76.740 * [progress]: [Phase 1 of 3] Setting up. 0.013 * * * [progress]: [1/2] Preparing points 0.137 * * * [progress]: [2/2] Setting up program. 0.150 * [progress]: [Phase 2 of 3] Improving. 0.157 * [simplify]: Simplifying: (/ (- 1.0 (cos x)) (* x x)) 0.165 * * [simplify]: iteration 0: 6 enodes 0.197 * * [simplify]: iteration 1: 13 enodes 0.214 * * [simplify]: iteration 2: 21 enodes 0.252 * * [simplify]: iteration 3: 26 enodes 0.261 * * [simplify]: iteration 4: 28 enodes 0.269 * * [simplify]: iteration complete: 28 enodes 0.269 * * [simplify]: Extracting #0: cost 1 inf + 0 0.270 * * [simplify]: Extracting #1: cost 8 inf + 0 0.270 * * [simplify]: Extracting #2: cost 13 inf + 1 0.270 * * [simplify]: Extracting #3: cost 10 inf + 104 0.270 * * [simplify]: Extracting #4: cost 2 inf + 997 0.270 * * [simplify]: Extracting #5: cost 0 inf + 1319 0.271 * [simplify]: Simplified to: (/ (- 1.0 (cos x)) (* x x)) 0.273 * * [progress]: iteration 1 / 4 0.273 * * * [progress]: picking best candidate 0.279 * * * * [pick]: Picked # 0.279 * * * [progress]: localizing error 0.310 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.753 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.824 * * * [progress]: generating series expansions 0.827 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.893 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) (* x x)) into (/ (- 1.0 (cos x)) (pow x 2)) 0.893 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 0.899 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.899 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [backup-simplify]: Simplify 1.0 into 1.0 0.900 * [taylor]: Taking taylor expansion of (cos x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.911 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.912 * [backup-simplify]: Simplify (+ 0) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.914 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.915 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.916 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [backup-simplify]: Simplify 1.0 into 1.0 0.916 * [taylor]: Taking taylor expansion of (cos x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (- 1) into -1 0.917 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 0.917 * [backup-simplify]: Simplify (+ 0) into 0 0.917 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.919 * [backup-simplify]: Simplify (- -1/2) into 1/2 0.920 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.947 * [backup-simplify]: Simplify (- 1/24) into -1/24 0.948 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.950 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 0.950 * [backup-simplify]: Simplify -1/24 into -1/24 0.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.954 * [backup-simplify]: Simplify (- 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 0.963 * [backup-simplify]: Simplify (- -1/720) into 1/720 0.963 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 0.966 * [backup-simplify]: Simplify 1/720 into 1/720 0.990 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 0.993 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 0.993 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 0.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [backup-simplify]: Simplify 1.0 into 1.0 0.993 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 0.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 0.998 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [backup-simplify]: Simplify 1.0 into 1.0 0.998 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.014 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.014 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.014 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.015 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (- 0) into 0 1.027 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.040 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 1.040 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 1.040 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.040 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [backup-simplify]: Simplify 1.0 into 1.0 1.040 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.040 * [taylor]: Taking taylor expansion of -1 in x 1.040 * [backup-simplify]: Simplify -1 into -1 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ -1 1) into -1 1.041 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.041 * [taylor]: Taking taylor expansion of 1.0 in x 1.041 * [backup-simplify]: Simplify 1.0 into 1.0 1.042 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.042 * [taylor]: Taking taylor expansion of -1 in x 1.042 * [backup-simplify]: Simplify -1 into -1 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (/ -1 1) into -1 1.042 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.043 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 1.043 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.044 * [backup-simplify]: Simplify (- 0) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.059 * [backup-simplify]: Simplify (- 0) into 0 1.060 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 1.085 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.085 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 1.085 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [backup-simplify]: Simplify 1.0 into 1.0 1.085 * [taylor]: Taking taylor expansion of (cos x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [backup-simplify]: Simplify 1.0 into 1.0 1.085 * [taylor]: Taking taylor expansion of (cos x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (- 1) into -1 1.086 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (+ 0) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.100 * [backup-simplify]: Simplify (- -1/2) into 1/2 1.100 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.100 * [backup-simplify]: Simplify 1/2 into 1/2 1.102 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 1.113 * [backup-simplify]: Simplify (- 1/24) into -1/24 1.113 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 1.113 * [backup-simplify]: Simplify -1/24 into -1/24 1.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 1.191 * [backup-simplify]: Simplify (- -1/720) into 1/720 1.191 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 1.191 * [backup-simplify]: Simplify 1/720 into 1/720 1.192 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 1.192 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.192 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [backup-simplify]: Simplify 1.0 into 1.0 1.192 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.193 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [backup-simplify]: Simplify 1.0 into 1.0 1.197 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (/ 1 1) into 1 1.198 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 1.198 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 1.198 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 1.198 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.199 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (- 0) into 0 1.201 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 1.203 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 1.203 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [backup-simplify]: Simplify 1.0 into 1.0 1.203 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.203 * [taylor]: Taking taylor expansion of -1 in x 1.203 * [backup-simplify]: Simplify -1 into -1 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ -1 1) into -1 1.203 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.203 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [backup-simplify]: Simplify 1.0 into 1.0 1.204 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [backup-simplify]: Simplify -1 into -1 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (/ -1 1) into -1 1.204 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 1.204 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 1.204 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 1.205 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 1.222 * * * [progress]: simplifying candidates 1.224 * [simplify]: Simplifying: (expm1 (/ (- 1.0 (cos x)) (* x x))) (log1p (/ (- 1.0 (cos x)) (* x x))) (- (log (- 1.0 (cos x))) (+ (log x) (log x))) (- (log (- 1.0 (cos x))) (log (* x x))) (log (/ (- 1.0 (cos x)) (* x x))) (exp (/ (- 1.0 (cos x)) (* x x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (- 1.0 (cos x)) (* x x))) (cbrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* x x))) (- (- 1.0 (cos x))) (- (* x x)) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt 1.0) (sqrt (cos x))) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (* x x)) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) x) (/ (* x x) (cbrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ (* x x) (- 1.0 (cos x))) (* (* x x) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x))))) (* (* x x) (+ 1.0 (cos x))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma 1 1.0 (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (/ (exp 1.0) (exp (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (pow 1.0 3) (pow (cos x) 3)) (+ (* 1.0 1.0) (+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 1.227 * * [simplify]: iteration 0: 116 enodes 1.566 * * [simplify]: iteration 1: 290 enodes 2.016 * * [simplify]: iteration 2: 919 enodes 6.657 * * [simplify]: iteration 3: 4026 enodes 13.033 * * [simplify]: iteration complete: 5000 enodes 13.034 * * [simplify]: Extracting #0: cost 47 inf + 0 13.040 * * [simplify]: Extracting #1: cost 610 inf + 0 13.096 * * [simplify]: Extracting #2: cost 978 inf + 19533 13.159 * * [simplify]: Extracting #3: cost 271 inf + 149492 13.355 * * [simplify]: Extracting #4: cost 1 inf + 217480 13.454 * * [simplify]: Extracting #5: cost 0 inf + 217451 13.552 * [simplify]: Simplified to: (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (- 1.0 (cos x)) (* x x)) (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (- 1.0 (cos x))) (* x (- x)) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (* (/ (cbrt (- 1.0 (cos x))) x) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ (/ 1 x) x) (/ x (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) x)) (* (* x x) (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0))) (* x (* x (+ 1.0 (cos x)))) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))) (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (- 1.0 (cos x)) (* (cos x) 0) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (fma (* (* x x) (* x x)) 1/720 (fma (* x x) -1/24 1/2)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) (fma (* (* x x) x) (* (* (* x x) x) 1/720) (* (* x x) (- 1/2 (* (* x x) 1/24)))) (- 1.0 (cos x)) (- 1.0 (cos x)) 13.598 * * * [progress]: adding candidates to table 14.309 * * [progress]: iteration 2 / 4 14.309 * * * [progress]: picking best candidate 14.376 * * * * [pick]: Picked # 14.376 * * * [progress]: localizing error 14.400 * * * [progress]: generating rewritten candidates 14.400 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 14.458 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 14.524 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 14.701 * * * [progress]: generating series expansions 14.704 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 14.710 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 14.710 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 14.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.710 * [taylor]: Taking taylor expansion of 1.0 in x 14.710 * [backup-simplify]: Simplify 1.0 into 1.0 14.710 * [taylor]: Taking taylor expansion of (cos x) in x 14.710 * [taylor]: Taking taylor expansion of x in x 14.710 * [backup-simplify]: Simplify 0 into 0 14.710 * [backup-simplify]: Simplify 1 into 1 14.710 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.710 * [taylor]: Taking taylor expansion of 1.0 in x 14.710 * [backup-simplify]: Simplify 1.0 into 1.0 14.711 * [taylor]: Taking taylor expansion of (cos x) in x 14.711 * [taylor]: Taking taylor expansion of x in x 14.711 * [backup-simplify]: Simplify 0 into 0 14.711 * [backup-simplify]: Simplify 1 into 1 14.725 * [backup-simplify]: Simplify (- 1) into -1 14.726 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 14.726 * [backup-simplify]: Simplify 0 into 0 14.727 * [backup-simplify]: Simplify (+ 0) into 0 14.727 * [backup-simplify]: Simplify (- 0) into 0 14.727 * [backup-simplify]: Simplify (+ 0 0) into 0 14.727 * [backup-simplify]: Simplify 0 into 0 14.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 14.733 * [backup-simplify]: Simplify (- -1/2) into 1/2 14.734 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.734 * [backup-simplify]: Simplify 1/2 into 1/2 14.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.743 * [backup-simplify]: Simplify (- 0) into 0 14.744 * [backup-simplify]: Simplify (+ 0 0) into 0 14.744 * [backup-simplify]: Simplify 0 into 0 14.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 14.748 * [backup-simplify]: Simplify (- 1/24) into -1/24 14.749 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 14.749 * [backup-simplify]: Simplify -1/24 into -1/24 14.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.752 * [backup-simplify]: Simplify (- 0) into 0 14.752 * [backup-simplify]: Simplify (+ 0 0) into 0 14.752 * [backup-simplify]: Simplify 0 into 0 14.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 14.765 * [backup-simplify]: Simplify (- -1/720) into 1/720 14.765 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 14.765 * [backup-simplify]: Simplify 1/720 into 1/720 14.766 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 14.766 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 14.766 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 14.766 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.766 * [taylor]: Taking taylor expansion of 1.0 in x 14.766 * [backup-simplify]: Simplify 1.0 into 1.0 14.766 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.767 * [taylor]: Taking taylor expansion of x in x 14.767 * [backup-simplify]: Simplify 0 into 0 14.767 * [backup-simplify]: Simplify 1 into 1 14.767 * [backup-simplify]: Simplify (/ 1 1) into 1 14.767 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.767 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.767 * [taylor]: Taking taylor expansion of 1.0 in x 14.767 * [backup-simplify]: Simplify 1.0 into 1.0 14.767 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.768 * [taylor]: Taking taylor expansion of x in x 14.768 * [backup-simplify]: Simplify 0 into 0 14.768 * [backup-simplify]: Simplify 1 into 1 14.768 * [backup-simplify]: Simplify (/ 1 1) into 1 14.768 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.768 