 4 34.897 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 34.897 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.897 * [taylor]: Taking taylor expansion of p in p 34.897 * [backup-simplify]: Simplify 0 into 0 34.897 * [backup-simplify]: Simplify 1 into 1 34.897 * [backup-simplify]: Simplify (* 1 1) into 1 34.897 * [backup-simplify]: Simplify (/ 1 1) into 1 34.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 34.897 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.897 * [taylor]: Taking taylor expansion of x in p 34.897 * [backup-simplify]: Simplify x into x 34.897 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.898 * [backup-simplify]: Simplify (* 4 1) into 4 34.898 * [backup-simplify]: Simplify (+ 4 0) into 4 34.898 * [backup-simplify]: Simplify (sqrt 4) into 2 34.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.900 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 34.900 * [backup-simplify]: Simplify (+ 0 0) into 0 34.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 34.900 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.900 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.900 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.900 * [taylor]: Taking taylor expansion of 4 in x 34.900 * [backup-simplify]: Simplify 4 into 4 34.900 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.900 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.900 * [taylor]: Taking taylor expansion of p in x 34.900 * [backup-simplify]: Simplify p into p 34.900 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.900 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.900 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.901 * [taylor]: Taking taylor expansion of x in x 34.901 * [backup-simplify]: Simplify 0 into 0 34.901 * [backup-simplify]: Simplify 1 into 1 34.901 * [backup-simplify]: Simplify (* 1 1) into 1 34.901 * [backup-simplify]: Simplify (/ 1 1) into 1 34.901 * [backup-simplify]: Simplify (+ 0 1) into 1 34.902 * [backup-simplify]: Simplify (sqrt 1) into 1 34.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.903 * [backup-simplify]: Simplify (+ 0 0) into 0 34.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.903 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.903 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.903 * [taylor]: Taking taylor expansion of 4 in x 34.903 * [backup-simplify]: Simplify 4 into 4 34.903 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.903 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.903 * [taylor]: Taking taylor expansion of p in x 34.903 * [backup-simplify]: Simplify p into p 34.903 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.903 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.903 * [taylor]: Taking taylor expansion of x in x 34.903 * [backup-simplify]: Simplify 0 into 0 34.903 * [backup-simplify]: Simplify 1 into 1 34.904 * [backup-simplify]: Simplify (* 1 1) into 1 34.904 * [backup-simplify]: Simplify (/ 1 1) into 1 34.904 * [backup-simplify]: Simplify (+ 0 1) into 1 34.904 * [backup-simplify]: Simplify (sqrt 1) into 1 34.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.905 * [backup-simplify]: Simplify (+ 0 0) into 0 34.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.906 * [taylor]: Taking taylor expansion of 1 in p 34.906 * [backup-simplify]: Simplify 1 into 1 34.906 * [taylor]: Taking taylor expansion of 0 in p 34.906 * [backup-simplify]: Simplify 0 into 0 34.906 * [backup-simplify]: Simplify 1 into 1 34.906 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 34.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.907 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 34.908 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 34.908 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 34.908 * [taylor]: Taking taylor expansion of 2 in p 34.908 * [backup-simplify]: Simplify 2 into 2 34.908 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.908 * [taylor]: Taking taylor expansion of p in p 34.908 * [backup-simplify]: Simplify 0 into 0 34.908 * [backup-simplify]: Simplify 1 into 1 34.908 * [backup-simplify]: Simplify (* 1 1) into 1 34.908 * [backup-simplify]: Simplify (/ 2 1) into 2 34.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 34.909 * [backup-simplify]: Simplify 0 into 0 34.909 * [backup-simplify]: Simplify 0 into 0 34.909 * [backup-simplify]: Simplify 0 into 0 34.910 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 34.910 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 34.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.911 * [backup-simplify]: Simplify (+ 0 0) into 0 34.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 34.912 * [taylor]: Taking taylor expansion of 0 in p 34.912 * [backup-simplify]: Simplify 0 into 0 34.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.913 * [backup-simplify]: Simplify 0 into 0 34.913 * [backup-simplify]: Simplify 0 into 0 34.913 * [backup-simplify]: Simplify 0 into 0 34.913 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 34.913 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 34.913 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 34.913 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 34.913 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 34.913 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 34.913 * [taylor]: Taking taylor expansion of 4 in p 34.913 * [backup-simplify]: Simplify 4 into 4 34.913 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 34.913 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.913 * [taylor]: Taking taylor expansion of p in p 34.913 * [backup-simplify]: Simplify 0 into 0 34.913 * [backup-simplify]: Simplify 1 into 1 34.914 * [backup-simplify]: Simplify (* 1 1) into 1 34.914 * [backup-simplify]: Simplify (/ 1 1) into 1 34.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 34.914 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.914 * [taylor]: Taking taylor expansion of x in p 34.914 * [backup-simplify]: Simplify x into x 34.914 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.914 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.914 * [backup-simplify]: Simplify (* 4 1) into 4 34.915 * [backup-simplify]: Simplify (+ 4 0) into 4 34.915 * [backup-simplify]: Simplify (sqrt 4) into 2 34.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.916 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 34.916 * [backup-simplify]: Simplify (+ 0 0) into 0 34.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 34.917 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.917 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.917 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.917 * [taylor]: Taking taylor expansion of 4 in x 34.917 * [backup-simplify]: Simplify 4 into 4 34.917 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.917 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.917 * [taylor]: Taking taylor expansion of p in x 34.917 * [backup-simplify]: Simplify p into p 34.917 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.917 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.917 * [taylor]: Taking taylor expansion of x in x 34.917 * [backup-simplify]: Simplify 0 into 0 34.917 * [backup-simplify]: Simplify 1 into 1 34.917 * [backup-simplify]: Simplify (* 1 1) into 1 34.917 * [backup-simplify]: Simplify (/ 1 1) into 1 34.918 * [backup-simplify]: Simplify (+ 0 1) into 1 34.918 * [backup-simplify]: Simplify (sqrt 1) into 1 34.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.919 * [backup-simplify]: Simplify (+ 0 0) into 0 34.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.919 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.919 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.919 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.919 * [taylor]: Taking taylor expansion of 4 in x 34.919 * [backup-simplify]: Simplify 4 into 4 34.919 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.919 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.919 * [taylor]: Taking taylor expansion of p in x 34.920 * [backup-simplify]: Simplify p into p 34.920 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.920 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.920 * [taylor]: Taking taylor expansion of x in x 34.920 * [backup-simplify]: Simplify 0 into 0 34.920 * [backup-simplify]: Simplify 1 into 1 34.920 * [backup-simplify]: Simplify (* 1 1) into 1 34.920 * [backup-simplify]: Simplify (/ 1 1) into 1 34.920 * [backup-simplify]: Simplify (+ 0 1) into 1 34.921 * [backup-simplify]: Simplify (sqrt 1) into 1 34.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.922 * [backup-simplify]: Simplify (+ 0 0) into 0 34.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.922 * [taylor]: Taking taylor expansion of 1 in p 34.922 * [backup-simplify]: Simplify 1 into 1 34.922 * [taylor]: Taking taylor expansion of 0 in p 34.922 * [backup-simplify]: Simplify 0 into 0 34.922 * [backup-simplify]: Simplify 1 into 1 34.922 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 34.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.924 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 34.924 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 34.924 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 34.924 * [taylor]: Taking taylor expansion of 2 in p 34.924 * [backup-simplify]: Simplify 2 into 2 34.924 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.924 * [taylor]: Taking taylor expansion of p in p 34.924 * [backup-simplify]: Simplify 0 into 0 34.924 * [backup-simplify]: Simplify 1 into 1 34.925 * [backup-simplify]: Simplify (* 1 1) into 1 34.925 * [backup-simplify]: Simplify (/ 2 1) into 2 34.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 34.926 * [backup-simplify]: Simplify 0 into 0 34.926 * [backup-simplify]: Simplify 0 into 0 34.926 * [backup-simplify]: Simplify 0 into 0 34.926 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 34.926 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 34.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.928 * [backup-simplify]: Simplify (+ 0 0) into 0 34.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 34.928 * [taylor]: Taking taylor expansion of 0 in p 34.928 * [backup-simplify]: Simplify 0 into 0 34.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.929 * [backup-simplify]: Simplify 0 into 0 34.929 * [backup-simplify]: Simplify 0 into 0 34.929 * [backup-simplify]: Simplify 0 into 0 34.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 34.929 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2) 34.930 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 34.930 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 34.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 34.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 34.930 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.930 * [taylor]: Taking taylor expansion of x in p 34.930 * [backup-simplify]: Simplify x into x 34.930 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 34.930 * [taylor]: Taking taylor expansion of 4 in p 34.930 * [backup-simplify]: Simplify 4 into 4 34.930 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.930 * [taylor]: Taking taylor expansion of p in p 34.930 * [backup-simplify]: Simplify 0 into 0 34.930 * [backup-simplify]: Simplify 1 into 1 34.930 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.930 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 34.930 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 34.930 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 34.930 * [backup-simplify]: Simplify (+ 0 0) into 0 34.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 34.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.930 * [taylor]: Taking taylor expansion of x in x 34.930 * [backup-simplify]: Simplify 0 into 0 34.930 * [backup-simplify]: Simplify 1 into 1 34.930 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.930 * [taylor]: Taking taylor expansion of 4 in x 34.930 * [backup-simplify]: Simplify 4 into 4 34.930 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.930 * [taylor]: Taking taylor expansion of p in x 34.931 * [backup-simplify]: Simplify p into p 34.931 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.931 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.931 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.931 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.931 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.931 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.931 * [backup-simplify]: Simplify (+ 0 0) into 0 34.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.932 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.932 * [taylor]: Taking taylor expansion of x in x 34.932 * [backup-simplify]: Simplify 0 into 0 34.932 * [backup-simplify]: Simplify 1 into 1 34.932 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.932 * [taylor]: Taking taylor expansion of 4 in x 34.932 * [backup-simplify]: Simplify 4 into 4 34.932 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.932 * [taylor]: Taking taylor expansion of p in x 34.932 * [backup-simplify]: Simplify p into p 34.932 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.932 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.932 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.932 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.932 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.932 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.933 * [backup-simplify]: Simplify (+ 0 0) into 0 34.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.933 * [taylor]: Taking taylor expansion of (* 2 p) in p 34.933 * [taylor]: Taking taylor expansion of 2 in p 34.933 * [backup-simplify]: Simplify 2 into 2 34.933 * [taylor]: Taking taylor expansion of p in p 34.933 * [backup-simplify]: Simplify 0 into 0 34.933 * [backup-simplify]: Simplify 1 into 1 34.933 * [backup-simplify]: Simplify (* 2 0) into 0 34.933 * [backup-simplify]: Simplify 0 into 0 34.933 * [taylor]: Taking taylor expansion of 0 in p 34.933 * [backup-simplify]: Simplify 0 into 0 34.933 * [backup-simplify]: Simplify 0 into 0 34.934 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 34.934 * [backup-simplify]: Simplify 2 into 2 34.934 * [backup-simplify]: Simplify (* 1 1) into 1 34.934 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 34.935 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 34.935 * [backup-simplify]: Simplify (+ 1 0) into 1 34.935 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 34.935 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 34.935 * [taylor]: Taking taylor expansion of 1/4 in p 34.935 * [backup-simplify]: Simplify 1/4 into 1/4 34.935 * [taylor]: Taking taylor expansion of p in p 34.935 * [backup-simplify]: Simplify 0 into 0 34.935 * [backup-simplify]: Simplify 1 into 1 34.936 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 34.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 34.936 * [backup-simplify]: Simplify 0 into 0 34.936 * [backup-simplify]: Simplify 0 into 0 34.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 34.937 * [backup-simplify]: Simplify 0 into 0 34.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.938 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 34.938 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 34.939 * [backup-simplify]: Simplify (+ 0 0) into 0 34.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 34.939 * [taylor]: Taking taylor expansion of 0 in p 34.939 * [backup-simplify]: Simplify 0 into 0 34.939 * [backup-simplify]: Simplify 0 into 0 34.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.939 * [backup-simplify]: Simplify 0 into 0 34.939 * [backup-simplify]: Simplify 0 into 0 34.939 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 34.940 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 34.940 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 34.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 34.940 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 34.940 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 34.940 * [taylor]: Taking taylor expansion of 4 in p 34.940 * [backup-simplify]: Simplify 4 into 4 34.940 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 34.940 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.940 * [taylor]: Taking taylor expansion of p in p 34.940 * [backup-simplify]: Simplify 0 into 0 34.940 * [backup-simplify]: Simplify 1 into 1 34.940 * [backup-simplify]: Simplify (* 1 1) into 1 34.940 * [backup-simplify]: Simplify (/ 1 1) into 1 34.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 34.940 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.940 * [taylor]: Taking taylor expansion of x in p 34.940 * [backup-simplify]: Simplify x into x 34.940 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.941 * [backup-simplify]: Simplify (* 4 1) into 4 34.941 * [backup-simplify]: Simplify (+ 4 0) into 4 34.941 * [backup-simplify]: Simplify (sqrt 4) into 2 34.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.942 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 34.943 * [backup-simplify]: Simplify (+ 0 0) into 0 34.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 34.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.943 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.943 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.943 * [taylor]: Taking taylor expansion of 4 in x 34.943 * [backup-simplify]: Simplify 4 into 4 34.943 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.943 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.943 * [taylor]: Taking taylor expansion of p in x 34.943 * [backup-simplify]: Simplify p into p 34.944 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.944 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.944 * [taylor]: Taking taylor expansion of x in x 34.944 * [backup-simplify]: Simplify 0 into 0 34.944 * [backup-simplify]: Simplify 1 into 1 34.944 * [backup-simplify]: Simplify (* 1 1) into 1 34.944 * [backup-simplify]: Simplify (/ 1 1) into 1 34.944 * [backup-simplify]: Simplify (+ 0 1) into 1 34.945 * [backup-simplify]: Simplify (sqrt 1) into 1 34.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.946 * [backup-simplify]: Simplify (+ 0 0) into 0 34.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.946 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.946 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.946 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.946 * [taylor]: Taking taylor expansion of 4 in x 34.946 * [backup-simplify]: Simplify 4 into 4 34.946 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.946 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.946 * [taylor]: Taking taylor expansion of p in x 34.946 * [backup-simplify]: Simplify p into p 34.946 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.946 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.946 * [taylor]: Taking taylor expansion of x in x 34.946 * [backup-simplify]: Simplify 0 into 0 34.946 * [backup-simplify]: Simplify 1 into 1 34.947 * [backup-simplify]: Simplify (* 1 1) into 1 34.947 * [backup-simplify]: Simplify (/ 1 1) into 1 34.947 * [backup-simplify]: Simplify (+ 0 1) into 1 34.947 * [backup-simplify]: Simplify (sqrt 1) into 1 34.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.948 * [backup-simplify]: Simplify (+ 0 0) into 0 34.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.949 * [taylor]: Taking taylor expansion of 1 in p 34.949 * [backup-simplify]: Simplify 1 into 1 34.949 * [taylor]: Taking taylor expansion of 0 in p 34.949 * [backup-simplify]: Simplify 0 into 0 34.949 * [backup-simplify]: Simplify 1 into 1 34.949 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 34.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.950 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 34.951 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 34.951 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 34.951 * [taylor]: Taking taylor expansion of 2 in p 34.951 * [backup-simplify]: Simplify 2 into 2 34.951 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.951 * [taylor]: Taking taylor expansion of p in p 34.951 * [backup-simplify]: Simplify 0 into 0 34.951 * [backup-simplify]: Simplify 1 into 1 34.951 * [backup-simplify]: Simplify (* 1 1) into 1 34.952 * [backup-simplify]: Simplify (/ 2 1) into 2 34.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 34.952 * [backup-simplify]: Simplify 0 into 0 34.952 * [backup-simplify]: Simplify 0 into 0 34.952 * [backup-simplify]: Simplify 0 into 0 34.953 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 34.953 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 34.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.954 * [backup-simplify]: Simplify (+ 0 0) into 0 34.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 34.955 * [taylor]: Taking taylor expansion of 0 in p 34.955 * [backup-simplify]: Simplify 0 into 0 34.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.956 * [backup-simplify]: Simplify 0 into 0 34.956 * [backup-simplify]: Simplify 0 into 0 34.956 * [backup-simplify]: Simplify 0 into 0 34.956 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 34.956 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 34.956 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 34.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 34.956 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 34.956 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 34.956 * [taylor]: Taking taylor expansion of 4 in p 34.956 * [backup-simplify]: Simplify 4 into 4 34.956 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 34.956 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.956 * [taylor]: Taking taylor expansion of p in p 34.956 * [backup-simplify]: Simplify 0 into 0 34.956 * [backup-simplify]: Simplify 1 into 1 34.957 * [backup-simplify]: Simplify (* 1 1) into 1 34.957 * [backup-simplify]: Simplify (/ 1 1) into 1 34.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 34.957 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.957 * [taylor]: Taking taylor expansion of x in p 34.957 * [backup-simplify]: Simplify x into x 34.957 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.957 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.957 * [backup-simplify]: Simplify (* 4 1) into 4 34.958 * [backup-simplify]: Simplify (+ 4 0) into 4 34.958 * [backup-simplify]: Simplify (sqrt 4) into 2 34.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.959 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 34.959 * [backup-simplify]: Simplify (+ 0 0) into 0 34.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 34.960 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.960 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.960 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.960 * [taylor]: Taking taylor expansion of 4 in x 34.960 * [backup-simplify]: Simplify 4 into 4 34.960 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.960 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.960 * [taylor]: Taking taylor expansion of p in x 34.960 * [backup-simplify]: Simplify p into p 34.960 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.960 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.960 * [taylor]: Taking taylor expansion of x in x 34.960 * [backup-simplify]: Simplify 0 into 0 34.960 * [backup-simplify]: Simplify 1 into 1 34.960 * [backup-simplify]: Simplify (* 1 1) into 1 34.961 * [backup-simplify]: Simplify (/ 1 1) into 1 34.961 * [backup-simplify]: Simplify (+ 0 1) into 1 34.961 * [backup-simplify]: Simplify (sqrt 1) into 1 34.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.965 * [backup-simplify]: Simplify (+ 0 0) into 0 34.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.965 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.966 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.966 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.966 * [taylor]: Taking taylor expansion of 4 in x 34.966 * [backup-simplify]: Simplify 4 into 4 34.966 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.966 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.966 * [taylor]: Taking taylor expansion of p in x 34.966 * [backup-simplify]: Simplify p into p 34.966 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.966 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.966 * [taylor]: Taking taylor expansion of x in x 34.966 * [backup-simplify]: Simplify 0 into 0 34.966 * [backup-simplify]: Simplify 1 into 1 34.966 * [backup-simplify]: Simplify (* 1 1) into 1 34.966 * [backup-simplify]: Simplify (/ 1 1) into 1 34.967 * [backup-simplify]: Simplify (+ 0 1) into 1 34.967 * [backup-simplify]: Simplify (sqrt 1) into 1 34.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.968 * [backup-simplify]: Simplify (+ 0 0) into 0 34.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.968 * [taylor]: Taking taylor expansion of 1 in p 34.968 * [backup-simplify]: Simplify 1 into 1 34.968 * [taylor]: Taking taylor expansion of 0 in p 34.968 * [backup-simplify]: Simplify 0 into 0 34.968 * [backup-simplify]: Simplify 1 into 1 34.968 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 34.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.970 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 34.970 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 34.970 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 34.970 * [taylor]: Taking taylor expansion of 2 in p 34.970 * [backup-simplify]: Simplify 2 into 2 34.970 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.970 * [taylor]: Taking taylor expansion of p in p 34.970 * [backup-simplify]: Simplify 0 into 0 34.970 * [backup-simplify]: Simplify 1 into 1 34.971 * [backup-simplify]: Simplify (* 1 1) into 1 34.971 * [backup-simplify]: Simplify (/ 2 1) into 2 34.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 34.972 * [backup-simplify]: Simplify 0 into 0 34.972 * [backup-simplify]: Simplify 0 into 0 34.972 * [backup-simplify]: Simplify 0 into 0 34.972 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 34.972 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 34.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 34.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.974 * [backup-simplify]: Simplify (+ 0 0) into 0 34.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 34.974 * [taylor]: Taking taylor expansion of 0 in p 34.974 * [backup-simplify]: Simplify 0 into 0 34.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.975 * [backup-simplify]: Simplify 0 into 0 34.975 * [backup-simplify]: Simplify 0 into 0 34.975 * [backup-simplify]: Simplify 0 into 0 34.975 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 34.975 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 34.976 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 34.976 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 34.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 34.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 34.976 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.976 * [taylor]: Taking taylor expansion of x in p 34.976 * [backup-simplify]: Simplify x into x 34.976 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 34.976 * [taylor]: Taking taylor expansion of 4 in p 34.976 * [backup-simplify]: Simplify 4 into 4 34.976 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.976 * [taylor]: Taking taylor expansion of p in p 34.976 * [backup-simplify]: Simplify 0 into 0 34.976 * [backup-simplify]: Simplify 1 into 1 34.976 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.976 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 34.976 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 34.976 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 34.976 * [backup-simplify]: Simplify (+ 0 0) into 0 34.