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 14.769 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 14.769 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 14.769 * [backup-simplify]: Simplify (- 0) into 0 14.770 * [backup-simplify]: Simplify (+ 0 0) into 0 14.770 * [backup-simplify]: Simplify 0 into 0 14.770 * [backup-simplify]: Simplify (- 0) into 0 14.771 * [backup-simplify]: Simplify (+ 0 0) into 0 14.771 * [backup-simplify]: Simplify 0 into 0 14.771 * [backup-simplify]: Simplify (- 0) into 0 14.772 * [backup-simplify]: Simplify (+ 0 0) into 0 14.772 * [backup-simplify]: Simplify 0 into 0 14.772 * [backup-simplify]: Simplify (- 0) into 0 14.773 * [backup-simplify]: Simplify (+ 0 0) into 0 14.773 * [backup-simplify]: Simplify 0 into 0 14.781 * [backup-simplify]: Simplify (- 0) into 0 14.782 * [backup-simplify]: Simplify (+ 0 0) into 0 14.782 * [backup-simplify]: Simplify 0 into 0 14.782 * [backup-simplify]: Simplify (- 0) into 0 14.783 * [backup-simplify]: Simplify (+ 0 0) into 0 14.783 * [backup-simplify]: Simplify 0 into 0 14.783 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 14.783 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 14.783 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 14.783 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.784 * [taylor]: Taking taylor expansion of 1.0 in x 14.784 * [backup-simplify]: Simplify 1.0 into 1.0 14.784 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.784 * [taylor]: Taking taylor expansion of -1 in x 14.784 * [backup-simplify]: Simplify -1 into -1 14.784 * [taylor]: Taking taylor expansion of x in x 14.784 * [backup-simplify]: Simplify 0 into 0 14.784 * [backup-simplify]: Simplify 1 into 1 14.784 * [backup-simplify]: Simplify (/ -1 1) into -1 14.784 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.784 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.785 * [taylor]: Taking taylor expansion of 1.0 in x 14.785 * [backup-simplify]: Simplify 1.0 into 1.0 14.785 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.785 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.785 * [taylor]: Taking taylor expansion of -1 in x 14.785 * [backup-simplify]: Simplify -1 into -1 14.785 * [taylor]: Taking taylor expansion of x in x 14.785 * [backup-simplify]: Simplify 0 into 0 14.785 * [backup-simplify]: Simplify 1 into 1 14.785 * [backup-simplify]: Simplify (/ -1 1) into -1 14.785 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.786 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 14.786 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 14.786 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 14.786 * [backup-simplify]: Simplify (- 0) into 0 14.787 * [backup-simplify]: Simplify (+ 0 0) into 0 14.787 * [backup-simplify]: Simplify 0 into 0 14.787 * [backup-simplify]: Simplify (- 0) into 0 14.788 * [backup-simplify]: Simplify (+ 0 0) into 0 14.788 * [backup-simplify]: Simplify 0 into 0 14.788 * [backup-simplify]: Simplify (- 0) into 0 14.789 * [backup-simplify]: Simplify (+ 0 0) into 0 14.789 * [backup-simplify]: Simplify 0 into 0 14.789 * [backup-simplify]: Simplify (- 0) into 0 14.789 * [backup-simplify]: Simplify (+ 0 0) into 0 14.789 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify (- 0) into 0 14.790 * [backup-simplify]: Simplify (+ 0 0) into 0 14.790 * [backup-simplify]: Simplify 0 into 0 14.791 * [backup-simplify]: Simplify (- 0) into 0 14.791 * [backup-simplify]: Simplify (+ 0 0) into 0 14.791 * [backup-simplify]: Simplify 0 into 0 14.791 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 14.792 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 14.792 * [backup-simplify]: Simplify (/ (- 1.0 (cos x)) x) into (/ (- 1.0 (cos x)) x) 14.792 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in (x) around 0 14.792 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 14.792 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.792 * [taylor]: Taking taylor expansion of 1.0 in x 14.792 * [backup-simplify]: Simplify 1.0 into 1.0 14.792 * [taylor]: Taking taylor expansion of (cos x) in x 14.792 * [taylor]: Taking taylor expansion of x in x 14.792 * [backup-simplify]: Simplify 0 into 0 14.792 * [backup-simplify]: Simplify 1 into 1 14.792 * [taylor]: Taking taylor expansion of x in x 14.792 * [backup-simplify]: Simplify 0 into 0 14.792 * [backup-simplify]: Simplify 1 into 1 14.793 * [backup-simplify]: Simplify (- 1) into -1 14.794 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 14.795 * [backup-simplify]: Simplify (+ 0) into 0 14.795 * [backup-simplify]: Simplify (- 0) into 0 14.796 * [backup-simplify]: Simplify (+ 0 0) into 0 14.