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 34.976 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.976 * [taylor]: Taking taylor expansion of x in x 34.976 * [backup-simplify]: Simplify 0 into 0 34.976 * [backup-simplify]: Simplify 1 into 1 34.976 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.976 * [taylor]: Taking taylor expansion of 4 in x 34.976 * [backup-simplify]: Simplify 4 into 4 34.976 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.977 * [taylor]: Taking taylor expansion of p in x 34.977 * [backup-simplify]: Simplify p into p 34.977 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.977 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.977 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.977 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.977 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.977 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.977 * [backup-simplify]: Simplify (+ 0 0) into 0 34.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 34.978 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 34.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.978 * [taylor]: Taking taylor expansion of x in x 34.978 * [backup-simplify]: Simplify 0 into 0 34.978 * [backup-simplify]: Simplify 1 into 1 34.978 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 34.978 * [taylor]: Taking taylor expansion of 4 in x 34.978 * [backup-simplify]: Simplify 4 into 4 34.978 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.978 * [taylor]: Taking taylor expansion of p in x 34.978 * [backup-simplify]: Simplify p into p 34.978 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.978 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 34.978 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 34.978 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 34.978 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.978 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 34.979 * [backup-simplify]: Simplify (+ 0 0) into 0 34.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 34.979 * [taylor]: Taking taylor expansion of (* 2 p) in p 34.979 * [taylor]: Taking taylor expansion of 2 in p 34.979 * [backup-simplify]: Simplify 2 into 2 34.979 * [taylor]: Taking taylor expansion of p in p 34.979 * [backup-simplify]: Simplify 0 into 0 34.979 * [backup-simplify]: Simplify 1 into 1 34.979 * [backup-simplify]: Simplify (* 2 0) into 0 34.979 * [backup-simplify]: Simplify 0 into 0 34.979 * [taylor]: Taking taylor expansion of 0 in p 34.979 * [backup-simplify]: Simplify 0 into 0 34.979 * [backup-simplify]: Simplify 0 into 0 34.980 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 34.980 * [backup-simplify]: Simplify 2 into 2 34.980 * [backup-simplify]: Simplify (* 1 1) into 1 34.980 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 34.981 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 34.981 * [backup-simplify]: Simplify (+ 1 0) into 1 34.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 34.981 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 34.981 * [taylor]: Taking taylor expansion of 1/4 in p 34.981 * [backup-simplify]: Simplify 1/4 into 1/4 34.981 * [taylor]: Taking taylor expansion of p in p 34.981 * [backup-simplify]: Simplify 0 into 0 34.981 * [backup-simplify]: Simplify 1 into 1 34.982 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 34.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 34.982 * [backup-simplify]: Simplify 0 into 0 34.982 * [backup-simplify]: Simplify 0 into 0 34.983 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 34.983 * [backup-simplify]: Simplify 0 into 0 34.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.984 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 34.984 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 34.985 * [backup-simplify]: Simplify (+ 0 0) into 0 34.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 34.985 * [taylor]: Taking taylor expansion of 0 in p 34.985 * [backup-simplify]: Simplify 0 into 0 34.985 * [backup-simplify]: Simplify 0 into 0 34.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.985 * [backup-simplify]: Simplify 0 into 0 34.985 * [backup-simplify]: Simplify 0 into 0 34.985 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 34.986 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 34.986 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 34.986 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 34.986 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 34.986 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 34.986 * [taylor]: Taking taylor expansion of 4 in p 34.986 * [backup-simplify]: Simplify 4 into 4 34.986 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 34.986 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.986 * [taylor]: Taking taylor expansion of p in p 34.986 * [backup-simplify]: Simplify 0 into 0 34.986 * [backup-simplify]: Simplify 1 into 1 34.986 * [backup-simplify]: Simplify (* 1 1) into 1 34.986 * [backup-simplify]: Simplify (/ 1 1) into 1 34.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 34.986 * [taylor]: Taking taylor expansion of (pow x 2) in p 34.986 * [taylor]: Taking taylor expansion of x in p 34.986 * [backup-simplify]: Simplify x into x 34.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 34.986 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 34.987 * [backup-simplify]: Simplify (* 4 1) into 4 34.987 * [backup-simplify]: Simplify (+ 4 0) into 4 34.987 * [backup-simplify]: Simplify (sqrt 4) into 2 34.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.988 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 34.989 * [backup-simplify]: Simplify (+ 0 0) into 0 34.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 34.989 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.989 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.989 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.989 * [taylor]: Taking taylor expansion of 4 in x 34.989 * [backup-simplify]: Simplify 4 into 4 34.989 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.989 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.989 * [taylor]: Taking taylor expansion of p in x 34.989 * [backup-simplify]: Simplify p into p 34.989 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.989 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.989 * [taylor]: Taking taylor expansion of x in x 34.989 * [backup-simplify]: Simplify 0 into 0 34.989 * [backup-simplify]: Simplify 1 into 1 34.990 * [backup-simplify]: Simplify (* 1 1) into 1 34.990 * [backup-simplify]: Simplify (/ 1 1) into 1 34.990 * [backup-simplify]: Simplify (+ 0 1) into 1 34.990 * [backup-simplify]: Simplify (sqrt 1) into 1 34.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.991 * [backup-simplify]: Simplify (+ 0 0) into 0 34.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 34.992 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 34.992 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 34.992 * [taylor]: Taking taylor expansion of 4 in x 34.992 * [backup-simplify]: Simplify 4 into 4 34.992 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 34.992 * [taylor]: Taking taylor expansion of (pow p 2) in x 34.992 * [taylor]: Taking taylor expansion of p in x 34.992 * [backup-simplify]: Simplify p into p 34.992 * [backup-simplify]: Simplify (* p p) into (pow p 2) 34.992 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 34.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 34.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 34.992 * [taylor]: Taking taylor expansion of x in x 34.992 * [backup-simplify]: Simplify 0 into 0 34.992 * [backup-simplify]: Simplify 1 into 1 34.992 * [backup-simplify]: Simplify (* 1 1) into 1 34.992 * [backup-simplify]: Simplify (/ 1 1) into 1 34.993 * [backup-simplify]: Simplify (+ 0 1) into 1 34.993 * [backup-simplify]: Simplify (sqrt 1) into 1 34.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 34.994 * [backup-simplify]: Simplify (+ 0 0) into 0 34.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 34.995 * [taylor]: Taking taylor expansion of 1 in p 34.995 * [backup-simplify]: Simplify 1 into 1 34.995 * [taylor]: Taking taylor expansion of 0 in p 34.995 * [backup-simplify]: Simplify 0 into 0 34.995 * [backup-simplify]: Simplify 1 into 1 34.995 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 34.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 34.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 34.996 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 34.997 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 34.997 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 34.997 * [taylor]: Taking taylor expansion of 2 in p 34.997 * [backup-simplify]: Simplify 2 into 2 34.997 * [taylor]: Taking taylor expansion of (pow p 2) in p 34.997 * [taylor]: Taking taylor expansion of p in p 34.997 * [backup-simplify]: Simplify 0 into 0 34.997 * [backup-simplify]: Simplify 1 into 1 34.997 * [backup-simplify]: Simplify (* 1 1) into 1 34.997 * [backup-simplify]: Simplify (/ 2 1) into 2 34.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 34.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 34.998 * [backup-simplify]: Simplify 0 into 0 34.998 * [backup-simplify]: Simplify 0 into 0 34.998 * [backup-simplify]: Simplify 0 into 0 34.998 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 34.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 34.999 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 35.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.000 * [backup-simplify]: Simplify (+ 0 0) into 0 35.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 35.001 * [taylor]: Taking taylor expansion of 0 in p 35.001 * [backup-simplify]: Simplify 0 into 0 35.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.002 * [backup-simplify]: Simplify 0 into 0 35.002 * [backup-simplify]: Simplify 0 into 0 35.002 * [backup-simplify]: Simplify 0 into 0 35.002 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 35.002 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 35.002 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 35.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 35.002 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 35.002 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 35.002 * [taylor]: Taking taylor expansion of 4 in p 35.002 * [backup-simplify]: Simplify 4 into 4 35.002 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 35.002 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.002 * [taylor]: Taking taylor expansion of p in p 35.002 * [backup-simplify]: Simplify 0 into 0 35.002 * [backup-simplify]: Simplify 1 into 1 35.002 * [backup-simplify]: Simplify (* 1 1) into 1 35.003 * [backup-simplify]: Simplify (/ 1 1) into 1 35.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 35.003 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.003 * [taylor]: Taking taylor expansion of x in p 35.003 * [backup-simplify]: Simplify x into x 35.003 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.003 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 35.003 * [backup-simplify]: Simplify (* 4 1) into 4 35.003 * [backup-simplify]: Simplify (+ 4 0) into 4 35.004 * [backup-simplify]: Simplify (sqrt 4) into 2 35.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.005 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 35.005 * [backup-simplify]: Simplify (+ 0 0) into 0 35.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 35.006 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.006 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.006 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.006 * [taylor]: Taking taylor expansion of 4 in x 35.006 * [backup-simplify]: Simplify 4 into 4 35.006 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.006 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.006 * [taylor]: Taking taylor expansion of p in x 35.006 * [backup-simplify]: Simplify p into p 35.006 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.006 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.006 * [taylor]: Taking taylor expansion of x in x 35.006 * [backup-simplify]: Simplify 0 into 0 35.006 * [backup-simplify]: Simplify 1 into 1 35.006 * [backup-simplify]: Simplify (* 1 1) into 1 35.006 * [backup-simplify]: Simplify (/ 1 1) into 1 35.007 * [backup-simplify]: Simplify (+ 0 1) into 1 35.007 * [backup-simplify]: Simplify (sqrt 1) into 1 35.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.008 * [backup-simplify]: Simplify (+ 0 0) into 0 35.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 35.008 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.008 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.008 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.008 * [taylor]: Taking taylor expansion of 4 in x 35.008 * [backup-simplify]: Simplify 4 into 4 35.008 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.008 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.008 * [taylor]: Taking taylor expansion of p in x 35.008 * [backup-simplify]: Simplify p into p 35.008 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.008 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.008 * [taylor]: Taking taylor expansion of x in x 35.008 * [backup-simplify]: Simplify 0 into 0 35.008 * [backup-simplify]: Simplify 1 into 1 35.009 * [backup-simplify]: Simplify (* 1 1) into 1 35.009 * [backup-simplify]: Simplify (/ 1 1) into 1 35.009 * [backup-simplify]: Simplify (+ 0 1) into 1 35.009 * [backup-simplify]: Simplify (sqrt 1) into 1 35.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.010 * [backup-simplify]: Simplify (+ 0 0) into 0 35.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 35.011 * [taylor]: Taking taylor expansion of 1 in p 35.011 * [backup-simplify]: Simplify 1 into 1 35.011 * [taylor]: Taking taylor expansion of 0 in p 35.011 * [backup-simplify]: Simplify 0 into 0 35.011 * [backup-simplify]: Simplify 1 into 1 35.011 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 35.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.012 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 35.013 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 35.013 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 35.013 * [taylor]: Taking taylor expansion of 2 in p 35.013 * [backup-simplify]: Simplify 2 into 2 35.013 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.013 * [taylor]: Taking taylor expansion of p in p 35.013 * [backup-simplify]: Simplify 0 into 0 35.013 * [backup-simplify]: Simplify 1 into 1 35.013 * [backup-simplify]: Simplify (* 1 1) into 1 35.014 * [backup-simplify]: Simplify (/ 2 1) into 2 35.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 35.015 * [backup-simplify]: Simplify 0 into 0 35.015 * [backup-simplify]: Simplify 0 into 0 35.015 * [backup-simplify]: Simplify 0 into 0 35.015 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 35.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 35.015 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 35.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.016 * [backup-simplify]: Simplify (+ 0 0) into 0 35.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 35.017 * [taylor]: Taking taylor expansion of 0 in p 35.017 * [backup-simplify]: Simplify 0 into 0 35.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.018 * [backup-simplify]: Simplify 0 into 0 35.018 * [backup-simplify]: Simplify 0 into 0 35.018 * [backup-simplify]: Simplify 0 into 0 35.018 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 35.018 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 35.018 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* p 4) p))) into (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) 35.018 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 35.018 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in p 35.018 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.018 * [taylor]: Taking taylor expansion of x in p 35.018 * [backup-simplify]: Simplify x into x 35.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 35.018 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.018 * [taylor]: Taking taylor expansion of x in p 35.018 * [backup-simplify]: Simplify x into x 35.018 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 35.018 * [taylor]: Taking taylor expansion of 4 in p 35.018 * [backup-simplify]: Simplify 4 into 4 35.018 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.018 * [taylor]: Taking taylor expansion of p in p 35.019 * [backup-simplify]: Simplify 0 into 0 35.019 * [backup-simplify]: Simplify 1 into 1 35.019 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.019 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.019 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 35.019 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 35.019 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 35.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.019 * [taylor]: Taking taylor expansion of x in x 35.019 * [backup-simplify]: Simplify 0 into 0 35.019 * [backup-simplify]: Simplify 1 into 1 35.019 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 35.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.019 * [taylor]: Taking taylor expansion of x in x 35.019 * [backup-simplify]: Simplify 0 into 0 35.019 * [backup-simplify]: Simplify 1 into 1 35.019 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 35.019 * [taylor]: Taking taylor expansion of 4 in x 35.019 * [backup-simplify]: Simplify 4 into 4 35.019 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.019 * [taylor]: Taking taylor expansion of p in x 35.019 * [backup-simplify]: Simplify p into p 35.019 * [backup-simplify]: Simplify (* 1 1) into 1 35.019 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.019 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 35.019 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 35.019 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 35.020 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 35.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.020 * [taylor]: Taking taylor expansion of x in x 35.020 * [backup-simplify]: Simplify 0 into 0 35.020 * [backup-simplify]: Simplify 1 into 1 35.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 35.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.020 * [taylor]: Taking taylor expansion of x in x 35.020 * [backup-simplify]: Simplify 0 into 0 35.020 * [backup-simplify]: Simplify 1 into 1 35.020 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 35.020 * [taylor]: Taking taylor expansion of 4 in x 35.020 * [backup-simplify]: Simplify 4 into 4 35.020 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.020 * [taylor]: Taking taylor expansion of p in x 35.020 * [backup-simplify]: Simplify p into p 35.020 * [backup-simplify]: Simplify (* 1 1) into 1 35.020 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.020 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 35.020 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 35.020 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 35.020 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p 35.020 * [taylor]: Taking taylor expansion of 1/4 in p 35.020 * [backup-simplify]: Simplify 1/4 into 1/4 35.020 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.020 * [taylor]: Taking taylor expansion of p in p 35.020 * [backup-simplify]: Simplify 0 into 0 35.020 * [backup-simplify]: Simplify 1 into 1 35.021 * [backup-simplify]: Simplify (* 1 1) into 1 35.021 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 35.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 35.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.023 * [backup-simplify]: Simplify 0 into 0 35.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.023 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 35.024 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 35.024 * [backup-simplify]: Simplify (+ 0 0) into 0 35.024 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 35.024 * [taylor]: Taking taylor expansion of 0 in p 35.024 * [backup-simplify]: Simplify 0 into 0 35.024 * [backup-simplify]: Simplify 0 into 0 35.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.026 * [backup-simplify]: Simplify 0 into 0 35.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.026 * [backup-simplify]: Simplify (* 1 1) into 1 35.027 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 35.027 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 35.027 * [backup-simplify]: Simplify (+ 1 0) into 1 35.028 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4)))) 35.028 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p 35.028 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p 35.028 * [taylor]: Taking taylor expansion of 1/16 in p 35.028 * [backup-simplify]: Simplify 1/16 into 1/16 35.028 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 35.028 * [taylor]: Taking taylor expansion of (pow p 4) in p 35.028 * [taylor]: Taking taylor expansion of p in p 35.028 * [backup-simplify]: Simplify 0 into 0 35.028 * [backup-simplify]: Simplify 1 into 1 35.028 * [backup-simplify]: Simplify (* 1 1) into 1 35.028 * [backup-simplify]: Simplify (* 1 1) into 1 35.028 * [backup-simplify]: Simplify (/ 1 1) into 1 35.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.035 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.036 * [backup-simplify]: Simplify (- 0) into 0 35.036 * [backup-simplify]: Simplify 0 into 0 35.036 * [backup-simplify]: Simplify 0 into 0 35.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.037 * [backup-simplify]: Simplify 0 into 0 35.037 * [backup-simplify]: Simplify 0 into 0 35.037 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 35.037 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 35.037 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 35.037 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 35.037 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.037 * [taylor]: Taking taylor expansion of x in p 35.037 * [backup-simplify]: Simplify x into x 35.037 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 35.037 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 35.037 * [taylor]: Taking taylor expansion of 4 in p 35.037 * [backup-simplify]: Simplify 4 into 4 35.037 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 35.037 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.038 * [taylor]: Taking taylor expansion of p in p 35.038 * [backup-simplify]: Simplify 0 into 0 35.038 * [backup-simplify]: Simplify 1 into 1 35.038 * [backup-simplify]: Simplify (* 1 1) into 1 35.038 * [backup-simplify]: Simplify (/ 1 1) into 1 35.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 35.038 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.038 * [taylor]: Taking taylor expansion of x in p 35.038 * [backup-simplify]: Simplify x into x 35.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.038 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 35.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.038 * [backup-simplify]: Simplify (* 4 1) into 4 35.039 * [backup-simplify]: Simplify (+ 4 0) into 4 35.039 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 35.039 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 35.039 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 35.039 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.039 * [taylor]: Taking taylor expansion of x in x 35.039 * [backup-simplify]: Simplify 0 into 0 35.039 * [backup-simplify]: Simplify 1 into 1 35.039 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.039 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.039 * [taylor]: Taking taylor expansion of 4 in x 35.039 * [backup-simplify]: Simplify 4 into 4 35.039 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.039 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.039 * [taylor]: Taking taylor expansion of p in x 35.039 * [backup-simplify]: Simplify p into p 35.039 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.039 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.039 * [taylor]: Taking taylor expansion of x in x 35.039 * [backup-simplify]: Simplify 0 into 0 35.039 * [backup-simplify]: Simplify 1 into 1 35.040 * [backup-simplify]: Simplify (* 1 1) into 1 35.040 * [backup-simplify]: Simplify (/ 1 1) into 1 35.040 * [backup-simplify]: Simplify (* 1 1) into 1 35.040 * [backup-simplify]: Simplify (+ 0 1) into 1 35.040 * [backup-simplify]: Simplify (* 1 1) into 1 35.041 * [backup-simplify]: Simplify (/ 1 1) into 1 35.041 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 35.041 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.041 * [taylor]: Taking taylor expansion of x in x 35.041 * [backup-simplify]: Simplify 0 into 0 35.041 * [backup-simplify]: Simplify 1 into 1 35.041 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.041 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.041 * [taylor]: Taking taylor expansion of 4 in x 35.041 * [backup-simplify]: Simplify 4 into 4 35.041 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.041 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.041 * [taylor]: Taking taylor expansion of p in x 35.041 * [backup-simplify]: Simplify p into p 35.041 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.041 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.041 * [taylor]: Taking taylor expansion of x in x 35.041 * [backup-simplify]: Simplify 0 into 0 35.041 * [backup-simplify]: Simplify 1 into 1 35.041 * [backup-simplify]: Simplify (* 1 1) into 1 35.042 * [backup-simplify]: Simplify (/ 1 1) into 1 35.042 * [backup-simplify]: Simplify (* 1 1) into 1 35.042 * [backup-simplify]: Simplify (+ 0 1) into 1 35.042 * [backup-simplify]: Simplify (* 1 1) into 1 35.042 * [backup-simplify]: Simplify (/ 1 1) into 1 35.043 * [taylor]: Taking taylor expansion of 1 in p 35.043 * [backup-simplify]: Simplify 1 into 1 35.043 * [backup-simplify]: Simplify 0 into 0 35.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.044 * [backup-simplify]: Simplify (+ 0 0) into 0 35.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.045 * [taylor]: Taking taylor expansion of 0 in p 35.045 * [backup-simplify]: Simplify 0 into 0 35.045 * [backup-simplify]: Simplify 0 into 0 35.045 * [backup-simplify]: Simplify 0 into 0 35.045 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 35.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.046 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 35.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.047 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 35.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 35.051 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 35.051 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 35.051 * [taylor]: Taking taylor expansion of 4 in p 35.051 * [backup-simplify]: Simplify 4 into 4 35.051 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 35.051 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.051 * [taylor]: Taking taylor expansion of p in p 35.051 * [backup-simplify]: Simplify 0 into 0 35.051 * [backup-simplify]: Simplify 1 into 1 35.051 * [backup-simplify]: Simplify (* 1 1) into 1 35.051 * [backup-simplify]: Simplify (/ 1 1) into 1 35.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.056 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.056 * [backup-simplify]: Simplify (- 0) into 0 35.056 * [backup-simplify]: Simplify 0 into 0 35.056 * [backup-simplify]: Simplify 0 into 0 35.057 * [backup-simplify]: Simplify 0 into 0 35.057 * [backup-simplify]: Simplify 0 into 0 35.057 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 35.057 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 35.057 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 35.057 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 35.057 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.057 * [taylor]: Taking taylor expansion of x in p 35.057 * [backup-simplify]: Simplify x into x 35.057 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 35.057 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 35.057 * [taylor]: Taking taylor expansion of 4 in p 35.057 * [backup-simplify]: Simplify 4 into 4 35.057 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 35.057 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.057 * [taylor]: Taking taylor expansion of p in p 35.057 * [backup-simplify]: Simplify 0 into 0 35.057 * [backup-simplify]: Simplify 1 into 1 35.057 * [backup-simplify]: Simplify (* 1 1) into 1 35.057 * [backup-simplify]: Simplify (/ 1 1) into 1 35.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 35.058 * [taylor]: Taking taylor expansion of (pow x 2) in p 35.058 * [taylor]: Taking taylor expansion of x in p 35.058 * [backup-simplify]: Simplify x into x 35.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.058 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 35.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 35.058 * [backup-simplify]: Simplify (* 4 1) into 4 35.058 * [backup-simplify]: Simplify (+ 4 0) into 4 35.058 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 35.058 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 35.058 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 35.058 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.058 * [taylor]: Taking taylor expansion of x in x 35.058 * [backup-simplify]: Simplify 0 into 0 35.058 * [backup-simplify]: Simplify 1 into 1 35.059 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.059 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.059 * [taylor]: Taking taylor expansion of 4 in x 35.059 * [backup-simplify]: Simplify 4 into 4 35.059 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.059 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.059 * [taylor]: Taking taylor expansion of p in x 35.059 * [backup-simplify]: Simplify p into p 35.059 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.059 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.059 * [taylor]: Taking taylor expansion of x in x 35.059 * [backup-simplify]: Simplify 0 into 0 35.059 * [backup-simplify]: Simplify 1 into 1 35.059 * [backup-simplify]: Simplify (* 1 1) into 1 35.059 * [backup-simplify]: Simplify (/ 1 1) into 1 35.059 * [backup-simplify]: Simplify (* 1 1) into 1 35.060 * [backup-simplify]: Simplify (+ 0 1) into 1 35.060 * [backup-simplify]: Simplify (* 1 1) into 1 35.060 * [backup-simplify]: Simplify (/ 1 1) into 1 35.060 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 35.060 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 35.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.060 * [taylor]: Taking taylor expansion of x in x 35.060 * [backup-simplify]: Simplify 0 into 0 35.060 * [backup-simplify]: Simplify 1 into 1 35.060 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 35.060 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 35.060 * [taylor]: Taking taylor expansion of 4 in x 35.060 * [backup-simplify]: Simplify 4 into 4 35.060 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 35.060 * [taylor]: Taking taylor expansion of (pow p 2) in x 35.060 * [taylor]: Taking taylor expansion of p in x 35.060 * [backup-simplify]: Simplify p into p 35.060 * [backup-simplify]: Simplify (* p p) into (pow p 2) 35.060 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 35.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 35.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 35.061 * [taylor]: Taking taylor expansion of x in x 35.061 * [backup-simplify]: Simplify 0 into 0 35.061 * [backup-simplify]: Simplify 1 into 1 35.061 * [backup-simplify]: Simplify (* 1 1) into 1 35.061 * [backup-simplify]: Simplify (/ 1 1) into 1 35.061 * [backup-simplify]: Simplify (* 1 1) into 1 35.062 * [backup-simplify]: Simplify (+ 0 1) into 1 35.062 * [backup-simplify]: Simplify (* 1 1) into 1 35.062 * [backup-simplify]: Simplify (/ 1 1) into 1 35.062 * [taylor]: Taking taylor expansion of 1 in p 35.062 * [backup-simplify]: Simplify 1 into 1 35.062 * [backup-simplify]: Simplify 0 into 0 35.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.063 * [backup-simplify]: Simplify (+ 0 0) into 0 35.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.064 * [taylor]: Taking taylor expansion of 0 in p 35.064 * [backup-simplify]: Simplify 0 into 0 35.064 * [backup-simplify]: Simplify 0 into 0 35.064 * [backup-simplify]: Simplify 0 into 0 35.065 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 35.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.066 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 35.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.067 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 35.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 35.067 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 35.067 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 35.067 * [taylor]: Taking taylor expansion of 4 in p 35.067 * [backup-simplify]: Simplify 4 into 4 35.067 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 35.067 * [taylor]: Taking taylor expansion of (pow p 2) in p 35.067 * [taylor]: Taking taylor expansion of p in p 35.067 * [backup-simplify]: Simplify 0 into 0 35.067 * [backup-simplify]: Simplify 1 into 1 35.068 * [backup-simplify]: Simplify (* 1 1) into 1 35.068 * [backup-simplify]: Simplify (/ 1 1) into 1 35.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.073 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 35.073 * [backup-simplify]: Simplify (- 0) into 0 35.073 * [backup-simplify]: Simplify 0 into 0 35.073 * [backup-simplify]: Simplify 0 into 0 35.073 * [backup-simplify]: Simplify 0 into 0 35.073 * [backup-simplify]: Simplify 0 into 0 35.073 * * * [progress]: simplifying candidates 35.073 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 35.073 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 16 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> 35.074 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 35.074 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 32 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 35.075 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 35.075 * * * * [progress]: [ 48 / 84 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 35.075 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 35.076 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 35.077 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 35.077 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 35.078 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* p 4) p)))) (- (log (* x x)) (log (+ (* x x) (* (* p 4) p)))) (log (/ (* x x) (+ (* x x) (* (* p 4) p)))) (exp (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p))) (+ (* x x) (* (* p 4) p)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (- (* x x)) (- (+ (* x x) (* (* p 4) p))) (/ x (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x 1) (/ x (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p))) (/ (+ (* x x) (* (* p 4) p)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))) (/ (* x x) 1) (/ (+ (* x x) (* (* p 4) p)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 0 0 0 35.079 * * [simplify]: iteration 0: 80 enodes 35.095 * * [simplify]: iteration 1: 230 enodes 35.178 * * [simplify]: iteration 2: 1029 enodes 35.656 * * [simplify]: iteration complete: 5001 enodes 35.656 * * [simplify]: Extracting #0: cost 41 inf + 0 35.657 * * [simplify]: Extracting #1: cost 597 inf + 4 35.661 * * [simplify]: Extracting #2: cost 1406 inf + 2797 35.668 * * [simplify]: Extracting #3: cost 1602 inf + 17758 35.678 * * [simplify]: Extracting #4: cost 1531 inf + 35571 35.708 * * [simplify]: Extracting #5: cost 977 inf + 167705 35.777 * * [simplify]: Extracting #6: cost 167 inf + 400959 35.865 * * [simplify]: Extracting #7: cost 2 inf + 452175 35.953 * * [simplify]: Extracting #8: cost 0 inf + 452843 36.042 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* 64 (* (* p p) p)) (* (* p p) p)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* (* p 4) p) (* x x)) (* (* p 4) p)) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* (* p 4) p)) (- (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* 64 (* (* p p) p)) (* (* p p) p)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* (* p 4) p) (* x x)) (* (* p 4) p)) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* (* p 4) p)) (- (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* 64 (* (* p p) p)) (* (* p p) p)) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* (* p 4) p) (* x x)) (* (* p 4) p)) (* (* x x) (* x x)))) (sqrt (* (+ (* x x) (* (* p 4) p)) (- (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (/ (* x x) (+ (* x x) (* (* p 4) p)))) (log (/ (* x x) (+ (* x x) (* (* p 4) p)))) (log (/ (* x x) (+ (* x x) (* (* p 4) p)))) (exp (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p))))) (cbrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (/ (* x x) (+ (* x x) (* (* p 4) p))))) (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (sqrt (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* x (- x)) (- (* x (- x)) (* (* p 4) p)) (/ (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))) (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) x (/ x (+ (* x x) (* (* p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p))) (/ (+ (* x x) (* (* p 4) p)) (* x x)) (/ (/ (* x x) (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))) (/ (* x x) (sqrt (+ (* x x) (* (* p 4) p)))) (* x x) (/ (+ (* x x) (* (* p 4) p)) x) (/ (* x x) (+ (* (* 64 (* (* p p) p)) (* (* p p) p)) (* (* x x) (* (* x x) (* x x))))) (/ (* x x) (* (+ (* x x) (* (* p 4) p)) (- (* x x) (* (* p 4) p)))) (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 0 0 0 36.058 * * * [progress]: adding candidates to table 36.460 * * [progress]: iteration 3 / 4 36.460 * * * [progress]: picking best candidate 36.510 * * * * [pick]: Picked # 36.510 * * * [progress]: localizing error 36.560 * * * [progress]: generating rewritten candidates 36.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2) 36.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2) 36.579 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 36.586 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 36.926 * * * [progress]: generating series expansions 36.926 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2) 36.926 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 36.926 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 36.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 36.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 36.926 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.926 * [taylor]: Taking taylor expansion of x in p 36.926 * [backup-simplify]: Simplify x into x 36.926 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 36.926 * [taylor]: Taking taylor expansion of 4 in p 36.926 * [backup-simplify]: Simplify 4 into 4 36.926 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.926 * [taylor]: Taking taylor expansion of p in p 36.926 * [backup-simplify]: Simplify 0 into 0 36.926 * [backup-simplify]: Simplify 1 into 1 36.926 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.927 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 36.927 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 36.927 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 36.927 * [backup-simplify]: Simplify (+ 0 0) into 0 36.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 36.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 36.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 36.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.928 * [taylor]: Taking taylor expansion of x in x 36.928 * [backup-simplify]: Simplify 0 into 0 36.928 * [backup-simplify]: Simplify 1 into 1 36.928 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 36.928 * [taylor]: Taking taylor expansion of 4 in x 36.928 * [backup-simplify]: Simplify 4 into 4 36.928 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.928 * [taylor]: Taking taylor expansion of p in x 36.928 * [backup-simplify]: Simplify p into p 36.928 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.928 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 36.928 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 36.928 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 36.928 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.928 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 36.929 * [backup-simplify]: Simplify (+ 0 0) into 0 36.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 36.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 36.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 36.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.929 * [taylor]: Taking taylor expansion of x in x 36.929 * [backup-simplify]: Simplify 0 into 0 36.929 * [backup-simplify]: Simplify 1 into 1 36.929 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 36.929 * [taylor]: Taking taylor expansion of 4 in x 36.929 * [backup-simplify]: Simplify 4 into 4 36.929 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.929 * [taylor]: Taking taylor expansion of p in x 36.929 * [backup-simplify]: Simplify p into p 36.929 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.929 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 36.929 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 36.929 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 36.929 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.930 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 36.930 * [backup-simplify]: Simplify (+ 0 0) into 0 36.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 36.930 * [taylor]: Taking taylor expansion of (* 2 p) in p 36.930 * [taylor]: Taking taylor expansion of 2 in p 36.930 * [backup-simplify]: Simplify 2 into 2 36.930 * [taylor]: Taking taylor expansion of p in p 36.930 * [backup-simplify]: Simplify 0 into 0 36.930 * [backup-simplify]: Simplify 1 into 1 36.930 * [backup-simplify]: Simplify (* 2 0) into 0 36.930 * [backup-simplify]: Simplify 0 into 0 36.930 * [taylor]: Taking taylor expansion of 0 in p 36.930 * [backup-simplify]: Simplify 0 into 0 36.930 * [backup-simplify]: Simplify 0 into 0 36.931 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 36.931 * [backup-simplify]: Simplify 2 into 2 36.931 * [backup-simplify]: Simplify (* 1 1) into 1 36.931 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 36.932 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 36.932 * [backup-simplify]: Simplify (+ 1 0) into 1 36.933 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 36.933 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 36.933 * [taylor]: Taking taylor expansion of 1/4 in p 36.933 * [backup-simplify]: Simplify 1/4 into 1/4 36.933 * [taylor]: Taking taylor expansion of p in p 36.933 * [backup-simplify]: Simplify 0 into 0 36.933 * [backup-simplify]: Simplify 1 into 1 36.933 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 36.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 36.934 * [backup-simplify]: Simplify 0 into 0 36.934 * [backup-simplify]: Simplify 0 into 0 36.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 36.934 * [backup-simplify]: Simplify 0 into 0 36.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.935 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 36.936 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 36.936 * [backup-simplify]: Simplify (+ 0 0) into 0 36.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 36.936 * [taylor]: Taking taylor expansion of 0 in p 36.936 * [backup-simplify]: Simplify 0 into 0 36.936 * [backup-simplify]: Simplify 0 into 0 36.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.937 * [backup-simplify]: Simplify 0 into 0 36.937 * [backup-simplify]: Simplify 0 into 0 36.937 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 36.937 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 36.937 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 36.937 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 36.937 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 36.937 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 36.937 * [taylor]: Taking taylor expansion of 4 in p 36.937 * [backup-simplify]: Simplify 4 into 4 36.937 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 36.937 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.937 * [taylor]: Taking taylor expansion of p in p 36.937 * [backup-simplify]: Simplify 0 into 0 36.937 * [backup-simplify]: Simplify 1 into 1 36.937 * [backup-simplify]: Simplify (* 1 1) into 1 36.938 * [backup-simplify]: Simplify (/ 1 1) into 1 36.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 36.938 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.938 * [taylor]: Taking taylor expansion of x in p 36.938 * [backup-simplify]: Simplify x into x 36.938 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.938 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 36.938 * [backup-simplify]: Simplify (* 4 1) into 4 36.938 * [backup-simplify]: Simplify (+ 4 0) into 4 36.939 * [backup-simplify]: Simplify (sqrt 4) into 2 36.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.940 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.940 * [backup-simplify]: Simplify (+ 0 0) into 0 36.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 36.941 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.941 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.941 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.941 * [taylor]: Taking taylor expansion of 4 in x 36.941 * [backup-simplify]: Simplify 4 into 4 36.941 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.941 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.941 * [taylor]: Taking taylor expansion of p in x 36.941 * [backup-simplify]: Simplify p into p 36.941 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.941 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.941 * [taylor]: Taking taylor expansion of x in x 36.941 * [backup-simplify]: Simplify 0 into 0 36.941 * [backup-simplify]: Simplify 1 into 1 36.941 * [backup-simplify]: Simplify (* 1 1) into 1 36.941 * [backup-simplify]: Simplify (/ 1 1) into 1 36.942 * [backup-simplify]: Simplify (+ 0 1) into 1 36.942 * [backup-simplify]: Simplify (sqrt 1) into 1 36.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.943 * [backup-simplify]: Simplify (+ 0 0) into 0 36.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.943 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.943 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.943 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.943 * [taylor]: Taking taylor expansion of 4 in x 36.943 * [backup-simplify]: Simplify 4 into 4 36.943 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.943 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.943 * [taylor]: Taking taylor expansion of p in x 36.943 * [backup-simplify]: Simplify p into p 36.943 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.943 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.944 * [taylor]: Taking taylor expansion of x in x 36.944 * [backup-simplify]: Simplify 0 into 0 36.944 * [backup-simplify]: Simplify 1 into 1 36.944 * [backup-simplify]: Simplify (* 1 1) into 1 36.944 * [backup-simplify]: Simplify (/ 1 1) into 1 36.944 * [backup-simplify]: Simplify (+ 0 1) into 1 36.944 * [backup-simplify]: Simplify (sqrt 1) into 1 36.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.946 * [backup-simplify]: Simplify (+ 0 0) into 0 36.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.946 * [taylor]: Taking taylor expansion of 1 in p 36.946 * [backup-simplify]: Simplify 1 into 1 36.946 * [taylor]: Taking taylor expansion of 0 in p 36.946 * [backup-simplify]: Simplify 0 into 0 36.946 * [backup-simplify]: Simplify 1 into 1 36.946 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 36.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.947 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 36.948 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 36.948 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 36.948 * [taylor]: Taking taylor expansion of 2 in p 36.948 * [backup-simplify]: Simplify 2 into 2 36.948 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.948 * [taylor]: Taking taylor expansion of p in p 36.948 * [backup-simplify]: Simplify 0 into 0 36.948 * [backup-simplify]: Simplify 1 into 1 36.948 * [backup-simplify]: Simplify (* 1 1) into 1 36.949 * [backup-simplify]: Simplify (/ 2 1) into 2 36.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 36.950 * [backup-simplify]: Simplify 0 into 0 36.950 * [backup-simplify]: Simplify 0 into 0 36.950 * [backup-simplify]: Simplify 0 into 0 36.950 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 36.950 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 36.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.952 * [backup-simplify]: Simplify (+ 0 0) into 0 36.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 36.952 * [taylor]: Taking taylor expansion of 0 in p 36.952 * [backup-simplify]: Simplify 0 into 0 36.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.953 * [backup-simplify]: Simplify 0 into 0 36.953 * [backup-simplify]: Simplify 0 into 0 36.953 * [backup-simplify]: Simplify 0 into 0 36.953 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 36.953 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 36.953 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 36.953 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 36.953 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 36.953 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 36.953 * [taylor]: Taking taylor expansion of 4 in p 36.953 * [backup-simplify]: Simplify 4 into 4 36.953 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 36.953 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.953 * [taylor]: Taking taylor expansion of p in p 36.954 * [backup-simplify]: Simplify 0 into 0 36.954 * [backup-simplify]: Simplify 1 into 1 36.954 * [backup-simplify]: Simplify (* 1 1) into 1 36.954 * [backup-simplify]: Simplify (/ 1 1) into 1 36.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 36.954 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.954 * [taylor]: Taking taylor expansion of x in p 36.954 * [backup-simplify]: Simplify x into x 36.954 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.954 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 36.954 * [backup-simplify]: Simplify (* 4 1) into 4 36.955 * [backup-simplify]: Simplify (+ 4 0) into 4 36.955 * [backup-simplify]: Simplify (sqrt 4) into 2 36.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.956 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.956 * [backup-simplify]: Simplify (+ 0 0) into 0 36.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 36.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.957 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.957 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.957 * [taylor]: Taking taylor expansion of 4 in x 36.957 * [backup-simplify]: Simplify 4 into 4 36.957 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.957 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.957 * [taylor]: Taking taylor expansion of p in x 36.957 * [backup-simplify]: Simplify p into p 36.957 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.957 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.957 * [taylor]: Taking taylor expansion of x in x 36.957 * [backup-simplify]: Simplify 0 into 0 36.957 * [backup-simplify]: Simplify 1 into 1 36.957 * [backup-simplify]: Simplify (* 1 1) into 1 36.958 * [backup-simplify]: Simplify (/ 1 1) into 1 36.958 * [backup-simplify]: Simplify (+ 0 1) into 1 36.958 * [backup-simplify]: Simplify (sqrt 1) into 1 36.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.959 * [backup-simplify]: Simplify (+ 0 0) into 0 36.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.960 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.960 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.960 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.960 * [taylor]: Taking taylor expansion of 4 in x 36.960 * [backup-simplify]: Simplify 4 into 4 36.960 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.960 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.960 * [taylor]: Taking taylor expansion of p in x 36.960 * [backup-simplify]: Simplify p into p 36.960 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.960 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.960 * [taylor]: Taking taylor expansion of x in x 36.960 * [backup-simplify]: Simplify 0 into 0 36.960 * [backup-simplify]: Simplify 1 into 1 36.960 * [backup-simplify]: Simplify (* 1 1) into 1 36.960 * [backup-simplify]: Simplify (/ 1 1) into 1 36.961 * [backup-simplify]: Simplify (+ 0 1) into 1 36.961 * [backup-simplify]: Simplify (sqrt 1) into 1 36.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.962 * [backup-simplify]: Simplify (+ 0 0) into 0 36.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.962 * [taylor]: Taking taylor expansion of 1 in p 36.962 * [backup-simplify]: Simplify 1 into 1 36.962 * [taylor]: Taking taylor expansion of 0 in p 36.962 * [backup-simplify]: Simplify 0 into 0 36.962 * [backup-simplify]: Simplify 1 into 1 36.962 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 36.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.964 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 36.964 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 36.964 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 36.964 * [taylor]: Taking taylor expansion of 2 in p 36.964 * [backup-simplify]: Simplify 2 into 2 36.964 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.964 * [taylor]: Taking taylor expansion of p in p 36.964 * [backup-simplify]: Simplify 0 into 0 36.964 * [backup-simplify]: Simplify 1 into 1 36.965 * [backup-simplify]: Simplify (* 1 1) into 1 36.965 * [backup-simplify]: Simplify (/ 2 1) into 2 36.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 36.966 * [backup-simplify]: Simplify 0 into 0 36.966 * [backup-simplify]: Simplify 0 into 0 36.966 * [backup-simplify]: Simplify 0 into 0 36.966 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 36.966 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 36.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.968 * [backup-simplify]: Simplify (+ 0 0) into 0 36.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 36.968 * [taylor]: Taking taylor expansion of 0 in p 36.968 * [backup-simplify]: Simplify 0 into 0 36.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.969 * [backup-simplify]: Simplify 0 into 0 36.969 * [backup-simplify]: Simplify 0 into 0 36.969 * [backup-simplify]: Simplify 0 into 0 36.969 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 36.970 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2) 36.970 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 36.970 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 36.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 36.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 36.970 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.970 * [taylor]: Taking taylor expansion of x in p 36.970 * [backup-simplify]: Simplify x into x 36.970 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 36.970 * [taylor]: Taking taylor expansion of 4 in p 36.970 * [backup-simplify]: Simplify 4 into 4 36.970 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.970 * [taylor]: Taking taylor expansion of p in p 36.970 * [backup-simplify]: Simplify 0 into 0 36.970 * [backup-simplify]: Simplify 1 into 1 36.970 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.970 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 36.970 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 36.970 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 36.970 * [backup-simplify]: Simplify (+ 0 0) into 0 36.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 36.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 36.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 36.