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 14.798 * [backup-simplify]: Simplify (- -1/2) into 1/2 14.798 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.799 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.799 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) x) in x 14.799 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.799 * [taylor]: Taking taylor expansion of 1.0 in x 14.799 * [backup-simplify]: Simplify 1.0 into 1.0 14.799 * [taylor]: Taking taylor expansion of (cos x) in x 14.799 * [taylor]: Taking taylor expansion of x in x 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify 1 into 1 14.799 * [taylor]: Taking taylor expansion of x in x 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify 1 into 1 14.800 * [backup-simplify]: Simplify (- 1) into -1 14.800 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 14.801 * [backup-simplify]: Simplify (+ 0) into 0 14.801 * [backup-simplify]: Simplify (- 0) into 0 14.801 * [backup-simplify]: Simplify (+ 0 0) into 0 14.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 14.803 * [backup-simplify]: Simplify (- -1/2) into 1/2 14.804 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.804 * [backup-simplify]: Simplify 1/2 into 1/2 14.805 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.806 * [backup-simplify]: Simplify (- 0) into 0 14.806 * [backup-simplify]: Simplify (+ 0 0) into 0 14.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.807 * [backup-simplify]: Simplify 0 into 0 14.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 14.810 * [backup-simplify]: Simplify (- 1/24) into -1/24 14.811 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 14.812 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 14.812 * [backup-simplify]: Simplify -1/24 into -1/24 14.815 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.815 * [backup-simplify]: Simplify (- 0) into 0 14.815 * [backup-simplify]: Simplify (+ 0 0) into 0 14.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 14.817 * [backup-simplify]: Simplify 0 into 0 14.822 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 14.823 * [backup-simplify]: Simplify (- -1/720) into 1/720 14.823 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 14.825 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 14.825 * [backup-simplify]: Simplify 1/720 into 1/720 14.826 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 5)) (+ (* -1/24 (pow x 3)) (* 1/2 x))) into (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) 14.826 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) into (* x (- 1.0 (cos (/ 1 x)))) 14.826 * [approximate]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in (x) around 0 14.826 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 14.826 * [taylor]: Taking taylor expansion of x in x 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 1 into 1 14.826 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.826 * [taylor]: Taking taylor expansion of 1.0 in x 14.826 * [backup-simplify]: Simplify 1.0 into 1.0 14.826 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.826 * [taylor]: Taking taylor expansion of x in x 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 1 into 1 14.827 * [backup-simplify]: Simplify (/ 1 1) into 1 14.827 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.827 * [taylor]: Taking taylor expansion of (* x (- 1.0 (cos (/ 1 x)))) in x 14.827 * [taylor]: Taking taylor expansion of x in x 14.827 * [backup-simplify]: Simplify 0 into 0 14.827 * [backup-simplify]: Simplify 1 into 1 14.827 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.827 * [taylor]: Taking taylor expansion of 1.0 in x 14.827 * [backup-simplify]: Simplify 1.0 into 1.0 14.827 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.827 * [taylor]: Taking taylor expansion of x in x 14.827 * [backup-simplify]: Simplify 0 into 0 14.827 * [backup-simplify]: Simplify 1 into 1 14.828 * [backup-simplify]: Simplify (/ 1 1) into 1 14.828 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.828 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 14.828 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 14.828 * [backup-simplify]: Simplify (* 0 (- 1.0 (cos (/ 1 x)))) into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.829 * [backup-simplify]: Simplify (- 0) into 0 14.829 * [backup-simplify]: Simplify (+ 0 0) into 0 14.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 14.830 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 14.830 * [backup-simplify]: Simplify (- 0) into 0 14.831 * [backup-simplify]: Simplify (+ 0 0) into 0 14.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 14.832 * [backup-simplify]: Simplify 0 into 0 14.832 * [backup-simplify]: Simplify (- 0) into 0 14.832 * [backup-simplify]: Simplify (+ 0 0) into 0 14.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 14.834 * [backup-simplify]: Simplify 0 into 0 14.834 * [backup-simplify]: Simplify (- 0) into 0 14.834 * [backup-simplify]: Simplify (+ 0 0) into 0 14.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 14.836 * [backup-simplify]: Simplify 0 into 0 14.836 * [backup-simplify]: Simplify (- 0) into 0 14.837 * [backup-simplify]: Simplify (+ 0 0) into 0 14.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 14.839 * [backup-simplify]: Simplify 0 into 0 14.839 * [backup-simplify]: Simplify (- 0) into 0 14.840 * [backup-simplify]: Simplify (+ 0 0) into 0 14.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 14.842 * [backup-simplify]: Simplify 0 into 0 14.843 * [backup-simplify]: Simplify (- 0) into 0 14.843 * [backup-simplify]: Simplify (+ 0 0) into 0 14.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))))) into 0 14.846 * [backup-simplify]: Simplify 0 into 0 14.846 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (/ 1 x)) into (/ (- 1.0 (cos x)) x) 14.846 * [backup-simplify]: Simplify (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) into (* -1 (* (- 1.0 (cos (/ -1 x))) x)) 14.846 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in (x) around 0 14.846 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 14.846 * [taylor]: Taking taylor expansion of -1 in x 14.846 * [backup-simplify]: Simplify -1 into -1 14.846 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 14.846 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.846 * [taylor]: Taking taylor expansion of 1.0 in x 14.846 * [backup-simplify]: Simplify 1.0 into 1.0 14.847 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.847 * [taylor]: Taking taylor expansion of -1 in x 14.847 * [backup-simplify]: Simplify -1 into -1 14.847 * [taylor]: Taking taylor expansion of x in x 14.847 * [backup-simplify]: Simplify 0 into 0 14.847 * [backup-simplify]: Simplify 1 into 1 14.847 * [backup-simplify]: Simplify (/ -1 1) into -1 14.847 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.847 * [taylor]: Taking taylor expansion of x in x 14.847 * [backup-simplify]: Simplify 0 into 0 14.847 * [backup-simplify]: Simplify 1 into 1 14.847 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (cos (/ -1 x))) x)) in x 14.847 * [taylor]: Taking taylor expansion of -1 in x 14.847 * [backup-simplify]: Simplify -1 into -1 14.848 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) x) in x 14.848 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.848 * [taylor]: Taking taylor expansion of 1.0 in x 14.848 * [backup-simplify]: Simplify 1.0 into 1.0 14.848 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.848 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.848 * [taylor]: Taking taylor expansion of -1 in x 14.848 * [backup-simplify]: Simplify -1 into -1 14.848 * [taylor]: Taking taylor expansion of x in x 14.848 * [backup-simplify]: Simplify 0 into 0 14.848 * [backup-simplify]: Simplify 1 into 1 14.848 * [backup-simplify]: Simplify (/ -1 1) into -1 14.848 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.848 * [taylor]: Taking taylor expansion of x in x 14.848 * [backup-simplify]: Simplify 0 into 0 14.848 * [backup-simplify]: Simplify 1 into 1 14.849 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 14.849 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 14.849 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 0) into 0 14.849 * [backup-simplify]: Simplify (* -1 0) into 0 14.849 * [backup-simplify]: Simplify 0 into 0 14.850 * [backup-simplify]: Simplify (- 0) into 0 14.850 * [backup-simplify]: Simplify (+ 0 0) into 0 14.851 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 1) (* 0 0)) into (- 1.0 (cos (/ -1 x))) 14.851 * [backup-simplify]: Simplify (+ (* -1 (- 1.0 (cos (/ -1 x)))) (* 0 0)) into (- (cos (/ -1 x)) 1.0) 14.851 * [backup-simplify]: Simplify (- (cos (/ -1 x)) 1.0) into (- (cos (/ -1 x)) 1.0) 14.852 * [backup-simplify]: Simplify (- 0) into 0 14.852 * [backup-simplify]: Simplify (+ 0 0) into 0 14.853 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 1) (* 0 0))) into 0 14.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))) into 0 14.854 * [backup-simplify]: Simplify 0 into 0 14.855 * [backup-simplify]: Simplify (- 0) into 0 14.855 * [backup-simplify]: Simplify (+ 0 0) into 0 14.856 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.857 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))) into 0 14.857 * [backup-simplify]: Simplify 0 into 0 14.858 * [backup-simplify]: Simplify (- 0) into 0 14.858 * [backup-simplify]: Simplify (+ 0 0) into 0 14.859 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.861 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))) into 0 14.861 * [backup-simplify]: Simplify 0 into 0 14.861 * [backup-simplify]: Simplify (- 0) into 0 14.862 * [backup-simplify]: Simplify (+ 0 0) into 0 14.863 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))) into 0 14.865 * [backup-simplify]: Simplify 0 into 0 14.865 * [backup-simplify]: Simplify (- 0) into 0 14.866 * [backup-simplify]: Simplify (+ 0 0) into 0 14.867 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0))))))) into 0 14.870 * [backup-simplify]: Simplify 0 into 0 14.871 * [backup-simplify]: Simplify (- 0) into 0 14.871 * [backup-simplify]: Simplify (+ 0 0) into 0 14.878 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 14.