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.970 * [taylor]: Taking taylor expansion of x in x 36.970 * [backup-simplify]: Simplify 0 into 0 36.970 * [backup-simplify]: Simplify 1 into 1 36.970 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 36.971 * [taylor]: Taking taylor expansion of 4 in x 36.971 * [backup-simplify]: Simplify 4 into 4 36.971 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.971 * [taylor]: Taking taylor expansion of p in x 36.971 * [backup-simplify]: Simplify p into p 36.971 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.971 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 36.971 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 36.971 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 36.971 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.971 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 36.971 * [backup-simplify]: Simplify (+ 0 0) into 0 36.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 36.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 36.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 36.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.972 * [taylor]: Taking taylor expansion of x in x 36.972 * [backup-simplify]: Simplify 0 into 0 36.972 * [backup-simplify]: Simplify 1 into 1 36.972 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 36.972 * [taylor]: Taking taylor expansion of 4 in x 36.972 * [backup-simplify]: Simplify 4 into 4 36.972 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.972 * [taylor]: Taking taylor expansion of p in x 36.972 * [backup-simplify]: Simplify p into p 36.972 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.972 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 36.972 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 36.972 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 36.972 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.972 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 36.973 * [backup-simplify]: Simplify (+ 0 0) into 0 36.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 36.973 * [taylor]: Taking taylor expansion of (* 2 p) in p 36.973 * [taylor]: Taking taylor expansion of 2 in p 36.973 * [backup-simplify]: Simplify 2 into 2 36.973 * [taylor]: Taking taylor expansion of p in p 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [backup-simplify]: Simplify 1 into 1 36.973 * [backup-simplify]: Simplify (* 2 0) into 0 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [taylor]: Taking taylor expansion of 0 in p 36.973 * [backup-simplify]: Simplify 0 into 0 36.973 * [backup-simplify]: Simplify 0 into 0 36.974 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 36.974 * [backup-simplify]: Simplify 2 into 2 36.974 * [backup-simplify]: Simplify (* 1 1) into 1 36.974 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 36.975 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 36.975 * [backup-simplify]: Simplify (+ 1 0) into 1 36.975 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 36.975 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 36.975 * [taylor]: Taking taylor expansion of 1/4 in p 36.975 * [backup-simplify]: Simplify 1/4 into 1/4 36.975 * [taylor]: Taking taylor expansion of p in p 36.975 * [backup-simplify]: Simplify 0 into 0 36.975 * [backup-simplify]: Simplify 1 into 1 36.976 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 36.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 36.976 * [backup-simplify]: Simplify 0 into 0 36.976 * [backup-simplify]: Simplify 0 into 0 36.977 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 36.977 * [backup-simplify]: Simplify 0 into 0 36.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.978 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 36.979 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 36.979 * [backup-simplify]: Simplify (+ 0 0) into 0 36.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 36.979 * [taylor]: Taking taylor expansion of 0 in p 36.979 * [backup-simplify]: Simplify 0 into 0 36.979 * [backup-simplify]: Simplify 0 into 0 36.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.980 * [backup-simplify]: Simplify 0 into 0 36.980 * [backup-simplify]: Simplify 0 into 0 36.980 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 36.980 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 36.980 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 36.980 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 36.980 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 36.980 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 36.980 * [taylor]: Taking taylor expansion of 4 in p 36.980 * [backup-simplify]: Simplify 4 into 4 36.980 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 36.980 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.980 * [taylor]: Taking taylor expansion of p in p 36.980 * [backup-simplify]: Simplify 0 into 0 36.980 * [backup-simplify]: Simplify 1 into 1 36.980 * [backup-simplify]: Simplify (* 1 1) into 1 36.981 * [backup-simplify]: Simplify (/ 1 1) into 1 36.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 36.981 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.981 * [taylor]: Taking taylor expansion of x in p 36.981 * [backup-simplify]: Simplify x into x 36.981 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 36.981 * [backup-simplify]: Simplify (* 4 1) into 4 36.981 * [backup-simplify]: Simplify (+ 4 0) into 4 36.982 * [backup-simplify]: Simplify (sqrt 4) into 2 36.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.983 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.983 * [backup-simplify]: Simplify (+ 0 0) into 0 36.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 36.983 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.983 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.983 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.983 * [taylor]: Taking taylor expansion of 4 in x 36.983 * [backup-simplify]: Simplify 4 into 4 36.983 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.983 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.984 * [taylor]: Taking taylor expansion of p in x 36.984 * [backup-simplify]: Simplify p into p 36.984 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.984 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.984 * [taylor]: Taking taylor expansion of x in x 36.984 * [backup-simplify]: Simplify 0 into 0 36.984 * [backup-simplify]: Simplify 1 into 1 36.984 * [backup-simplify]: Simplify (* 1 1) into 1 36.984 * [backup-simplify]: Simplify (/ 1 1) into 1 36.984 * [backup-simplify]: Simplify (+ 0 1) into 1 36.985 * [backup-simplify]: Simplify (sqrt 1) into 1 36.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.986 * [backup-simplify]: Simplify (+ 0 0) into 0 36.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.986 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 36.986 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 36.986 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 36.986 * [taylor]: Taking taylor expansion of 4 in x 36.986 * [backup-simplify]: Simplify 4 into 4 36.986 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 36.986 * [taylor]: Taking taylor expansion of (pow p 2) in x 36.986 * [taylor]: Taking taylor expansion of p in x 36.986 * [backup-simplify]: Simplify p into p 36.986 * [backup-simplify]: Simplify (* p p) into (pow p 2) 36.986 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 36.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 36.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 36.986 * [taylor]: Taking taylor expansion of x in x 36.986 * [backup-simplify]: Simplify 0 into 0 36.986 * [backup-simplify]: Simplify 1 into 1 36.987 * [backup-simplify]: Simplify (* 1 1) into 1 36.987 * [backup-simplify]: Simplify (/ 1 1) into 1 36.987 * [backup-simplify]: Simplify (+ 0 1) into 1 36.987 * [backup-simplify]: Simplify (sqrt 1) into 1 36.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.988 * [backup-simplify]: Simplify (+ 0 0) into 0 36.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 36.989 * [taylor]: Taking taylor expansion of 1 in p 36.989 * [backup-simplify]: Simplify 1 into 1 36.989 * [taylor]: Taking taylor expansion of 0 in p 36.989 * [backup-simplify]: Simplify 0 into 0 36.989 * [backup-simplify]: Simplify 1 into 1 36.989 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 36.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.990 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 36.991 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 36.991 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 36.991 * [taylor]: Taking taylor expansion of 2 in p 36.991 * [backup-simplify]: Simplify 2 into 2 36.991 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.991 * [taylor]: Taking taylor expansion of p in p 36.991 * [backup-simplify]: Simplify 0 into 0 36.991 * [backup-simplify]: Simplify 1 into 1 36.991 * [backup-simplify]: Simplify (* 1 1) into 1 36.992 * [backup-simplify]: Simplify (/ 2 1) into 2 36.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 36.992 * [backup-simplify]: Simplify 0 into 0 36.993 * [backup-simplify]: Simplify 0 into 0 36.993 * [backup-simplify]: Simplify 0 into 0 36.993 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 36.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 36.993 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 36.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.995 * [backup-simplify]: Simplify (+ 0 0) into 0 36.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 36.995 * [taylor]: Taking taylor expansion of 0 in p 36.995 * [backup-simplify]: Simplify 0 into 0 36.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.996 * [backup-simplify]: Simplify 0 into 0 36.996 * [backup-simplify]: Simplify 0 into 0 36.996 * [backup-simplify]: Simplify 0 into 0 36.996 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 36.996 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 36.996 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 36.996 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 36.996 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 36.996 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 36.996 * [taylor]: Taking taylor expansion of 4 in p 36.996 * [backup-simplify]: Simplify 4 into 4 36.996 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 36.997 * [taylor]: Taking taylor expansion of (pow p 2) in p 36.997 * [taylor]: Taking taylor expansion of p in p 36.997 * [backup-simplify]: Simplify 0 into 0 36.997 * [backup-simplify]: Simplify 1 into 1 36.997 * [backup-simplify]: Simplify (* 1 1) into 1 36.997 * [backup-simplify]: Simplify (/ 1 1) into 1 36.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 36.997 * [taylor]: Taking taylor expansion of (pow x 2) in p 36.997 * [taylor]: Taking taylor expansion of x in p 36.997 * [backup-simplify]: Simplify x into x 36.997 * [backup-simplify]: Simplify (* x x) into (pow x 2) 36.997 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 36.997 * [backup-simplify]: Simplify (* 4 1) into 4 36.998 * [backup-simplify]: Simplify (+ 4 0) into 4 36.998 * [backup-simplify]: Simplify (sqrt 4) into 2 36.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.999 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.999 * [backup-simplify]: Simplify (+ 0 0) into 0 37.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 37.003 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.003 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.003 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.003 * [taylor]: Taking taylor expansion of 4 in x 37.003 * [backup-simplify]: Simplify 4 into 4 37.003 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.003 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.003 * [taylor]: Taking taylor expansion of p in x 37.003 * [backup-simplify]: Simplify p into p 37.003 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.003 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.003 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.003 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.003 * [taylor]: Taking taylor expansion of x in x 37.003 * [backup-simplify]: Simplify 0 into 0 37.003 * [backup-simplify]: Simplify 1 into 1 37.003 * [backup-simplify]: Simplify (* 1 1) into 1 37.004 * [backup-simplify]: Simplify (/ 1 1) into 1 37.004 * [backup-simplify]: Simplify (+ 0 1) into 1 37.004 * [backup-simplify]: Simplify (sqrt 1) into 1 37.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.005 * [backup-simplify]: Simplify (+ 0 0) into 0 37.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.006 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.006 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.006 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.006 * [taylor]: Taking taylor expansion of 4 in x 37.006 * [backup-simplify]: Simplify 4 into 4 37.006 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.006 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.006 * [taylor]: Taking taylor expansion of p in x 37.006 * [backup-simplify]: Simplify p into p 37.006 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.006 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.006 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.006 * [taylor]: Taking taylor expansion of x in x 37.006 * [backup-simplify]: Simplify 0 into 0 37.006 * [backup-simplify]: Simplify 1 into 1 37.006 * [backup-simplify]: Simplify (* 1 1) into 1 37.006 * [backup-simplify]: Simplify (/ 1 1) into 1 37.007 * [backup-simplify]: Simplify (+ 0 1) into 1 37.007 * [backup-simplify]: Simplify (sqrt 1) into 1 37.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.008 * [backup-simplify]: Simplify (+ 0 0) into 0 37.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.008 * [taylor]: Taking taylor expansion of 1 in p 37.008 * [backup-simplify]: Simplify 1 into 1 37.008 * [taylor]: Taking taylor expansion of 0 in p 37.008 * [backup-simplify]: Simplify 0 into 0 37.008 * [backup-simplify]: Simplify 1 into 1 37.009 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 37.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.010 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 37.011 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 37.011 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 37.011 * [taylor]: Taking taylor expansion of 2 in p 37.011 * [backup-simplify]: Simplify 2 into 2 37.011 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.011 * [taylor]: Taking taylor expansion of p in p 37.011 * [backup-simplify]: Simplify 0 into 0 37.011 * [backup-simplify]: Simplify 1 into 1 37.011 * [backup-simplify]: Simplify (* 1 1) into 1 37.011 * [backup-simplify]: Simplify (/ 2 1) into 2 37.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 37.012 * [backup-simplify]: Simplify 0 into 0 37.012 * [backup-simplify]: Simplify 0 into 0 37.012 * [backup-simplify]: Simplify 0 into 0 37.012 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 37.013 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 37.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.014 * [backup-simplify]: Simplify (+ 0 0) into 0 37.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 37.014 * [taylor]: Taking taylor expansion of 0 in p 37.014 * [backup-simplify]: Simplify 0 into 0 37.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.015 * [backup-simplify]: Simplify 0 into 0 37.015 * [backup-simplify]: Simplify 0 into 0 37.016 * [backup-simplify]: Simplify 0 into 0 37.016 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 37.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 37.016 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 37.016 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 37.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 37.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 37.016 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.016 * [taylor]: Taking taylor expansion of x in p 37.016 * [backup-simplify]: Simplify x into x 37.016 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 37.016 * [taylor]: Taking taylor expansion of 4 in p 37.016 * [backup-simplify]: Simplify 4 into 4 37.016 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.016 * [taylor]: Taking taylor expansion of p in p 37.016 * [backup-simplify]: Simplify 0 into 0 37.016 * [backup-simplify]: Simplify 1 into 1 37.016 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.016 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 37.016 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 37.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.016 * [backup-simplify]: Simplify (+ 0 0) into 0 37.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 37.017 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 37.017 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 37.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.017 * [taylor]: Taking taylor expansion of x in x 37.017 * [backup-simplify]: Simplify 0 into 0 37.017 * [backup-simplify]: Simplify 1 into 1 37.017 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 37.017 * [taylor]: Taking taylor expansion of 4 in x 37.017 * [backup-simplify]: Simplify 4 into 4 37.017 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.017 * [taylor]: Taking taylor expansion of p in x 37.017 * [backup-simplify]: Simplify p into p 37.017 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.017 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 37.017 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 37.017 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 37.017 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.017 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 37.018 * [backup-simplify]: Simplify (+ 0 0) into 0 37.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 37.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 37.018 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 37.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.018 * [taylor]: Taking taylor expansion of x in x 37.018 * [backup-simplify]: Simplify 0 into 0 37.018 * [backup-simplify]: Simplify 1 into 1 37.018 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 37.018 * [taylor]: Taking taylor expansion of 4 in x 37.018 * [backup-simplify]: Simplify 4 into 4 37.018 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.018 * [taylor]: Taking taylor expansion of p in x 37.018 * [backup-simplify]: Simplify p into p 37.018 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.018 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 37.018 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 37.018 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 37.018 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.019 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 37.019 * [backup-simplify]: Simplify (+ 0 0) into 0 37.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 37.019 * [taylor]: Taking taylor expansion of (* 2 p) in p 37.019 * [taylor]: Taking taylor expansion of 2 in p 37.019 * [backup-simplify]: Simplify 2 into 2 37.019 * [taylor]: Taking taylor expansion of p in p 37.019 * [backup-simplify]: Simplify 0 into 0 37.019 * [backup-simplify]: Simplify 1 into 1 37.019 * [backup-simplify]: Simplify (* 2 0) into 0 37.019 * [backup-simplify]: Simplify 0 into 0 37.019 * [taylor]: Taking taylor expansion of 0 in p 37.019 * [backup-simplify]: Simplify 0 into 0 37.019 * [backup-simplify]: Simplify 0 into 0 37.020 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 37.020 * [backup-simplify]: Simplify 2 into 2 37.020 * [backup-simplify]: Simplify (* 1 1) into 1 37.020 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 37.021 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 37.021 * [backup-simplify]: Simplify (+ 1 0) into 1 37.022 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 37.022 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 37.022 * [taylor]: Taking taylor expansion of 1/4 in p 37.022 * [backup-simplify]: Simplify 1/4 into 1/4 37.022 * [taylor]: Taking taylor expansion of p in p 37.022 * [backup-simplify]: Simplify 0 into 0 37.022 * [backup-simplify]: Simplify 1 into 1 37.022 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 37.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 37.022 * [backup-simplify]: Simplify 0 into 0 37.022 * [backup-simplify]: Simplify 0 into 0 37.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 37.023 * [backup-simplify]: Simplify 0 into 0 37.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.024 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 37.025 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 37.025 * [backup-simplify]: Simplify (+ 0 0) into 0 37.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 37.025 * [taylor]: Taking taylor expansion of 0 in p 37.025 * [backup-simplify]: Simplify 0 into 0 37.025 * [backup-simplify]: Simplify 0 into 0 37.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.026 * [backup-simplify]: Simplify 0 into 0 37.026 * [backup-simplify]: Simplify 0 into 0 37.026 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 37.026 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 37.026 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 37.026 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 37.026 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 37.026 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 37.026 * [taylor]: Taking taylor expansion of 4 in p 37.026 * [backup-simplify]: Simplify 4 into 4 37.026 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.026 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.026 * [taylor]: Taking taylor expansion of p in p 37.026 * [backup-simplify]: Simplify 0 into 0 37.026 * [backup-simplify]: Simplify 1 into 1 37.026 * [backup-simplify]: Simplify (* 1 1) into 1 37.026 * [backup-simplify]: Simplify (/ 1 1) into 1 37.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 37.026 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.026 * [taylor]: Taking taylor expansion of x in p 37.026 * [backup-simplify]: Simplify x into x 37.027 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.027 * [backup-simplify]: Simplify (* 4 1) into 4 37.027 * [backup-simplify]: Simplify (+ 4 0) into 4 37.027 * [backup-simplify]: Simplify (sqrt 4) into 2 37.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.029 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 37.029 * [backup-simplify]: Simplify (+ 0 0) into 0 37.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 37.029 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.030 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.030 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.030 * [taylor]: Taking taylor expansion of 4 in x 37.030 * [backup-simplify]: Simplify 4 into 4 37.030 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.030 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.030 * [taylor]: Taking taylor expansion of p in x 37.030 * [backup-simplify]: Simplify p into p 37.030 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.030 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.030 * [taylor]: Taking taylor expansion of x in x 37.030 * [backup-simplify]: Simplify 0 into 0 37.030 * [backup-simplify]: Simplify 1 into 1 37.030 * [backup-simplify]: Simplify (* 1 1) into 1 37.030 * [backup-simplify]: Simplify (/ 1 1) into 1 37.031 * [backup-simplify]: Simplify (+ 0 1) into 1 37.031 * [backup-simplify]: Simplify (sqrt 1) into 1 37.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.032 * [backup-simplify]: Simplify (+ 0 0) into 0 37.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.032 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.032 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.032 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.032 * [taylor]: Taking taylor expansion of 4 in x 37.032 * [backup-simplify]: Simplify 4 into 4 37.032 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.032 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.032 * [taylor]: Taking taylor expansion of p in x 37.032 * [backup-simplify]: Simplify p into p 37.032 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.032 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.033 * [taylor]: Taking taylor expansion of x in x 37.033 * [backup-simplify]: Simplify 0 into 0 37.033 * [backup-simplify]: Simplify 1 into 1 37.033 * [backup-simplify]: Simplify (* 1 1) into 1 37.033 * [backup-simplify]: Simplify (/ 1 1) into 1 37.033 * [backup-simplify]: Simplify (+ 0 1) into 1 37.034 * [backup-simplify]: Simplify (sqrt 1) into 1 37.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.035 * [backup-simplify]: Simplify (+ 0 0) into 0 37.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.035 * [taylor]: Taking taylor expansion of 1 in p 37.035 * [backup-simplify]: Simplify 1 into 1 37.035 * [taylor]: Taking taylor expansion of 0 in p 37.035 * [backup-simplify]: Simplify 0 into 0 37.035 * [backup-simplify]: Simplify 1 into 1 37.035 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 37.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.036 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 37.037 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 37.037 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 37.037 * [taylor]: Taking taylor expansion of 2 in p 37.037 * [backup-simplify]: Simplify 2 into 2 37.037 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.037 * [taylor]: Taking taylor expansion of p in p 37.037 * [backup-simplify]: Simplify 0 into 0 37.037 * [backup-simplify]: Simplify 1 into 1 37.037 * [backup-simplify]: Simplify (* 1 1) into 1 37.038 * [backup-simplify]: Simplify (/ 2 1) into 2 37.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 37.039 * [backup-simplify]: Simplify 0 into 0 37.039 * [backup-simplify]: Simplify 0 into 0 37.039 * [backup-simplify]: Simplify 0 into 0 37.039 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 37.039 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 37.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.041 * [backup-simplify]: Simplify (+ 0 0) into 0 37.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 37.041 * [taylor]: Taking taylor expansion of 0 in p 37.041 * [backup-simplify]: Simplify 0 into 0 37.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.042 * [backup-simplify]: Simplify 0 into 0 37.042 * [backup-simplify]: Simplify 0 into 0 37.042 * [backup-simplify]: Simplify 0 into 0 37.042 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 37.042 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 37.042 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 37.042 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 37.042 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 37.042 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 37.042 * [taylor]: Taking taylor expansion of 4 in p 37.042 * [backup-simplify]: Simplify 4 into 4 37.043 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.043 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.043 * [taylor]: Taking taylor expansion of p in p 37.043 * [backup-simplify]: Simplify 0 into 0 37.043 * [backup-simplify]: Simplify 1 into 1 37.043 * [backup-simplify]: Simplify (* 1 1) into 1 37.043 * [backup-simplify]: Simplify (/ 1 1) into 1 37.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 37.043 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.043 * [taylor]: Taking taylor expansion of x in p 37.043 * [backup-simplify]: Simplify x into x 37.043 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.043 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.043 * [backup-simplify]: Simplify (* 4 1) into 4 37.044 * [backup-simplify]: Simplify (+ 4 0) into 4 37.044 * [backup-simplify]: Simplify (sqrt 4) into 2 37.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.045 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 37.045 * [backup-simplify]: Simplify (+ 0 0) into 0 37.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 37.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.046 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.046 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.046 * [taylor]: Taking taylor expansion of 4 in x 37.046 * [backup-simplify]: Simplify 4 into 4 37.046 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.046 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.046 * [taylor]: Taking taylor expansion of p in x 37.046 * [backup-simplify]: Simplify p into p 37.046 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.046 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.046 * [taylor]: Taking taylor expansion of x in x 37.046 * [backup-simplify]: Simplify 0 into 0 37.046 * [backup-simplify]: Simplify 1 into 1 37.046 * [backup-simplify]: Simplify (* 1 1) into 1 37.047 * [backup-simplify]: Simplify (/ 1 1) into 1 37.047 * [backup-simplify]: Simplify (+ 0 1) into 1 37.047 * [backup-simplify]: Simplify (sqrt 1) into 1 37.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.048 * [backup-simplify]: Simplify (+ 0 0) into 0 37.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.049 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 37.049 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.049 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.049 * [taylor]: Taking taylor expansion of 4 in x 37.049 * [backup-simplify]: Simplify 4 into 4 37.049 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.049 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.049 * [taylor]: Taking taylor expansion of p in x 37.049 * [backup-simplify]: Simplify p into p 37.049 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.049 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.049 * [taylor]: Taking taylor expansion of x in x 37.049 * [backup-simplify]: Simplify 0 into 0 37.049 * [backup-simplify]: Simplify 1 into 1 37.049 * [backup-simplify]: Simplify (* 1 1) into 1 37.049 * [backup-simplify]: Simplify (/ 1 1) into 1 37.050 * [backup-simplify]: Simplify (+ 0 1) into 1 37.050 * [backup-simplify]: Simplify (sqrt 1) into 1 37.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.051 * [backup-simplify]: Simplify (+ 0 0) into 0 37.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.051 * [taylor]: Taking taylor expansion of 1 in p 37.051 * [backup-simplify]: Simplify 1 into 1 37.051 * [taylor]: Taking taylor expansion of 0 in p 37.051 * [backup-simplify]: Simplify 0 into 0 37.051 * [backup-simplify]: Simplify 1 into 1 37.051 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 37.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.053 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 37.053 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 37.053 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 37.053 * [taylor]: Taking taylor expansion of 2 in p 37.053 * [backup-simplify]: Simplify 2 into 2 37.054 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.054 * [taylor]: Taking taylor expansion of p in p 37.054 * [backup-simplify]: Simplify 0 into 0 37.054 * [backup-simplify]: Simplify 1 into 1 37.054 * [backup-simplify]: Simplify (* 1 1) into 1 37.054 * [backup-simplify]: Simplify (/ 2 1) into 2 37.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 37.055 * [backup-simplify]: Simplify 0 into 0 37.055 * [backup-simplify]: Simplify 0 into 0 37.055 * [backup-simplify]: Simplify 0 into 0 37.055 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 37.055 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 37.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.057 * [backup-simplify]: Simplify (+ 0 0) into 0 37.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 37.057 * [taylor]: Taking taylor expansion of 0 in p 37.057 * [backup-simplify]: Simplify 0 into 0 37.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.058 * [backup-simplify]: Simplify 0 into 0 37.058 * [backup-simplify]: Simplify 0 into 0 37.058 * [backup-simplify]: Simplify 0 into 0 37.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 37.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 37.060 * [backup-simplify]: Simplify (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) into (+ (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.125) 37.060 * [approximate]: Taking taylor expansion of (+ (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.125) in (x p) around 0 37.060 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.125) in p 37.060 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in p 37.060 * [taylor]: Taking taylor expansion of 0.125 in p 37.060 * [backup-simplify]: Simplify 0.125 into 0.125 37.060 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in p 37.060 * [taylor]: Taking taylor expansion of (pow x 3) in p 37.060 * [taylor]: Taking taylor expansion of x in p 37.060 * [backup-simplify]: Simplify x into x 37.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in p 37.060 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in p 37.060 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in p 37.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 37.060 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.060 * [taylor]: Taking taylor expansion of x in p 37.060 * [backup-simplify]: Simplify x into x 37.060 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 37.060 * [taylor]: Taking taylor expansion of 4 in p 37.060 * [backup-simplify]: Simplify 4 into 4 37.060 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.060 * [taylor]: Taking taylor expansion of p in p 37.060 * [backup-simplify]: Simplify 0 into 0 37.060 * [backup-simplify]: Simplify 1 into 1 37.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.060 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 37.061 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 37.061 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6) 37.061 * [backup-simplify]: Simplify (/ 1 (pow x 6)) into (/ 1 (pow x 6)) 37.061 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 6))) into (/ 1 (pow x 3)) 37.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 37.061 * [backup-simplify]: Simplify (+ 0 0) into 0 37.061 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 37.061 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 4))) into 0 37.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 6)) (/ 0 (pow x 6))))) into 0 37.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 6))))) into 0 37.062 * [taylor]: Taking taylor expansion of 0.125 in p 37.062 * [backup-simplify]: Simplify 0.125 into 0.125 37.062 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.125) in x 37.062 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in x 37.062 * [taylor]: Taking taylor expansion of 0.125 in x 37.062 * [backup-simplify]: Simplify 0.125 into 0.125 37.062 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in x 37.062 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.062 * [taylor]: Taking taylor expansion of x in x 37.062 * [backup-simplify]: Simplify 0 into 0 37.062 * [backup-simplify]: Simplify 1 into 1 37.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in x 37.062 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in x 37.062 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in x 37.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 37.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.062 * [taylor]: Taking taylor expansion of x in x 37.062 * [backup-simplify]: Simplify 0 into 0 37.062 * [backup-simplify]: Simplify 1 into 1 37.062 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 37.062 * [taylor]: Taking taylor expansion of 4 in x 37.062 * [backup-simplify]: Simplify 4 into 4 37.062 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.062 * [taylor]: Taking taylor expansion of p in x 37.062 * [backup-simplify]: Simplify p into p 37.062 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.062 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 37.062 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 37.062 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 4 (pow p 2))) into (* 16 (pow p 4)) 37.062 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 16 (pow p 4))) into (* 64 (pow p 6)) 37.063 * [backup-simplify]: Simplify (/ 1 (* 64 (pow p 6))) into (/ 1/64 (pow p 6)) 37.063 * [backup-simplify]: Simplify (sqrt (/ 1/64 (pow p 6))) into (/ 1/8 (pow p 3)) 37.063 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.063 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 37.063 * [backup-simplify]: Simplify (+ 0 0) into 0 37.063 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 4 (pow p 2)))) into 0 37.064 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 16 (pow p 4)))) into 0 37.064 * [backup-simplify]: Simplify (- (+ (* (/ 1/64 (pow p 6)) (/ 0 (* 64 (pow p 6)))))) into 0 37.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/64 (pow p 6))))) into 0 37.064 * [taylor]: Taking taylor expansion of 0.125 in x 37.064 * [backup-simplify]: Simplify 0.125 into 0.125 37.064 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) 0.125) in x 37.064 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))))) in x 37.064 * [taylor]: Taking taylor expansion of 0.125 in x 37.064 * [backup-simplify]: Simplify 0.125 into 0.125 37.064 * [taylor]: Taking taylor expansion of (* (pow x 3) (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)))) in x 37.064 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.064 * [taylor]: Taking taylor expansion of x in x 37.064 * [backup-simplify]: Simplify 0 into 0 37.064 * [backup-simplify]: Simplify 1 into 1 37.064 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3))) in x 37.064 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (* 4 (pow p 2))) 3)) in x 37.064 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 3) in x 37.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 37.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.064 * [taylor]: Taking taylor expansion of x in x 37.064 * [backup-simplify]: Simplify 0 into 0 37.064 * [backup-simplify]: Simplify 1 into 1 37.064 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 37.064 * [taylor]: Taking taylor expansion of 4 in x 37.064 * [backup-simplify]: Simplify 4 into 4 37.064 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.064 * [taylor]: Taking taylor expansion of p in x 37.064 * [backup-simplify]: Simplify p into p 37.064 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.064 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 37.064 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 37.064 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 4 (pow p 2))) into (* 16 (pow p 4)) 37.065 * [backup-simplify]: Simplify (* (* 4 (pow p 2)) (* 16 (pow p 4))) into (* 64 (pow p 6)) 37.065 * [backup-simplify]: Simplify (/ 1 (* 64 (pow p 6))) into (/ 1/64 (pow p 6)) 37.065 * [backup-simplify]: Simplify (sqrt (/ 1/64 (pow p 6))) into (/ 1/8 (pow p 3)) 37.065 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.065 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 37.065 * [backup-simplify]: Simplify (+ 0 0) into 0 37.066 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 4 (pow p 2)))) into 0 37.066 * [backup-simplify]: Simplify (+ (* (* 4 (pow p 2)) 0) (* 0 (* 16 (pow p 4)))) into 0 37.066 * [backup-simplify]: Simplify (- (+ (* (/ 1/64 (pow p 6)) (/ 0 (* 64 (pow p 6)))))) into 0 37.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/64 (pow p 6))))) into 0 37.066 * [taylor]: Taking taylor expansion of 0.125 in x 37.066 * [backup-simplify]: Simplify 0.125 into 0.125 37.066 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 37.066 * [taylor]: Taking taylor expansion of 0.125 in p 37.066 * [backup-simplify]: Simplify 0.125 into 0.125 37.066 * [backup-simplify]: Simplify 0.125 into 0.125 37.067 * [backup-simplify]: Simplify (+ 0 0) into 0 37.067 * [taylor]: Taking taylor expansion of 0 in p 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify (+ 0 0) into 0 37.067 * [taylor]: Taking taylor expansion of 0 in p 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify 0 into 0 37.067 * [backup-simplify]: Simplify (* 1 1) into 1 37.067 * [backup-simplify]: Simplify (* 1 1) into 1 37.068 * [backup-simplify]: Simplify (* 1 (/ 1/8 (pow p 3))) into (/ 1/8 (pow p 3)) 37.068 * [backup-simplify]: Simplify (* 0.125 (/ 1/8 (pow p 3))) into (/ 0.015625 (pow p 3)) 37.068 * [backup-simplify]: Simplify (+ (/ 0.015625 (pow p 3)) 0) into (* 0.015625 (/ 1 (pow p 3))) 37.068 * [taylor]: Taking taylor expansion of (* 0.015625 (/ 1 (pow p 3))) in p 37.068 * [taylor]: Taking taylor expansion of 0.015625 in p 37.068 * [backup-simplify]: Simplify 0.015625 into 0.015625 37.068 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 37.068 * [taylor]: Taking taylor expansion of (pow p 3) in p 37.068 * [taylor]: Taking taylor expansion of p in p 37.068 * [backup-simplify]: Simplify 0 into 0 37.068 * [backup-simplify]: Simplify 1 into 1 37.068 * [backup-simplify]: Simplify (* 1 1) into 1 37.068 * [backup-simplify]: Simplify (* 1 1) into 1 37.069 * [backup-simplify]: Simplify (/ 1 1) into 1 37.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.074 * [backup-simplify]: Simplify (+ (* 0.015625 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.074 * [backup-simplify]: Simplify 0 into 0 37.074 * [backup-simplify]: Simplify 0.125 into 0.125 37.075 * [backup-simplify]: Simplify (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* (/ 1 x) (/ 1 x)) (/ 1 (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))))) (/ (/ 1 x) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p))))))) into (+ (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.125) 37.075 * [approximate]: Taking taylor expansion of (+ (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.125) in (x p) around 0 37.075 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.125) in p 37.075 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in p 37.075 * [taylor]: Taking taylor expansion of 0.125 in p 37.075 * [backup-simplify]: Simplify 0.125 into 0.125 37.075 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in p 37.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in p 37.075 * [taylor]: Taking taylor expansion of (pow x 3) in p 37.075 * [taylor]: Taking taylor expansion of x in p 37.075 * [backup-simplify]: Simplify x into x 37.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.075 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.075 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 37.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in p 37.075 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in p 37.076 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in p 37.076 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 37.076 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 37.076 * [taylor]: Taking taylor expansion of 4 in p 37.076 * [backup-simplify]: Simplify 4 into 4 37.076 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.076 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.076 * [taylor]: Taking taylor expansion of p in p 37.076 * [backup-simplify]: Simplify 0 into 0 37.076 * [backup-simplify]: Simplify 1 into 1 37.076 * [backup-simplify]: Simplify (* 1 1) into 1 37.076 * [backup-simplify]: Simplify (/ 1 1) into 1 37.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 37.076 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.076 * [taylor]: Taking taylor expansion of x in p 37.076 * [backup-simplify]: Simplify x into x 37.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.077 * [backup-simplify]: Simplify (* 4 1) into 4 37.077 * [backup-simplify]: Simplify (+ 4 0) into 4 37.077 * [backup-simplify]: Simplify (* 4 4) into 16 37.077 * [backup-simplify]: Simplify (* 4 16) into 64 37.078 * [backup-simplify]: Simplify (/ 1 64) into 1/64 37.078 * [backup-simplify]: Simplify (sqrt 1/64) into 1/8 37.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.079 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 37.079 * [backup-simplify]: Simplify (+ 0 0) into 0 37.080 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 4)) into 0 37.080 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 16)) into 0 37.081 * [backup-simplify]: Simplify (- (+ (* 1/64 (/ 0 64)))) into 0 37.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/64))) into 0 37.081 * [taylor]: Taking taylor expansion of 0.125 in p 37.081 * [backup-simplify]: Simplify 0.125 into 0.125 37.081 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.125) in x 37.081 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x 37.081 * [taylor]: Taking taylor expansion of 0.125 in x 37.081 * [backup-simplify]: Simplify 0.125 into 0.125 37.081 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x 37.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 37.081 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.081 * [taylor]: Taking taylor expansion of x in x 37.081 * [backup-simplify]: Simplify 0 into 0 37.081 * [backup-simplify]: Simplify 1 into 1 37.082 * [backup-simplify]: Simplify (* 1 1) into 1 37.082 * [backup-simplify]: Simplify (* 1 1) into 1 37.082 * [backup-simplify]: Simplify (/ 1 1) into 1 37.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x 37.082 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x 37.082 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x 37.082 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.082 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.082 * [taylor]: Taking taylor expansion of 4 in x 37.082 * [backup-simplify]: Simplify 4 into 4 37.082 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.082 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.082 * [taylor]: Taking taylor expansion of p in x 37.082 * [backup-simplify]: Simplify p into p 37.082 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.082 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.082 * [taylor]: Taking taylor expansion of x in x 37.082 * [backup-simplify]: Simplify 0 into 0 37.082 * [backup-simplify]: Simplify 1 into 1 37.083 * [backup-simplify]: Simplify (* 1 1) into 1 37.083 * [backup-simplify]: Simplify (/ 1 1) into 1 37.083 * [backup-simplify]: Simplify (+ 0 1) into 1 37.083 * [backup-simplify]: Simplify (* 1 1) into 1 37.084 * [backup-simplify]: Simplify (* 1 1) into 1 37.084 * [backup-simplify]: Simplify (/ 1 1) into 1 37.084 * [backup-simplify]: Simplify (sqrt 1) into 1 37.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.085 * [backup-simplify]: Simplify (+ 0 0) into 0 37.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.087 * [taylor]: Taking taylor expansion of 0.125 in x 37.087 * [backup-simplify]: Simplify 0.125 into 0.125 37.087 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) 0.125) in x 37.087 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x 37.087 * [taylor]: Taking taylor expansion of 0.125 in x 37.087 * [backup-simplify]: Simplify 0.125 into 0.125 37.087 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x 37.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 37.087 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.087 * [taylor]: Taking taylor expansion of x in x 37.087 * [backup-simplify]: Simplify 0 into 0 37.087 * [backup-simplify]: Simplify 1 into 1 37.087 * [backup-simplify]: Simplify (* 1 1) into 1 37.090 * [backup-simplify]: Simplify (* 1 1) into 1 37.091 * [backup-simplify]: Simplify (/ 1 1) into 1 37.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x 37.091 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x 37.091 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x 37.091 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.091 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.091 * [taylor]: Taking taylor expansion of 4 in x 37.091 * [backup-simplify]: Simplify 4 into 4 37.091 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.091 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.091 * [taylor]: Taking taylor expansion of p in x 37.091 * [backup-simplify]: Simplify p into p 37.091 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.091 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.091 * [taylor]: Taking taylor expansion of x in x 37.091 * [backup-simplify]: Simplify 0 into 0 37.091 * [backup-simplify]: Simplify 1 into 1 37.091 * [backup-simplify]: Simplify (* 1 1) into 1 37.091 * [backup-simplify]: Simplify (/ 1 1) into 1 37.092 * [backup-simplify]: Simplify (+ 0 1) into 1 37.092 * [backup-simplify]: Simplify (* 1 1) into 1 37.092 * [backup-simplify]: Simplify (* 1 1) into 1 37.092 * [backup-simplify]: Simplify (/ 1 1) into 1 37.093 * [backup-simplify]: Simplify (sqrt 1) into 1 37.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.094 * [backup-simplify]: Simplify (+ 0 0) into 0 37.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.095 * [taylor]: Taking taylor expansion of 0.125 in x 37.095 * [backup-simplify]: Simplify 0.125 into 0.125 37.096 * [backup-simplify]: Simplify (* 1 1) into 1 37.096 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 37.096 * [backup-simplify]: Simplify (+ 0.125 0.125) into 0.25 37.096 * [taylor]: Taking taylor expansion of 0.25 in p 37.096 * [backup-simplify]: Simplify 0.25 into 0.25 37.096 * [backup-simplify]: Simplify 0.25 into 0.25 37.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.098 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 37.098 * [backup-simplify]: Simplify (+ 0 0) into 0 37.098 * [taylor]: Taking taylor expansion of 0 in p 37.098 * [backup-simplify]: Simplify 0 into 0 37.098 * [backup-simplify]: Simplify 0 into 0 37.098 * [backup-simplify]: Simplify 0 into 0 37.099 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 37.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.100 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 37.100 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 8 (/ 1 (pow p 2))) 37.101 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 12 (/ 1 (pow p 2))) 37.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 12 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 12 (/ 1 (pow p 2)))) 37.102 * [backup-simplify]: Simplify (/ (- (- (* 12 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -6 (pow p 2)) 37.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.104 * [backup-simplify]: Simplify (+ (* 1 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 6 (/ 1 (pow p 2)))) 37.104 * [backup-simplify]: Simplify (+ (* 0.125 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 0.75 (/ 1 (pow p 2)))) 37.104 * [backup-simplify]: Simplify (+ (- (* 0.75 (/ 1 (pow p 2)))) 0) into (- (* 0.75 (/ 1 (pow p 2)))) 37.105 * [taylor]: Taking taylor expansion of (- (* 0.75 (/ 1 (pow p 2)))) in p 37.105 * [taylor]: Taking taylor expansion of (* 0.75 (/ 1 (pow p 2))) in p 37.105 * [taylor]: Taking taylor expansion of 0.75 in p 37.105 * [backup-simplify]: Simplify 0.75 into 0.75 37.105 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.105 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.105 * [taylor]: Taking taylor expansion of p in p 37.105 * [backup-simplify]: Simplify 0 into 0 37.105 * [backup-simplify]: Simplify 1 into 1 37.105 * [backup-simplify]: Simplify (* 1 1) into 1 37.105 * [backup-simplify]: Simplify (/ 1 1) into 1 37.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.107 * [backup-simplify]: Simplify (+ (* 0.75 0) (+ (* 0 0) (* 0 1))) into 0 37.108 * [backup-simplify]: Simplify (- 0) into 0 37.108 * [backup-simplify]: Simplify 0 into 0 37.108 * [backup-simplify]: Simplify 0 into 0 37.108 * [backup-simplify]: Simplify 0 into 0 37.108 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 37.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 37.108 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 37.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.110 * [backup-simplify]: Simplify (+ 0 0) into 0 37.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4 (/ 1 (pow p 2)))) (+ (* (* 4 (/ 1 (pow p 2))) 0) (* 0 1)))) into 0 37.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 8 (/ 1 (pow p 2)))) (+ (* (* 4 (/ 1 (pow p 2))) 0) (* 0 1)))) into 0 37.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 12 (/ 1 (pow p 2))) 1)) (* (- (* 12 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 37.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -6 (pow p 2)))))) (* 2 1)) into 0 37.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 37.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 37.115 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 37.116 * [backup-simplify]: Simplify (+ 0 0) into 0 37.116 * [taylor]: Taking taylor expansion of 0 in p 37.116 * [backup-simplify]: Simplify 0 into 0 37.116 * [backup-simplify]: Simplify 0 into 0 37.116 * [backup-simplify]: Simplify 0.25 into 0.25 37.117 * [backup-simplify]: Simplify (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))))) (/ (/ 1 (- x)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p)))))))) into (- 0.125 (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) 37.117 * [approximate]: Taking taylor expansion of (- 0.125 (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in (x p) around 0 37.117 * [taylor]: Taking taylor expansion of (- 0.125 (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in p 37.117 * [taylor]: Taking taylor expansion of 0.125 in p 37.117 * [backup-simplify]: Simplify 0.125 into 0.125 37.117 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in p 37.117 * [taylor]: Taking taylor expansion of 0.125 in p 37.117 * [backup-simplify]: Simplify 0.125 into 0.125 37.117 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in p 37.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in p 37.117 * [taylor]: Taking taylor expansion of (pow x 3) in p 37.117 * [taylor]: Taking taylor expansion of x in p 37.117 * [backup-simplify]: Simplify x into x 37.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.117 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 37.118 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 37.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in p 37.118 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in p 37.118 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in p 37.118 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 37.118 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 37.118 * [taylor]: Taking taylor expansion of 4 in p 37.118 * [backup-simplify]: Simplify 4 into 4 37.118 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.118 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.118 * [taylor]: Taking taylor expansion of p in p 37.118 * [backup-simplify]: Simplify 0 into 0 37.118 * [backup-simplify]: Simplify 1 into 1 37.118 * [backup-simplify]: Simplify (* 1 1) into 1 37.118 * [backup-simplify]: Simplify (/ 1 1) into 1 37.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 37.118 * [taylor]: Taking taylor expansion of (pow x 2) in p 37.118 * [taylor]: Taking taylor expansion of x in p 37.118 * [backup-simplify]: Simplify x into x 37.118 * [backup-simplify]: Simplify (* x x) into (pow x 2) 37.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 37.119 * [backup-simplify]: Simplify (* 4 1) into 4 37.119 * [backup-simplify]: Simplify (+ 4 0) into 4 37.119 * [backup-simplify]: Simplify (* 4 4) into 16 37.119 * [backup-simplify]: Simplify (* 4 16) into 64 37.120 * [backup-simplify]: Simplify (/ 1 64) into 1/64 37.120 * [backup-simplify]: Simplify (sqrt 1/64) into 1/8 37.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.121 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 37.121 * [backup-simplify]: Simplify (+ 0 0) into 0 37.122 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 4)) into 0 37.122 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 16)) into 0 37.123 * [backup-simplify]: Simplify (- (+ (* 1/64 (/ 0 64)))) into 0 37.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/64))) into 0 37.123 * [taylor]: Taking taylor expansion of (- 0.125 (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in x 37.123 * [taylor]: Taking taylor expansion of 0.125 in x 37.123 * [backup-simplify]: Simplify 0.125 into 0.125 37.123 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x 37.123 * [taylor]: Taking taylor expansion of 0.125 in x 37.123 * [backup-simplify]: Simplify 0.125 into 0.125 37.123 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x 37.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 37.123 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.123 * [taylor]: Taking taylor expansion of x in x 37.123 * [backup-simplify]: Simplify 0 into 0 37.123 * [backup-simplify]: Simplify 1 into 1 37.123 * [backup-simplify]: Simplify (* 1 1) into 1 37.124 * [backup-simplify]: Simplify (* 1 1) into 1 37.124 * [backup-simplify]: Simplify (/ 1 1) into 1 37.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x 37.124 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x 37.124 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x 37.124 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.124 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.124 * [taylor]: Taking taylor expansion of 4 in x 37.124 * [backup-simplify]: Simplify 4 into 4 37.124 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.124 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.124 * [taylor]: Taking taylor expansion of p in x 37.124 * [backup-simplify]: Simplify p into p 37.124 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.124 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.124 * [taylor]: Taking taylor expansion of x in x 37.124 * [backup-simplify]: Simplify 0 into 0 37.124 * [backup-simplify]: Simplify 1 into 1 37.124 * [backup-simplify]: Simplify (* 1 1) into 1 37.125 * [backup-simplify]: Simplify (/ 1 1) into 1 37.125 * [backup-simplify]: Simplify (+ 0 1) into 1 37.125 * [backup-simplify]: Simplify (* 1 1) into 1 37.125 * [backup-simplify]: Simplify (* 1 1) into 1 37.126 * [backup-simplify]: Simplify (/ 1 1) into 1 37.126 * [backup-simplify]: Simplify (sqrt 1) into 1 37.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.127 * [backup-simplify]: Simplify (+ 0 0) into 0 37.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.129 * [taylor]: Taking taylor expansion of (- 0.125 (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))))) in x 37.129 * [taylor]: Taking taylor expansion of 0.125 in x 37.129 * [backup-simplify]: Simplify 0.125 into 0.125 37.129 * [taylor]: Taking taylor expansion of (* 0.125 (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))))) in x 37.129 * [taylor]: Taking taylor expansion of 0.125 in x 37.129 * [backup-simplify]: Simplify 0.125 into 0.125 37.129 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 3)) (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)))) in x 37.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 37.129 * [taylor]: Taking taylor expansion of (pow x 3) in x 37.129 * [taylor]: Taking taylor expansion of x in x 37.129 * [backup-simplify]: Simplify 0 into 0 37.129 * [backup-simplify]: Simplify 1 into 1 37.129 * [backup-simplify]: Simplify (* 1 1) into 1 37.130 * [backup-simplify]: Simplify (* 1 1) into 1 37.130 * [backup-simplify]: Simplify (/ 1 1) into 1 37.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3))) in x 37.130 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3)) in x 37.130 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 3) in x 37.130 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 37.130 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 37.130 * [taylor]: Taking taylor expansion of 4 in x 37.130 * [backup-simplify]: Simplify 4 into 4 37.130 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 37.130 * [taylor]: Taking taylor expansion of (pow p 2) in x 37.130 * [taylor]: Taking taylor expansion of p in x 37.130 * [backup-simplify]: Simplify p into p 37.130 * [backup-simplify]: Simplify (* p p) into (pow p 2) 37.130 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 37.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 37.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 37.130 * [taylor]: Taking taylor expansion of x in x 37.130 * [backup-simplify]: Simplify 0 into 0 37.130 * [backup-simplify]: Simplify 1 into 1 37.130 * [backup-simplify]: Simplify (* 1 1) into 1 37.131 * [backup-simplify]: Simplify (/ 1 1) into 1 37.131 * [backup-simplify]: Simplify (+ 0 1) into 1 37.131 * [backup-simplify]: Simplify (* 1 1) into 1 37.131 * [backup-simplify]: Simplify (* 1 1) into 1 37.132 * [backup-simplify]: Simplify (/ 1 1) into 1 37.132 * [backup-simplify]: Simplify (sqrt 1) into 1 37.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.133 * [backup-simplify]: Simplify (+ 0 0) into 0 37.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 37.135 * [backup-simplify]: Simplify (* 1 1) into 1 37.135 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 37.136 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 37.136 * [backup-simplify]: Simplify (+ 0.125 (- 0.125)) into 0 37.136 * [taylor]: Taking taylor expansion of 0 in p 37.136 * [backup-simplify]: Simplify 0 into 0 37.136 * [backup-simplify]: Simplify 0 into 0 37.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.138 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 37.138 * [backup-simplify]: Simplify (- 0) into 0 37.139 * [backup-simplify]: Simplify (+ 0 0) into 0 37.139 * [taylor]: Taking taylor expansion of 0 in p 37.139 * [backup-simplify]: Simplify 0 into 0 37.139 * [backup-simplify]: Simplify 0 into 0 37.139 * [backup-simplify]: Simplify 0 into 0 37.139 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 37.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.140 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 37.140 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 8 (/ 1 (pow p 2))) 37.141 * [backup-simplify]: Simplify (+ (* 1 (* 8 (/ 1 (pow p 2)))) (+ (* 0 0) (* (* 4 (/ 1 (pow p 2))) 1))) into (* 12 (/ 1 (pow p 2))) 37.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 12 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 12 (/ 1 (pow p 2)))) 37.142 * [backup-simplify]: Simplify (/ (- (- (* 12 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -6 (pow p 2)) 37.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.144 * [backup-simplify]: Simplify (+ (* 1 (/ -6 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 6 (/ 1 (pow p 2)))) 37.145 * [backup-simplify]: Simplify (+ (* 0.125 (- (* 6 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 0.75 (/ 1 (pow p 2)))) 37.145 * [backup-simplify]: Simplify (- (- (* 0.75 (/ 1 (pow p 2))))) into (* 0.75 (/ 1 (pow p 2))) 37.145 * [backup-simplify]: Simplify (+ 0 (* 0.75 (/ 1 (pow p 2)))) into (* 0.75 (/ 1 (pow p 2))) 37.145 * [taylor]: Taking taylor expansion of (* 0.75 (/ 1 (pow p 2))) in p 37.145 * [taylor]: Taking taylor expansion of 0.75 in p 37.145 * [backup-simplify]: Simplify 0.75 into 0.75 37.145 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 37.145 * [taylor]: Taking taylor expansion of (pow p 2) in p 37.145 * [taylor]: Taking taylor expansion of p in p 37.145 * [backup-simplify]: Simplify 0 into 0 37.145 * [backup-simplify]: Simplify 1 into 1 37.145 * [backup-simplify]: Simplify (* 1 1) into 1 37.146 * [backup-simplify]: Simplify (/ 1 1) into 1 37.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 37.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 37.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 37.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 37.148 * [backup-simplify]: Simplify (+ (* 0.75 0) (+ (* 0 0) (* 0 1))) into 0 37.148 * [backup-simplify]: Simplify 0 into 0 37.148 * [backup-simplify]: Simplify 0 into 0 37.148 * [backup-simplify]: Simplify 0 into 0 37.148 * [backup-simplify]: Simplify 0 into 0 37.148 * * * [progress]: simplifying candidates 37.148 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 37.148 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> 37.149 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 37.149 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 37.150 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 37.150 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 37.151 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 37.151 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 37.151 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 37.152 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 37.152 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (* (exp (* 0.5 (* 0.5 0.5))) (exp (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (log (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (exp (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (* (cbrt (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (cbrt (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (cbrt (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (* (* (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (sqrt (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (+ (pow (* 0.5 (* 0.5 0.5)) 3) (pow (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) 3)) (+ (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))) (- (* (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (* (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))) (- (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))) (* (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (- (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (real->posit16 (+ (* 0.5 (* 0.5 0.5)) (* (* (* 0.5 (* 0.5 0.5)) (* (* x x) (/ 1 (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 0.125 0.25 0 37.154 * * [simplify]: iteration 0: 75 enodes 37.168 * * [simplify]: iteration 1: 209 enodes 37.226 * * [simplify]: iteration 2: 799 enodes 37.510 * * [simplify]: iteration complete: 5001 enodes 37.510 * * [simplify]: Extracting #0: cost 33 inf + 0 37.510 * * [simplify]: Extracting #1: cost 97 inf + 6 37.512 * * [simplify]: Extracting #2: cost 858 inf + 52 37.517 * * [simplify]: Extracting #3: cost 1773 inf + 1425 37.531 * * [simplify]: Extracting #4: cost 1779 inf + 29975 37.555 * * [simplify]: Extracting #5: cost 1321 inf + 128315 37.618 * * [simplify]: Extracting #6: cost 843 inf + 322500 37.771 * * [simplify]: Extracting #7: cost 130 inf + 699695 37.956 * * [simplify]: Extracting #8: cost 3 inf + 767780 38.140 * * [simplify]: Extracting #9: cost 0 inf + 767681 38.321 * * [simplify]: Extracting #10: cost 0 inf + 767680 38.502 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x))))) (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x))))) (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) (fabs (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) 1 (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* (* (* (* p 4) p) (* (* p 4) p)) (* (* p 4) p)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (- (* (* p 4) p) (* x x))))) (sqrt (* (- (* x x) (* (* p 4) p)) (+ (* x x) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (exp (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (log (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (exp (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (* (cbrt (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (cbrt (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5))))) (cbrt (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (* (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5))) (* (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5))) (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5))))) (sqrt (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (sqrt (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (+ (* (* (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5))) (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5)))))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* (* 0.5 (* 0.5 0.5)) (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))))) (+ (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))) (- (* (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5)))) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5))) (* (* 0.5 (* 0.5 0.5)) x)) (sqrt (+ (* x x) (* (* p 4) p)))))) (- (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))) (* (* (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5))) (* (/ (* x x) (+ (* x x) (* (* p 4) p))) (* 0.5 (* 0.5 0.5)))) (/ (* x x) (+ (* x x) (* (* p 4) p))))) (* 0.5 (- (* 0.5 0.5) (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))))) (real->posit16 (* 0.5 (+ (* (* (* 0.5 0.5) (/ (* x x) (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (* 0.5 0.5)))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 0.125 0.25 0 38.516 * * * [progress]: adding candidates to table 38.902 * * [progress]: iteration 4 / 4 38.902 * * * [progress]: picking best candidate 38.973 * * * * [pick]: Picked # 38.973 * * * [progress]: localizing error 39.021 * * * [progress]: generating rewritten candidates 39.021 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 2 2) 39.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2) 39.041 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 39.049 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 2) 39.065 * * * [progress]: generating series expansions 39.065 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 2 2) 39.065 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 39.065 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 39.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 39.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 39.065 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.065 * [taylor]: Taking taylor expansion of x in p 39.065 * [backup-simplify]: Simplify x into x 39.065 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 39.065 * [taylor]: Taking taylor expansion of 4 in p 39.065 * [backup-simplify]: Simplify 4 into 4 39.065 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.065 * [taylor]: Taking taylor expansion of p in p 39.065 * [backup-simplify]: Simplify 0 into 0 39.065 * [backup-simplify]: Simplify 1 into 1 39.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.065 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 39.065 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 39.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 39.066 * [backup-simplify]: Simplify (+ 0 0) into 0 39.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 39.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.066 * [taylor]: Taking taylor expansion of x in x 39.066 * [backup-simplify]: Simplify 0 into 0 39.066 * [backup-simplify]: Simplify 1 into 1 39.066 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.066 * [taylor]: Taking taylor expansion of 4 in x 39.066 * [backup-simplify]: Simplify 4 into 4 39.066 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.066 * [taylor]: Taking taylor expansion of p in x 39.066 * [backup-simplify]: Simplify p into p 39.066 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.066 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.066 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.066 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.066 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.067 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.067 * [backup-simplify]: Simplify (+ 0 0) into 0 39.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.067 * [taylor]: Taking taylor expansion of x in x 39.067 * [backup-simplify]: Simplify 0 into 0 39.067 * [backup-simplify]: Simplify 1 into 1 39.067 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.067 * [taylor]: Taking taylor expansion of 4 in x 39.067 * [backup-simplify]: Simplify 4 into 4 39.067 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.067 * [taylor]: Taking taylor expansion of p in x 39.067 * [backup-simplify]: Simplify p into p 39.067 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.067 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.067 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.068 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.068 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.068 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.068 * [backup-simplify]: Simplify (+ 0 0) into 0 39.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.068 * [taylor]: Taking taylor expansion of (* 2 p) in p 39.068 * [taylor]: Taking taylor expansion of 2 in p 39.068 * [backup-simplify]: Simplify 2 into 2 39.068 * [taylor]: Taking taylor expansion of p in p 39.068 * [backup-simplify]: Simplify 0 into 0 39.068 * [backup-simplify]: Simplify 1 into 1 39.069 * [backup-simplify]: Simplify (* 2 0) into 0 39.069 * [backup-simplify]: Simplify 0 into 0 39.069 * [taylor]: Taking taylor expansion of 0 in p 39.069 * [backup-simplify]: Simplify 0 into 0 39.069 * [backup-simplify]: Simplify 0 into 0 39.069 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 39.069 * [backup-simplify]: Simplify 2 into 2 39.069 * [backup-simplify]: Simplify (* 1 1) into 1 39.070 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 39.070 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 39.071 * [backup-simplify]: Simplify (+ 1 0) into 1 39.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 39.071 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 39.071 * [taylor]: Taking taylor expansion of 1/4 in p 39.071 * [backup-simplify]: Simplify 1/4 into 1/4 39.071 * [taylor]: Taking taylor expansion of p in p 39.071 * [backup-simplify]: Simplify 0 into 0 39.071 * [backup-simplify]: Simplify 1 into 1 39.071 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 39.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 39.072 * [backup-simplify]: Simplify 0 into 0 39.072 * [backup-simplify]: Simplify 0 into 0 39.072 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 39.072 * [backup-simplify]: Simplify 0 into 0 39.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.073 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 39.074 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 39.074 * [backup-simplify]: Simplify (+ 0 0) into 0 39.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 39.074 * [taylor]: Taking taylor expansion of 0 in p 39.074 * [backup-simplify]: Simplify 0 into 0 39.074 * [backup-simplify]: Simplify 0 into 0 39.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.075 * [backup-simplify]: Simplify 0 into 0 39.075 * [backup-simplify]: Simplify 0 into 0 39.075 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 39.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.075 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.075 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.075 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.075 * [taylor]: Taking taylor expansion of 4 in p 39.075 * [backup-simplify]: Simplify 4 into 4 39.075 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.075 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.075 * [taylor]: Taking taylor expansion of p in p 39.075 * [backup-simplify]: Simplify 0 into 0 39.076 * [backup-simplify]: Simplify 1 into 1 39.076 * [backup-simplify]: Simplify (* 1 1) into 1 39.076 * [backup-simplify]: Simplify (/ 1 1) into 1 39.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.076 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.076 * [taylor]: Taking taylor expansion of x in p 39.076 * [backup-simplify]: Simplify x into x 39.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.076 * [backup-simplify]: Simplify (* 4 1) into 4 39.077 * [backup-simplify]: Simplify (+ 4 0) into 4 39.077 * [backup-simplify]: Simplify (sqrt 4) into 2 39.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.078 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.078 * [backup-simplify]: Simplify (+ 0 0) into 0 39.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.079 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.079 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.079 * [taylor]: Taking taylor expansion of 4 in x 39.079 * [backup-simplify]: Simplify 4 into 4 39.079 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.079 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.079 * [taylor]: Taking taylor expansion of p in x 39.079 * [backup-simplify]: Simplify p into p 39.079 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.079 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.079 * [taylor]: Taking taylor expansion of x in x 39.079 * [backup-simplify]: Simplify 0 into 0 39.079 * [backup-simplify]: Simplify 1 into 1 39.079 * [backup-simplify]: Simplify (* 1 1) into 1 39.080 * [backup-simplify]: Simplify (/ 1 1) into 1 39.080 * [backup-simplify]: Simplify (+ 0 1) into 1 39.080 * [backup-simplify]: Simplify (sqrt 1) into 1 39.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.081 * [backup-simplify]: Simplify (+ 0 0) into 0 39.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.081 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.082 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.082 * [taylor]: Taking taylor expansion of 4 in x 39.082 * [backup-simplify]: Simplify 4 into 4 39.082 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.082 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.082 * [taylor]: Taking taylor expansion of p in x 39.082 * [backup-simplify]: Simplify p into p 39.082 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.082 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.082 * [taylor]: Taking taylor expansion of x in x 39.082 * [backup-simplify]: Simplify 0 into 0 39.082 * [backup-simplify]: Simplify 1 into 1 39.082 * [backup-simplify]: Simplify (* 1 1) into 1 39.082 * [backup-simplify]: Simplify (/ 1 1) into 1 39.082 * [backup-simplify]: Simplify (+ 0 1) into 1 39.083 * [backup-simplify]: Simplify (sqrt 1) into 1 39.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.084 * [backup-simplify]: Simplify (+ 0 0) into 0 39.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.084 * [taylor]: Taking taylor expansion of 1 in p 39.084 * [backup-simplify]: Simplify 1 into 1 39.084 * [taylor]: Taking taylor expansion of 0 in p 39.084 * [backup-simplify]: Simplify 0 into 0 39.084 * [backup-simplify]: Simplify 1 into 1 39.084 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.086 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.086 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.086 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.086 * [taylor]: Taking taylor expansion of 2 in p 39.086 * [backup-simplify]: Simplify 2 into 2 39.086 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.086 * [taylor]: Taking taylor expansion of p in p 39.086 * [backup-simplify]: Simplify 0 into 0 39.086 * [backup-simplify]: Simplify 1 into 1 39.087 * [backup-simplify]: Simplify (* 1 1) into 1 39.087 * [backup-simplify]: Simplify (/ 2 1) into 2 39.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.088 * [backup-simplify]: Simplify 0 into 0 39.088 * [backup-simplify]: Simplify 0 into 0 39.088 * [backup-simplify]: Simplify 0 into 0 39.088 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.088 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.090 * [backup-simplify]: Simplify (+ 0 0) into 0 39.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.090 * [taylor]: Taking taylor expansion of 0 in p 39.090 * [backup-simplify]: Simplify 0 into 0 39.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.091 * [backup-simplify]: Simplify 0 into 0 39.091 * [backup-simplify]: Simplify 0 into 0 39.091 * [backup-simplify]: Simplify 0 into 0 39.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 39.091 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.091 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.091 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.091 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.091 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.092 * [taylor]: Taking taylor expansion of 4 in p 39.092 * [backup-simplify]: Simplify 4 into 4 39.092 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.092 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.092 * [taylor]: Taking taylor expansion of p in p 39.092 * [backup-simplify]: Simplify 0 into 0 39.092 * [backup-simplify]: Simplify 1 into 1 39.092 * [backup-simplify]: Simplify (* 1 1) into 1 39.092 * [backup-simplify]: Simplify (/ 1 1) into 1 39.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.092 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.092 * [taylor]: Taking taylor expansion of x in p 39.092 * [backup-simplify]: Simplify x into x 39.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.092 * [backup-simplify]: Simplify (* 4 1) into 4 39.093 * [backup-simplify]: Simplify (+ 4 0) into 4 39.093 * [backup-simplify]: Simplify (sqrt 4) into 2 39.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.098 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.098 * [backup-simplify]: Simplify (+ 0 0) into 0 39.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.098 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.098 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.098 * [taylor]: Taking taylor expansion of 4 in x 39.098 * [backup-simplify]: Simplify 4 into 4 39.098 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.098 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.098 * [taylor]: Taking taylor expansion of p in x 39.098 * [backup-simplify]: Simplify p into p 39.098 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.099 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.099 * [taylor]: Taking taylor expansion of x in x 39.099 * [backup-simplify]: Simplify 0 into 0 39.099 * [backup-simplify]: Simplify 1 into 1 39.099 * [backup-simplify]: Simplify (* 1 1) into 1 39.099 * [backup-simplify]: Simplify (/ 1 1) into 1 39.099 * [backup-simplify]: Simplify (+ 0 1) into 1 39.100 * [backup-simplify]: Simplify (sqrt 1) into 1 39.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.101 * [backup-simplify]: Simplify (+ 0 0) into 0 39.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.101 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.101 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.101 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.101 * [taylor]: Taking taylor expansion of 4 in x 39.101 * [backup-simplify]: Simplify 4 into 4 39.101 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.101 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.101 * [taylor]: Taking taylor expansion of p in x 39.101 * [backup-simplify]: Simplify p into p 39.101 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.101 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.101 * [taylor]: Taking taylor expansion of x in x 39.101 * [backup-simplify]: Simplify 0 into 0 39.101 * [backup-simplify]: Simplify 1 into 1 39.101 * [backup-simplify]: Simplify (* 1 1) into 1 39.102 * [backup-simplify]: Simplify (/ 1 1) into 1 39.102 * [backup-simplify]: Simplify (+ 0 1) into 1 39.102 * [backup-simplify]: Simplify (sqrt 1) into 1 39.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.103 * [backup-simplify]: Simplify (+ 0 0) into 0 39.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.104 * [taylor]: Taking taylor expansion of 1 in p 39.104 * [backup-simplify]: Simplify 1 into 1 39.104 * [taylor]: Taking taylor expansion of 0 in p 39.104 * [backup-simplify]: Simplify 0 into 0 39.104 * [backup-simplify]: Simplify 1 into 1 39.104 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.105 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.106 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.106 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.106 * [taylor]: Taking taylor expansion of 2 in p 39.106 * [backup-simplify]: Simplify 2 into 2 39.106 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.106 * [taylor]: Taking taylor expansion of p in p 39.106 * [backup-simplify]: Simplify 0 into 0 39.106 * [backup-simplify]: Simplify 1 into 1 39.106 * [backup-simplify]: Simplify (* 1 1) into 1 39.106 * [backup-simplify]: Simplify (/ 2 1) into 2 39.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.107 * [backup-simplify]: Simplify 0 into 0 39.107 * [backup-simplify]: Simplify 0 into 0 39.107 * [backup-simplify]: Simplify 0 into 0 39.107 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.108 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.109 * [backup-simplify]: Simplify (+ 0 0) into 0 39.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.110 * [taylor]: Taking taylor expansion of 0 in p 39.110 * [backup-simplify]: Simplify 0 into 0 39.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.111 * [backup-simplify]: Simplify 0 into 0 39.111 * [backup-simplify]: Simplify 0 into 0 39.111 * [backup-simplify]: Simplify 0 into 0 39.111 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 39.111 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2) 39.111 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 39.111 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 39.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 39.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 39.111 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.111 * [taylor]: Taking taylor expansion of x in p 39.111 * [backup-simplify]: Simplify x into x 39.111 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 39.111 * [taylor]: Taking taylor expansion of 4 in p 39.111 * [backup-simplify]: Simplify 4 into 4 39.111 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.111 * [taylor]: Taking taylor expansion of p in p 39.111 * [backup-simplify]: Simplify 0 into 0 39.111 * [backup-simplify]: Simplify 1 into 1 39.111 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.111 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 39.111 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 39.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 39.112 * [backup-simplify]: Simplify (+ 0 0) into 0 39.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 39.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.112 * [taylor]: Taking taylor expansion of x in x 39.112 * [backup-simplify]: Simplify 0 into 0 39.112 * [backup-simplify]: Simplify 1 into 1 39.112 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.112 * [taylor]: Taking taylor expansion of 4 in x 39.112 * [backup-simplify]: Simplify 4 into 4 39.112 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.112 * [taylor]: Taking taylor expansion of p in x 39.112 * [backup-simplify]: Simplify p into p 39.112 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.112 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.112 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.112 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.112 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.113 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.113 * [backup-simplify]: Simplify (+ 0 0) into 0 39.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.113 * [taylor]: Taking taylor expansion of x in x 39.113 * [backup-simplify]: Simplify 0 into 0 39.113 * [backup-simplify]: Simplify 1 into 1 39.113 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.113 * [taylor]: Taking taylor expansion of 4 in x 39.113 * [backup-simplify]: Simplify 4 into 4 39.113 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.113 * [taylor]: Taking taylor expansion of p in x 39.113 * [backup-simplify]: Simplify p into p 39.113 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.113 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.113 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.113 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.113 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.114 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.114 * [backup-simplify]: Simplify (+ 0 0) into 0 39.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.114 * [taylor]: Taking taylor expansion of (* 2 p) in p 39.114 * [taylor]: Taking taylor expansion of 2 in p 39.114 * [backup-simplify]: Simplify 2 into 2 39.114 * [taylor]: Taking taylor expansion of p in p 39.114 * [backup-simplify]: Simplify 0 into 0 39.114 * [backup-simplify]: Simplify 1 into 1 39.114 * [backup-simplify]: Simplify (* 2 0) into 0 39.115 * [backup-simplify]: Simplify 0 into 0 39.115 * [taylor]: Taking taylor expansion of 0 in p 39.115 * [backup-simplify]: Simplify 0 into 0 39.115 * [backup-simplify]: Simplify 0 into 0 39.115 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 39.115 * [backup-simplify]: Simplify 2 into 2 39.115 * [backup-simplify]: Simplify (* 1 1) into 1 39.116 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 39.116 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 39.116 * [backup-simplify]: Simplify (+ 1 0) into 1 39.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 39.117 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 39.117 * [taylor]: Taking taylor expansion of 1/4 in p 39.117 * [backup-simplify]: Simplify 1/4 into 1/4 39.117 * [taylor]: Taking taylor expansion of p in p 39.117 * [backup-simplify]: Simplify 0 into 0 39.117 * [backup-simplify]: Simplify 1 into 1 39.117 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 39.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 39.118 * [backup-simplify]: Simplify 0 into 0 39.118 * [backup-simplify]: Simplify 0 into 0 39.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 39.118 * [backup-simplify]: Simplify 0 into 0 39.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.119 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 39.120 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 39.120 * [backup-simplify]: Simplify (+ 0 0) into 0 39.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 39.120 * [taylor]: Taking taylor expansion of 0 in p 39.120 * [backup-simplify]: Simplify 0 into 0 39.120 * [backup-simplify]: Simplify 0 into 0 39.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.121 * [backup-simplify]: Simplify 0 into 0 39.121 * [backup-simplify]: Simplify 0 into 0 39.121 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 39.121 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.121 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.121 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.121 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.121 * [taylor]: Taking taylor expansion of 4 in p 39.121 * [backup-simplify]: Simplify 4 into 4 39.121 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.121 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.121 * [taylor]: Taking taylor expansion of p in p 39.121 * [backup-simplify]: Simplify 0 into 0 39.121 * [backup-simplify]: Simplify 1 into 1 39.122 * [backup-simplify]: Simplify (* 1 1) into 1 39.122 * [backup-simplify]: Simplify (/ 1 1) into 1 39.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.122 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.122 * [taylor]: Taking taylor expansion of x in p 39.122 * [backup-simplify]: Simplify x into x 39.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.122 * [backup-simplify]: Simplify (* 4 1) into 4 39.122 * [backup-simplify]: Simplify (+ 4 0) into 4 39.123 * [backup-simplify]: Simplify (sqrt 4) into 2 39.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.124 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.124 * [backup-simplify]: Simplify (+ 0 0) into 0 39.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.125 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.125 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.125 * [taylor]: Taking taylor expansion of 4 in x 39.125 * [backup-simplify]: Simplify 4 into 4 39.125 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.125 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.125 * [taylor]: Taking taylor expansion of p in x 39.125 * [backup-simplify]: Simplify p into p 39.125 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.125 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.125 * [taylor]: Taking taylor expansion of x in x 39.125 * [backup-simplify]: Simplify 0 into 0 39.125 * [backup-simplify]: Simplify 1 into 1 39.125 * [backup-simplify]: Simplify (* 1 1) into 1 39.125 * [backup-simplify]: Simplify (/ 1 1) into 1 39.126 * [backup-simplify]: Simplify (+ 0 1) into 1 39.126 * [backup-simplify]: Simplify (sqrt 1) into 1 39.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.127 * [backup-simplify]: Simplify (+ 0 0) into 0 39.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.127 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.127 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.127 * [taylor]: Taking taylor expansion of 4 in x 39.127 * [backup-simplify]: Simplify 4 into 4 39.127 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.127 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.127 * [taylor]: Taking taylor expansion of p in x 39.127 * [backup-simplify]: Simplify p into p 39.127 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.128 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.128 * [taylor]: Taking taylor expansion of x in x 39.128 * [backup-simplify]: Simplify 0 into 0 39.128 * [backup-simplify]: Simplify 1 into 1 39.128 * [backup-simplify]: Simplify (* 1 1) into 1 39.128 * [backup-simplify]: Simplify (/ 1 1) into 1 39.128 * [backup-simplify]: Simplify (+ 0 1) into 1 39.129 * [backup-simplify]: Simplify (sqrt 1) into 1 39.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.130 * [backup-simplify]: Simplify (+ 0 0) into 0 39.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.130 * [taylor]: Taking taylor expansion of 1 in p 39.130 * [backup-simplify]: Simplify 1 into 1 39.130 * [taylor]: Taking taylor expansion of 0 in p 39.130 * [backup-simplify]: Simplify 0 into 0 39.130 * [backup-simplify]: Simplify 1 into 1 39.130 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.131 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.132 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.132 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.132 * [taylor]: Taking taylor expansion of 2 in p 39.132 * [backup-simplify]: Simplify 2 into 2 39.132 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.132 * [taylor]: Taking taylor expansion of p in p 39.132 * [backup-simplify]: Simplify 0 into 0 39.132 * [backup-simplify]: Simplify 1 into 1 39.132 * [backup-simplify]: Simplify (* 1 1) into 1 39.133 * [backup-simplify]: Simplify (/ 2 1) into 2 39.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.134 * [backup-simplify]: Simplify 0 into 0 39.134 * [backup-simplify]: Simplify 0 into 0 39.134 * [backup-simplify]: Simplify 0 into 0 39.134 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.134 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.135 * [backup-simplify]: Simplify (+ 0 0) into 0 39.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.136 * [taylor]: Taking taylor expansion of 0 in p 39.136 * [backup-simplify]: Simplify 0 into 0 39.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.137 * [backup-simplify]: Simplify 0 into 0 39.137 * [backup-simplify]: Simplify 0 into 0 39.137 * [backup-simplify]: Simplify 0 into 0 39.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 39.137 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.137 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.137 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.137 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.137 * [taylor]: Taking taylor expansion of 4 in p 39.137 * [backup-simplify]: Simplify 4 into 4 39.137 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.137 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.137 * [taylor]: Taking taylor expansion of p in p 39.137 * [backup-simplify]: Simplify 0 into 0 39.137 * [backup-simplify]: Simplify 1 into 1 39.138 * [backup-simplify]: Simplify (* 1 1) into 1 39.138 * [backup-simplify]: Simplify (/ 1 1) into 1 39.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.138 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.138 * [taylor]: Taking taylor expansion of x in p 39.138 * [backup-simplify]: Simplify x into x 39.138 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.138 * [backup-simplify]: Simplify (* 4 1) into 4 39.139 * [backup-simplify]: Simplify (+ 4 0) into 4 39.139 * [backup-simplify]: Simplify (sqrt 4) into 2 39.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.140 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.140 * [backup-simplify]: Simplify (+ 0 0) into 0 39.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.141 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.141 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.141 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.141 * [taylor]: Taking taylor expansion of 4 in x 39.141 * [backup-simplify]: Simplify 4 into 4 39.141 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.141 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.141 * [taylor]: Taking taylor expansion of p in x 39.141 * [backup-simplify]: Simplify p into p 39.141 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.141 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.141 * [taylor]: Taking taylor expansion of x in x 39.141 * [backup-simplify]: Simplify 0 into 0 39.141 * [backup-simplify]: Simplify 1 into 1 39.141 * [backup-simplify]: Simplify (* 1 1) into 1 39.141 * [backup-simplify]: Simplify (/ 1 1) into 1 39.142 * [backup-simplify]: Simplify (+ 0 1) into 1 39.142 * [backup-simplify]: Simplify (sqrt 1) into 1 39.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.143 * [backup-simplify]: Simplify (+ 0 0) into 0 39.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.144 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.144 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.144 * [taylor]: Taking taylor expansion of 4 in x 39.144 * [backup-simplify]: Simplify 4 into 4 39.144 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.144 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.144 * [taylor]: Taking taylor expansion of p in x 39.144 * [backup-simplify]: Simplify p into p 39.144 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.144 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.144 * [taylor]: Taking taylor expansion of x in x 39.144 * [backup-simplify]: Simplify 0 into 0 39.144 * [backup-simplify]: Simplify 1 into 1 39.144 * [backup-simplify]: Simplify (* 1 1) into 1 39.144 * [backup-simplify]: Simplify (/ 1 1) into 1 39.145 * [backup-simplify]: Simplify (+ 0 1) into 1 39.145 * [backup-simplify]: Simplify (sqrt 1) into 1 39.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.146 * [backup-simplify]: Simplify (+ 0 0) into 0 39.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.146 * [taylor]: Taking taylor expansion of 1 in p 39.146 * [backup-simplify]: Simplify 1 into 1 39.146 * [taylor]: Taking taylor expansion of 0 in p 39.146 * [backup-simplify]: Simplify 0 into 0 39.146 * [backup-simplify]: Simplify 1 into 1 39.147 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.148 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.148 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.148 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.148 * [taylor]: Taking taylor expansion of 2 in p 39.148 * [backup-simplify]: Simplify 2 into 2 39.148 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.148 * [taylor]: Taking taylor expansion of p in p 39.148 * [backup-simplify]: Simplify 0 into 0 39.148 * [backup-simplify]: Simplify 1 into 1 39.149 * [backup-simplify]: Simplify (* 1 1) into 1 39.149 * [backup-simplify]: Simplify (/ 2 1) into 2 39.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.150 * [backup-simplify]: Simplify 0 into 0 39.150 * [backup-simplify]: Simplify 0 into 0 39.150 * [backup-simplify]: Simplify 0 into 0 39.150 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.150 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.152 * [backup-simplify]: Simplify (+ 0 0) into 0 39.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.152 * [taylor]: Taking taylor expansion of 0 in p 39.152 * [backup-simplify]: Simplify 0 into 0 39.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.153 * [backup-simplify]: Simplify 0 into 0 39.153 * [backup-simplify]: Simplify 0 into 0 39.153 * [backup-simplify]: Simplify 0 into 0 39.153 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 39.153 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 39.154 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p 4) p))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 39.154 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 39.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 39.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 39.154 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.154 * [taylor]: Taking taylor expansion of x in p 39.154 * [backup-simplify]: Simplify x into x 39.154 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 39.154 * [taylor]: Taking taylor expansion of 4 in p 39.154 * [backup-simplify]: Simplify 4 into 4 39.154 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.154 * [taylor]: Taking taylor expansion of p in p 39.154 * [backup-simplify]: Simplify 0 into 0 39.154 * [backup-simplify]: Simplify 1 into 1 39.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.154 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 39.154 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 39.154 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 39.154 * [backup-simplify]: Simplify (+ 0 0) into 0 39.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 39.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.154 * [taylor]: Taking taylor expansion of x in x 39.154 * [backup-simplify]: Simplify 0 into 0 39.154 * [backup-simplify]: Simplify 1 into 1 39.154 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.154 * [taylor]: Taking taylor expansion of 4 in x 39.154 * [backup-simplify]: Simplify 4 into 4 39.154 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.154 * [taylor]: Taking taylor expansion of p in x 39.154 * [backup-simplify]: Simplify p into p 39.154 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.155 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.155 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.155 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.155 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.155 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.155 * [backup-simplify]: Simplify (+ 0 0) into 0 39.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 39.155 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.156 * [taylor]: Taking taylor expansion of x in x 39.156 * [backup-simplify]: Simplify 0 into 0 39.156 * [backup-simplify]: Simplify 1 into 1 39.156 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.156 * [taylor]: Taking taylor expansion of 4 in x 39.156 * [backup-simplify]: Simplify 4 into 4 39.156 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.156 * [taylor]: Taking taylor expansion of p in x 39.156 * [backup-simplify]: Simplify p into p 39.156 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.156 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.156 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.156 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 39.156 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.156 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.156 * [backup-simplify]: Simplify (+ 0 0) into 0 39.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 39.157 * [taylor]: Taking taylor expansion of (* 2 p) in p 39.157 * [taylor]: Taking taylor expansion of 2 in p 39.157 * [backup-simplify]: Simplify 2 into 2 39.157 * [taylor]: Taking taylor expansion of p in p 39.157 * [backup-simplify]: Simplify 0 into 0 39.157 * [backup-simplify]: Simplify 1 into 1 39.157 * [backup-simplify]: Simplify (* 2 0) into 0 39.157 * [backup-simplify]: Simplify 0 into 0 39.157 * [taylor]: Taking taylor expansion of 0 in p 39.157 * [backup-simplify]: Simplify 0 into 0 39.157 * [backup-simplify]: Simplify 0 into 0 39.157 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 39.158 * [backup-simplify]: Simplify 2 into 2 39.158 * [backup-simplify]: Simplify (* 1 1) into 1 39.158 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 39.159 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 39.159 * [backup-simplify]: Simplify (+ 1 0) into 1 39.159 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 39.159 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 39.159 * [taylor]: Taking taylor expansion of 1/4 in p 39.159 * [backup-simplify]: Simplify 1/4 into 1/4 39.159 * [taylor]: Taking taylor expansion of p in p 39.159 * [backup-simplify]: Simplify 0 into 0 39.159 * [backup-simplify]: Simplify 1 into 1 39.160 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 39.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 39.160 * [backup-simplify]: Simplify 0 into 0 39.160 * [backup-simplify]: Simplify 0 into 0 39.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 39.161 * [backup-simplify]: Simplify 0 into 0 39.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.162 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 39.162 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 39.162 * [backup-simplify]: Simplify (+ 0 0) into 0 39.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 39.163 * [taylor]: Taking taylor expansion of 0 in p 39.163 * [backup-simplify]: Simplify 0 into 0 39.163 * [backup-simplify]: Simplify 0 into 0 39.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.163 * [backup-simplify]: Simplify 0 into 0 39.163 * [backup-simplify]: Simplify 0 into 0 39.163 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 39.163 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.164 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.164 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.164 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.164 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.164 * [taylor]: Taking taylor expansion of 4 in p 39.164 * [backup-simplify]: Simplify 4 into 4 39.164 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.164 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.164 * [taylor]: Taking taylor expansion of p in p 39.164 * [backup-simplify]: Simplify 0 into 0 39.164 * [backup-simplify]: Simplify 1 into 1 39.164 * [backup-simplify]: Simplify (* 1 1) into 1 39.164 * [backup-simplify]: Simplify (/ 1 1) into 1 39.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.164 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.164 * [taylor]: Taking taylor expansion of x in p 39.164 * [backup-simplify]: Simplify x into x 39.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.165 * [backup-simplify]: Simplify (* 4 1) into 4 39.165 * [backup-simplify]: Simplify (+ 4 0) into 4 39.165 * [backup-simplify]: Simplify (sqrt 4) into 2 39.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.166 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.167 * [backup-simplify]: Simplify (+ 0 0) into 0 39.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.167 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.167 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.167 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.167 * [taylor]: Taking taylor expansion of 4 in x 39.167 * [backup-simplify]: Simplify 4 into 4 39.167 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.167 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.167 * [taylor]: Taking taylor expansion of p in x 39.167 * [backup-simplify]: Simplify p into p 39.167 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.167 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.167 * [taylor]: Taking taylor expansion of x in x 39.167 * [backup-simplify]: Simplify 0 into 0 39.167 * [backup-simplify]: Simplify 1 into 1 39.168 * [backup-simplify]: Simplify (* 1 1) into 1 39.168 * [backup-simplify]: Simplify (/ 1 1) into 1 39.168 * [backup-simplify]: Simplify (+ 0 1) into 1 39.168 * [backup-simplify]: Simplify (sqrt 1) into 1 39.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.169 * [backup-simplify]: Simplify (+ 0 0) into 0 39.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.170 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.170 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.170 * [taylor]: Taking taylor expansion of 4 in x 39.170 * [backup-simplify]: Simplify 4 into 4 39.170 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.170 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.170 * [taylor]: Taking taylor expansion of p in x 39.170 * [backup-simplify]: Simplify p into p 39.170 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.170 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.170 * [taylor]: Taking taylor expansion of x in x 39.170 * [backup-simplify]: Simplify 0 into 0 39.170 * [backup-simplify]: Simplify 1 into 1 39.170 * [backup-simplify]: Simplify (* 1 1) into 1 39.170 * [backup-simplify]: Simplify (/ 1 1) into 1 39.171 * [backup-simplify]: Simplify (+ 0 1) into 1 39.171 * [backup-simplify]: Simplify (sqrt 1) into 1 39.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.172 * [backup-simplify]: Simplify (+ 0 0) into 0 39.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.172 * [taylor]: Taking taylor expansion of 1 in p 39.172 * [backup-simplify]: Simplify 1 into 1 39.172 * [taylor]: Taking taylor expansion of 0 in p 39.172 * [backup-simplify]: Simplify 0 into 0 39.172 * [backup-simplify]: Simplify 1 into 1 39.173 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.174 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.174 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.175 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.175 * [taylor]: Taking taylor expansion of 2 in p 39.175 * [backup-simplify]: Simplify 2 into 2 39.175 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.175 * [taylor]: Taking taylor expansion of p in p 39.175 * [backup-simplify]: Simplify 0 into 0 39.175 * [backup-simplify]: Simplify 1 into 1 39.175 * [backup-simplify]: Simplify (* 1 1) into 1 39.175 * [backup-simplify]: Simplify (/ 2 1) into 2 39.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.176 * [backup-simplify]: Simplify 0 into 0 39.176 * [backup-simplify]: Simplify 0 into 0 39.176 * [backup-simplify]: Simplify 0 into 0 39.176 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.177 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.178 * [backup-simplify]: Simplify (+ 0 0) into 0 39.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.178 * [taylor]: Taking taylor expansion of 0 in p 39.178 * [backup-simplify]: Simplify 0 into 0 39.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.179 * [backup-simplify]: Simplify 0 into 0 39.179 * [backup-simplify]: Simplify 0 into 0 39.179 * [backup-simplify]: Simplify 0 into 0 39.179 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 39.180 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 39.180 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 39.180 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.180 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.180 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.180 * [taylor]: Taking taylor expansion of 4 in p 39.180 * [backup-simplify]: Simplify 4 into 4 39.180 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.180 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.180 * [taylor]: Taking taylor expansion of p in p 39.180 * [backup-simplify]: Simplify 0 into 0 39.180 * [backup-simplify]: Simplify 1 into 1 39.180 * [backup-simplify]: Simplify (* 1 1) into 1 39.180 * [backup-simplify]: Simplify (/ 1 1) into 1 39.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.180 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.180 * [taylor]: Taking taylor expansion of x in p 39.180 * [backup-simplify]: Simplify x into x 39.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.183 * [backup-simplify]: Simplify (* 4 1) into 4 39.184 * [backup-simplify]: Simplify (+ 4 0) into 4 39.184 * [backup-simplify]: Simplify (sqrt 4) into 2 39.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.185 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 39.186 * [backup-simplify]: Simplify (+ 0 0) into 0 39.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 39.186 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.186 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.186 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.186 * [taylor]: Taking taylor expansion of 4 in x 39.186 * [backup-simplify]: Simplify 4 into 4 39.186 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.186 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.186 * [taylor]: Taking taylor expansion of p in x 39.186 * [backup-simplify]: Simplify p into p 39.186 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.186 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.186 * [taylor]: Taking taylor expansion of x in x 39.186 * [backup-simplify]: Simplify 0 into 0 39.186 * [backup-simplify]: Simplify 1 into 1 39.187 * [backup-simplify]: Simplify (* 1 1) into 1 39.187 * [backup-simplify]: Simplify (/ 1 1) into 1 39.187 * [backup-simplify]: Simplify (+ 0 1) into 1 39.187 * [backup-simplify]: Simplify (sqrt 1) into 1 39.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.188 * [backup-simplify]: Simplify (+ 0 0) into 0 39.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.189 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.189 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.189 * [taylor]: Taking taylor expansion of 4 in x 39.189 * [backup-simplify]: Simplify 4 into 4 39.189 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.189 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.189 * [taylor]: Taking taylor expansion of p in x 39.189 * [backup-simplify]: Simplify p into p 39.189 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.189 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.189 * [taylor]: Taking taylor expansion of x in x 39.189 * [backup-simplify]: Simplify 0 into 0 39.189 * [backup-simplify]: Simplify 1 into 1 39.189 * [backup-simplify]: Simplify (* 1 1) into 1 39.190 * [backup-simplify]: Simplify (/ 1 1) into 1 39.190 * [backup-simplify]: Simplify (+ 0 1) into 1 39.190 * [backup-simplify]: Simplify (sqrt 1) into 1 39.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.191 * [backup-simplify]: Simplify (+ 0 0) into 0 39.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 39.191 * [taylor]: Taking taylor expansion of 1 in p 39.192 * [backup-simplify]: Simplify 1 into 1 39.192 * [taylor]: Taking taylor expansion of 0 in p 39.192 * [backup-simplify]: Simplify 0 into 0 39.192 * [backup-simplify]: Simplify 1 into 1 39.192 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.193 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.194 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 39.194 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 39.194 * [taylor]: Taking taylor expansion of 2 in p 39.194 * [backup-simplify]: Simplify 2 into 2 39.194 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.194 * [taylor]: Taking taylor expansion of p in p 39.194 * [backup-simplify]: Simplify 0 into 0 39.194 * [backup-simplify]: Simplify 1 into 1 39.194 * [backup-simplify]: Simplify (* 1 1) into 1 39.194 * [backup-simplify]: Simplify (/ 2 1) into 2 39.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 39.195 * [backup-simplify]: Simplify 0 into 0 39.195 * [backup-simplify]: Simplify 0 into 0 39.195 * [backup-simplify]: Simplify 0 into 0 39.195 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 39.196 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 39.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.197 * [backup-simplify]: Simplify (+ 0 0) into 0 39.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 39.198 * [taylor]: Taking taylor expansion of 0 in p 39.198 * [backup-simplify]: Simplify 0 into 0 39.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.199 * [backup-simplify]: Simplify 0 into 0 39.199 * [backup-simplify]: Simplify 0 into 0 39.199 * [backup-simplify]: Simplify 0 into 0 39.199 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 39.199 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 2) 39.199 * [backup-simplify]: Simplify (/ x (/ (+ (* x x) (* (* p 4) p)) x)) into (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) 39.199 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 39.199 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in p 39.199 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.199 * [taylor]: Taking taylor expansion of x in p 39.199 * [backup-simplify]: Simplify x into x 39.199 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 39.199 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.199 * [taylor]: Taking taylor expansion of x in p 39.199 * [backup-simplify]: Simplify x into x 39.199 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 39.199 * [taylor]: Taking taylor expansion of 4 in p 39.199 * [backup-simplify]: Simplify 4 into 4 39.199 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.199 * [taylor]: Taking taylor expansion of p in p 39.199 * [backup-simplify]: Simplify 0 into 0 39.199 * [backup-simplify]: Simplify 1 into 1 39.199 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.199 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.199 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 39.200 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 39.200 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 39.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.200 * [taylor]: Taking taylor expansion of x in x 39.200 * [backup-simplify]: Simplify 0 into 0 39.200 * [backup-simplify]: Simplify 1 into 1 39.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.200 * [taylor]: Taking taylor expansion of x in x 39.200 * [backup-simplify]: Simplify 0 into 0 39.200 * [backup-simplify]: Simplify 1 into 1 39.200 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.200 * [taylor]: Taking taylor expansion of 4 in x 39.200 * [backup-simplify]: Simplify 4 into 4 39.200 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.200 * [taylor]: Taking taylor expansion of p in x 39.200 * [backup-simplify]: Simplify p into p 39.200 * [backup-simplify]: Simplify (* 1 1) into 1 39.200 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.200 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.200 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.200 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 39.200 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4 (pow p 2)))) in x 39.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.200 * [taylor]: Taking taylor expansion of x in x 39.200 * [backup-simplify]: Simplify 0 into 0 39.200 * [backup-simplify]: Simplify 1 into 1 39.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 39.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.200 * [taylor]: Taking taylor expansion of x in x 39.200 * [backup-simplify]: Simplify 0 into 0 39.200 * [backup-simplify]: Simplify 1 into 1 39.200 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 39.200 * [taylor]: Taking taylor expansion of 4 in x 39.200 * [backup-simplify]: Simplify 4 into 4 39.200 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.200 * [taylor]: Taking taylor expansion of p in x 39.200 * [backup-simplify]: Simplify p into p 39.201 * [backup-simplify]: Simplify (* 1 1) into 1 39.201 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.201 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 39.201 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 39.201 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 39.201 * [taylor]: Taking taylor expansion of (/ 1/4 (pow p 2)) in p 39.201 * [taylor]: Taking taylor expansion of 1/4 in p 39.201 * [backup-simplify]: Simplify 1/4 into 1/4 39.201 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.201 * [taylor]: Taking taylor expansion of p in p 39.201 * [backup-simplify]: Simplify 0 into 0 39.201 * [backup-simplify]: Simplify 1 into 1 39.201 * [backup-simplify]: Simplify (* 1 1) into 1 39.202 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 39.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 39.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.204 * [backup-simplify]: Simplify 0 into 0 39.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.204 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 39.204 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 39.205 * [backup-simplify]: Simplify (+ 0 0) into 0 39.205 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 39.205 * [taylor]: Taking taylor expansion of 0 in p 39.205 * [backup-simplify]: Simplify 0 into 0 39.205 * [backup-simplify]: Simplify 0 into 0 39.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.206 * [backup-simplify]: Simplify 0 into 0 39.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.207 * [backup-simplify]: Simplify (* 1 1) into 1 39.207 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 39.208 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 39.208 * [backup-simplify]: Simplify (+ 1 0) into 1 39.208 * [backup-simplify]: Simplify (- (/ 0 (* 4 (pow p 2))) (+ (* (/ 1/4 (pow p 2)) (/ 1 (* 4 (pow p 2)))) (* 0 (/ 0 (* 4 (pow p 2)))))) into (- (* 1/16 (/ 1 (pow p 4)))) 39.208 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow p 4)))) in p 39.208 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow p 4))) in p 39.208 * [taylor]: Taking taylor expansion of 1/16 in p 39.208 * [backup-simplify]: Simplify 1/16 into 1/16 39.208 * [taylor]: Taking taylor expansion of (/ 1 (pow p 4)) in p 39.208 * [taylor]: Taking taylor expansion of (pow p 4) in p 39.208 * [taylor]: Taking taylor expansion of p in p 39.208 * [backup-simplify]: Simplify 0 into 0 39.208 * [backup-simplify]: Simplify 1 into 1 39.209 * [backup-simplify]: Simplify (* 1 1) into 1 39.209 * [backup-simplify]: Simplify (* 1 1) into 1 39.209 * [backup-simplify]: Simplify (/ 1 1) into 1 39.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.216 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.216 * [backup-simplify]: Simplify (- 0) into 0 39.216 * [backup-simplify]: Simplify 0 into 0 39.216 * [backup-simplify]: Simplify 0 into 0 39.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.217 * [backup-simplify]: Simplify 0 into 0 39.217 * [backup-simplify]: Simplify 0 into 0 39.218 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) 4) (/ 1 p))) (/ 1 x))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 39.218 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 39.218 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 39.218 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.218 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.218 * [taylor]: Taking taylor expansion of x in p 39.218 * [backup-simplify]: Simplify x into x 39.218 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.218 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.218 * [taylor]: Taking taylor expansion of 4 in p 39.218 * [backup-simplify]: Simplify 4 into 4 39.218 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.218 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.218 * [taylor]: Taking taylor expansion of p in p 39.218 * [backup-simplify]: Simplify 0 into 0 39.218 * [backup-simplify]: Simplify 1 into 1 39.218 * [backup-simplify]: Simplify (* 1 1) into 1 39.218 * [backup-simplify]: Simplify (/ 1 1) into 1 39.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.218 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.218 * [taylor]: Taking taylor expansion of x in p 39.218 * [backup-simplify]: Simplify x into x 39.218 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.219 * [backup-simplify]: Simplify (* 4 1) into 4 39.219 * [backup-simplify]: Simplify (+ 4 0) into 4 39.219 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 39.219 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 39.219 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 39.219 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.219 * [taylor]: Taking taylor expansion of x in x 39.219 * [backup-simplify]: Simplify 0 into 0 39.219 * [backup-simplify]: Simplify 1 into 1 39.219 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.219 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.219 * [taylor]: Taking taylor expansion of 4 in x 39.219 * [backup-simplify]: Simplify 4 into 4 39.219 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.219 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.219 * [taylor]: Taking taylor expansion of p in x 39.219 * [backup-simplify]: Simplify p into p 39.219 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.220 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.220 * [taylor]: Taking taylor expansion of x in x 39.220 * [backup-simplify]: Simplify 0 into 0 39.220 * [backup-simplify]: Simplify 1 into 1 39.220 * [backup-simplify]: Simplify (* 1 1) into 1 39.220 * [backup-simplify]: Simplify (/ 1 1) into 1 39.220 * [backup-simplify]: Simplify (* 1 1) into 1 39.221 * [backup-simplify]: Simplify (+ 0 1) into 1 39.221 * [backup-simplify]: Simplify (* 1 1) into 1 39.221 * [backup-simplify]: Simplify (/ 1 1) into 1 39.221 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 39.221 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.221 * [taylor]: Taking taylor expansion of x in x 39.221 * [backup-simplify]: Simplify 0 into 0 39.221 * [backup-simplify]: Simplify 1 into 1 39.221 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.221 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.221 * [taylor]: Taking taylor expansion of 4 in x 39.221 * [backup-simplify]: Simplify 4 into 4 39.221 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.221 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.221 * [taylor]: Taking taylor expansion of p in x 39.221 * [backup-simplify]: Simplify p into p 39.221 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.221 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.221 * [taylor]: Taking taylor expansion of x in x 39.221 * [backup-simplify]: Simplify 0 into 0 39.221 * [backup-simplify]: Simplify 1 into 1 39.222 * [backup-simplify]: Simplify (* 1 1) into 1 39.222 * [backup-simplify]: Simplify (/ 1 1) into 1 39.222 * [backup-simplify]: Simplify (* 1 1) into 1 39.222 * [backup-simplify]: Simplify (+ 0 1) into 1 39.223 * [backup-simplify]: Simplify (* 1 1) into 1 39.223 * [backup-simplify]: Simplify (/ 1 1) into 1 39.223 * [taylor]: Taking taylor expansion of 1 in p 39.223 * [backup-simplify]: Simplify 1 into 1 39.223 * [backup-simplify]: Simplify 0 into 0 39.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.224 * [backup-simplify]: Simplify (+ 0 0) into 0 39.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.225 * [taylor]: Taking taylor expansion of 0 in p 39.225 * [backup-simplify]: Simplify 0 into 0 39.225 * [backup-simplify]: Simplify 0 into 0 39.225 * [backup-simplify]: Simplify 0 into 0 39.225 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.226 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.227 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 39.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 39.228 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 39.228 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.228 * [taylor]: Taking taylor expansion of 4 in p 39.228 * [backup-simplify]: Simplify 4 into 4 39.228 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.228 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.228 * [taylor]: Taking taylor expansion of p in p 39.228 * [backup-simplify]: Simplify 0 into 0 39.228 * [backup-simplify]: Simplify 1 into 1 39.228 * [backup-simplify]: Simplify (* 1 1) into 1 39.228 * [backup-simplify]: Simplify (/ 1 1) into 1 39.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.233 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.234 * [backup-simplify]: Simplify (- 0) into 0 39.234 * [backup-simplify]: Simplify 0 into 0 39.234 * [backup-simplify]: Simplify 0 into 0 39.234 * [backup-simplify]: Simplify 0 into 0 39.234 * [backup-simplify]: Simplify 0 into 0 39.234 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) 4) (/ 1 (- p)))) (/ 1 (- x)))) into (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) 39.234 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in (x p) around 0 39.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 39.234 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 39.234 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.234 * [taylor]: Taking taylor expansion of x in p 39.234 * [backup-simplify]: Simplify x into x 39.234 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 39.234 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.234 * [taylor]: Taking taylor expansion of 4 in p 39.234 * [backup-simplify]: Simplify 4 into 4 39.234 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.234 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.234 * [taylor]: Taking taylor expansion of p in p 39.234 * [backup-simplify]: Simplify 0 into 0 39.234 * [backup-simplify]: Simplify 1 into 1 39.234 * [backup-simplify]: Simplify (* 1 1) into 1 39.235 * [backup-simplify]: Simplify (/ 1 1) into 1 39.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 39.235 * [taylor]: Taking taylor expansion of (pow x 2) in p 39.235 * [taylor]: Taking taylor expansion of x in p 39.235 * [backup-simplify]: Simplify x into x 39.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 39.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 39.235 * [backup-simplify]: Simplify (* 4 1) into 4 39.235 * [backup-simplify]: Simplify (+ 4 0) into 4 39.235 * [backup-simplify]: Simplify (* (pow x 2) 4) into (* 4 (pow x 2)) 39.236 * [backup-simplify]: Simplify (/ 1 (* 4 (pow x 2))) into (/ 1/4 (pow x 2)) 39.236 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 39.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.236 * [taylor]: Taking taylor expansion of x in x 39.236 * [backup-simplify]: Simplify 0 into 0 39.236 * [backup-simplify]: Simplify 1 into 1 39.236 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.236 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.236 * [taylor]: Taking taylor expansion of 4 in x 39.236 * [backup-simplify]: Simplify 4 into 4 39.236 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.236 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.236 * [taylor]: Taking taylor expansion of p in x 39.236 * [backup-simplify]: Simplify p into p 39.236 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.236 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.236 * [taylor]: Taking taylor expansion of x in x 39.236 * [backup-simplify]: Simplify 0 into 0 39.236 * [backup-simplify]: Simplify 1 into 1 39.236 * [backup-simplify]: Simplify (* 1 1) into 1 39.236 * [backup-simplify]: Simplify (/ 1 1) into 1 39.237 * [backup-simplify]: Simplify (* 1 1) into 1 39.237 * [backup-simplify]: Simplify (+ 0 1) into 1 39.237 * [backup-simplify]: Simplify (* 1 1) into 1 39.237 * [backup-simplify]: Simplify (/ 1 1) into 1 39.237 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 39.237 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 39.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.237 * [taylor]: Taking taylor expansion of x in x 39.237 * [backup-simplify]: Simplify 0 into 0 39.237 * [backup-simplify]: Simplify 1 into 1 39.237 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 39.237 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 39.238 * [taylor]: Taking taylor expansion of 4 in x 39.238 * [backup-simplify]: Simplify 4 into 4 39.238 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 39.238 * [taylor]: Taking taylor expansion of (pow p 2) in x 39.238 * [taylor]: Taking taylor expansion of p in x 39.238 * [backup-simplify]: Simplify p into p 39.238 * [backup-simplify]: Simplify (* p p) into (pow p 2) 39.238 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 39.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 39.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 39.238 * [taylor]: Taking taylor expansion of x in x 39.238 * [backup-simplify]: Simplify 0 into 0 39.238 * [backup-simplify]: Simplify 1 into 1 39.238 * [backup-simplify]: Simplify (* 1 1) into 1 39.238 * [backup-simplify]: Simplify (/ 1 1) into 1 39.238 * [backup-simplify]: Simplify (* 1 1) into 1 39.239 * [backup-simplify]: Simplify (+ 0 1) into 1 39.239 * [backup-simplify]: Simplify (* 1 1) into 1 39.239 * [backup-simplify]: Simplify (/ 1 1) into 1 39.239 * [taylor]: Taking taylor expansion of 1 in p 39.239 * [backup-simplify]: Simplify 1 into 1 39.239 * [backup-simplify]: Simplify 0 into 0 39.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.240 * [backup-simplify]: Simplify (+ 0 0) into 0 39.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.241 * [taylor]: Taking taylor expansion of 0 in p 39.241 * [backup-simplify]: Simplify 0 into 0 39.241 * [backup-simplify]: Simplify 0 into 0 39.241 * [backup-simplify]: Simplify 0 into 0 39.242 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 39.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.243 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 39.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.244 * [backup-simplify]: Simplify (+ (* 1 (* 4 (/ 1 (pow p 2)))) (+ (* 0 0) (* 0 1))) into (* 4 (/ 1 (pow p 2))) 39.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 39.244 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow p 2)))) in p 39.244 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 39.244 * [taylor]: Taking taylor expansion of 4 in p 39.244 * [backup-simplify]: Simplify 4 into 4 39.244 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 39.244 * [taylor]: Taking taylor expansion of (pow p 2) in p 39.244 * [taylor]: Taking taylor expansion of p in p 39.244 * [backup-simplify]: Simplify 0 into 0 39.244 * [backup-simplify]: Simplify 1 into 1 39.245 * [backup-simplify]: Simplify (* 1 1) into 1 39.245 * [backup-simplify]: Simplify (/ 1 1) into 1 39.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 39.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 39.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 39.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 39.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 39.250 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 39.250 * [backup-simplify]: Simplify (- 0) into 0 39.250 * [backup-simplify]: Simplify 0 into 0 39.250 * [backup-simplify]: Simplify 0 into 0 39.250 * [backup-simplify]: Simplify 0 into 0 39.250 * [backup-simplify]: Simplify 0 into 0 39.250 * * * [progress]: simplifying candidates 39.250 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 39.250 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 16 / 131 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))))))))> 39.251 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 21 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 22 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 39.251 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 32 / 131 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 39.252 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 39.252 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 47 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 48 / 131 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 39.253 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 50 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 39.253 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 39.254 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 39.255 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 108 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 39.256 * * * * [progress]: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (/ x (/ (+ (* x x) (* (* p 4) p)) x))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))))) (- (* 0.5 0.5) (* (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> 39.256 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 39.257 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 39.258 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (* (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (sqrt (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt 1) (sqrt (+ (* x x) (* (* p 4) p))) (sqrt (+ (pow (* x x) 3) (pow (* (* p 4) p) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* (* p 4) p) (* (* p 4) p)) (* (* x x) (* (* p 4) p))))) (sqrt (- (* (* x x) (* x x)) (* (* (* p 4) p) (* (* p 4) p)))) (sqrt (- (* x x) (* (* p 4) p))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (sqrt (sqrt (+ (* x x) (* (* p 4) p)))) (real->posit16 (sqrt (+ (* x x) (* (* p 4) p)))) (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* 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p)) x)) (cbrt (/ (+ (* x x) (* (* p 4) p)) x)))) (/ x (sqrt (/ (+ (* x x) (* (* p 4) p)) x))) (/ x (/ (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))) (* (cbrt x) (cbrt x)))) (/ x (/ (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))) (sqrt x))) (/ x (/ (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p)))) 1)) (/ x (/ (sqrt (+ (* x x) (* (* p 4) p))) (* (cbrt x) (cbrt x)))) (/ x (/ (sqrt (+ (* x x) (* (* p 4) p))) (sqrt x))) (/ x (/ (sqrt (+ (* x x) (* (* p 4) p))) 1)) (/ x (/ 1 (* (cbrt x) (cbrt x)))) (/ x (/ 1 (sqrt x))) (/ x (/ 1 1)) (/ x 1) (/ x (+ (* x x) (* (* p 4) p))) (/ (/ (+ (* x x) (* (* p 4) p)) x) (cbrt x)) (/ (/ (+ (* x x) (* (* p 4) p)) x) (sqrt x)) (/ (/ (+ (* x x) (* (* p 4) p)) x) x) (/ x (+ (* x x) (* (* p 4) p))) (real->posit16 (/ x (/ (+ (* x x) (* (* p 4) p)) x))) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 0 0 0 39.260 * * [simplify]: iteration 0: 178 enodes 39.299 * * [simplify]: iteration 1: 474 enodes 39.459 * * [simplify]: iteration 2: 1923 enodes 39.990 * * [simplify]: iteration complete: 5010 enodes 39.990 * * [simplify]: Extracting #0: cost 93 inf + 0 39.991 * * [simplify]: Extracting #1: cost 758 inf + 4 39.995 * * [simplify]: Extracting #2: cost 1480 inf + 5237 40.002 * * [simplify]: Extracting #3: cost 1690 inf + 17257 40.010 * * [simplify]: Extracting #4: cost 1700 inf + 22589 40.027 * * [simplify]: Extracting #5: cost 1569 inf + 57996 40.084 * * [simplify]: Extracting #6: cost 629 inf + 376771 40.174 * * [simplify]: Extracting #7: cost 45 inf + 505775 40.265 * * [simplify]: Extracting #8: cost 0 inf + 504023 40.356 * * [simplify]: Extracting #9: cost 0 inf + 503943 40.448 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* (* p 4) p)))) (exp (sqrt (+ (* x x) (* (* p 4) p)))) (* (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt (sqrt (+ (* x x) (* (* p 4) p))))) (cbrt (sqrt (+ (* x x) (* (* p 4) p)))) (* (+ (* x x) (* (* p 4) p)) (sqrt (+ (* x x) (* (* p 4) p)))) 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(sqrt x) (cbrt (+ (* x x) (* (* p 4) p))))) (/ (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))) (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (/ (sqrt x) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (/ (* (sqrt x) x) (cbrt (+ (* x x) (* (* p 4) p)))) (* (/ (* (cbrt x) (sqrt x)) (sqrt (+ (* x x) (* (* p 4) p)))) (cbrt x)) (* (cbrt x) (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p)))) (* x (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (* (sqrt x) (* (cbrt x) (cbrt x))) (/ (sqrt x) (/ (+ (* x x) (* (* p 4) p)) (cbrt x))) x (/ x (+ (* x x) (* (* p 4) p))) (sqrt x) (* (sqrt x) (/ x (+ (* x x) (* (* p 4) p)))) (sqrt x) (* (sqrt x) (/ x (+ (* x x) (* (* p 4) p)))) (/ (sqrt x) (+ (* x x) (* (* p 4) p))) (* (sqrt x) x) (/ (/ 1 (cbrt (/ (+ (* x x) (* (* p 4) p)) x))) (cbrt (/ (+ (* x x) (* (* p 4) p)) x))) (/ x (cbrt (/ (+ (* x x) (* 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p 4) p))) (/ 1 (+ (* x x) (* (* p 4) p))) (* x x) (/ x (+ (* x x) (* (* p 4) p))) (/ (+ (* x x) (* (* p 4) p)) (* x x)) (/ x (* (cbrt (/ (+ (* x x) (* (* p 4) p)) x)) (cbrt (/ (+ (* x x) (* (* p 4) p)) x)))) (/ x (sqrt (/ (+ (* x x) (* (* p 4) p)) x))) (/ (/ x (/ (cbrt (+ (* x x) (* (* p 4) p))) (cbrt x))) (/ (cbrt (+ (* x x) (* (* p 4) p))) (cbrt x))) (/ (* (sqrt x) x) (* (cbrt (+ (* x x) (* (* p 4) p))) (cbrt (+ (* x x) (* (* p 4) p))))) (/ (/ x (cbrt (+ (* x x) (* (* p 4) p)))) (cbrt (+ (* x x) (* (* p 4) p)))) (/ (* x (* (cbrt x) (cbrt x))) (sqrt (+ (* x x) (* (* p 4) p)))) (* x (/ (sqrt x) (sqrt (+ (* x x) (* (* p 4) p))))) (/ x (sqrt (+ (* x x) (* (* p 4) p)))) (* x (* (cbrt x) (cbrt x))) (* (sqrt x) x) x x (/ x (+ (* x x) (* (* p 4) p))) (/ (+ (* x x) (* (* p 4) p)) (* x (cbrt x))) (/ (/ (+ (* x x) (* (* p 4) p)) (sqrt x)) x) (/ (+ (* x x) (* (* p 4) p)) (* x x)) (/ x (+ (* x x) (* (* p 4) p))) (real->posit16 (/ (* x x) (+ (* x x) (* (* p 4) p)))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 0 0 0 40.479 * * * [progress]: adding candidates to table 41.140 * [progress]: [Phase 3 of 3] Extracting. 41.140 * * [regime]: Finding splitpoints for: (# # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #) 41.152 * * * [regime-changes]: Trying 2 branch expressions: (x p) 41.152 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #) 41.251 * * * * [regimes]: Trying to branch on p from (# # # # # # # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> # # # #real (real->posit16 (sqrt (+ (* x x) (* (* p 4) p))))))) (- 0.5 (* 0.5 (/ x (sqrt (+ (* x x) (* (* p 4) p)))))))))))> #) 41.351 * * * [regime]: Found split indices: #