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 1.0 (cos (/ -1 x)))) (* 0 0)))))))) into 0 14.881 * [backup-simplify]: Simplify 0 into 0 14.881 * [backup-simplify]: Simplify (* (- (cos (/ -1 (/ 1 (- x)))) 1.0) (/ 1 (- x))) into (* -1 (/ (- (cos x) 1.0) x)) 14.881 * * * * [progress]: [ 3 / 3 ] generating series at (2) 14.881 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos x)) x) x) into (/ (- 1.0 (cos x)) (pow x 2)) 14.881 * [approximate]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in (x) around 0 14.881 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 14.881 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.881 * [taylor]: Taking taylor expansion of 1.0 in x 14.881 * [backup-simplify]: Simplify 1.0 into 1.0 14.882 * [taylor]: Taking taylor expansion of (cos x) in x 14.882 * [taylor]: Taking taylor expansion of x in x 14.882 * [backup-simplify]: Simplify 0 into 0 14.882 * [backup-simplify]: Simplify 1 into 1 14.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.882 * [taylor]: Taking taylor expansion of x in x 14.882 * [backup-simplify]: Simplify 0 into 0 14.882 * [backup-simplify]: Simplify 1 into 1 14.882 * [backup-simplify]: Simplify (- 1) into -1 14.882 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 14.883 * [backup-simplify]: Simplify (+ 0) into 0 14.883 * [backup-simplify]: Simplify (- 0) into 0 14.884 * [backup-simplify]: Simplify (+ 0 0) into 0 14.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 14.885 * [backup-simplify]: Simplify (- -1/2) into 1/2 14.885 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.886 * [backup-simplify]: Simplify (* 1 1) into 1 14.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.886 * [taylor]: Taking taylor expansion of (/ (- 1.0 (cos x)) (pow x 2)) in x 14.886 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 14.886 * [taylor]: Taking taylor expansion of 1.0 in x 14.886 * [backup-simplify]: Simplify 1.0 into 1.0 14.886 * [taylor]: Taking taylor expansion of (cos x) in x 14.886 * [taylor]: Taking taylor expansion of x in x 14.886 * [backup-simplify]: Simplify 0 into 0 14.886 * [backup-simplify]: Simplify 1 into 1 14.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.886 * [taylor]: Taking taylor expansion of x in x 14.886 * [backup-simplify]: Simplify 0 into 0 14.886 * [backup-simplify]: Simplify 1 into 1 14.887 * [backup-simplify]: Simplify (- 1) into -1 14.887 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 14.887 * [backup-simplify]: Simplify (+ 0) into 0 14.888 * [backup-simplify]: Simplify (- 0) into 0 14.888 * [backup-simplify]: Simplify (+ 0 0) into 0 14.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 14.889 * [backup-simplify]: Simplify (- -1/2) into 1/2 14.890 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 14.890 * [backup-simplify]: Simplify (* 1 1) into 1 14.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.890 * [backup-simplify]: Simplify 1/2 into 1/2 14.892 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.892 * [backup-simplify]: Simplify (- 0) into 0 14.892 * [backup-simplify]: Simplify (+ 0 0) into 0 14.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.894 * [backup-simplify]: Simplify 0 into 0 14.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 14.897 * [backup-simplify]: Simplify (- 1/24) into -1/24 14.897 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 14.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.899 * [backup-simplify]: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 14.899 * [backup-simplify]: Simplify -1/24 into -1/24 14.902 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.902 * [backup-simplify]: Simplify (- 0) into 0 14.902 * [backup-simplify]: Simplify (+ 0 0) into 0 14.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 14.905 * [backup-simplify]: Simplify 0 into 0 14.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 14.910 * [backup-simplify]: Simplify (- -1/720) into 1/720 14.910 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 14.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.913 * [backup-simplify]: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 14.913 * [backup-simplify]: Simplify 1/720 into 1/720 14.914 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) 14.914 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x)) into (* (pow x 2) (- 1.0 (cos (/ 1 x)))) 14.914 * [approximate]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in (x) around 0 14.914 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 14.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.914 * [taylor]: Taking taylor expansion of x in x 14.914 * [backup-simplify]: Simplify 0 into 0 14.914 * [backup-simplify]: Simplify 1 into 1 14.914 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.914 * [taylor]: Taking taylor expansion of 1.0 in x 14.914 * [backup-simplify]: Simplify 1.0 into 1.0 14.914 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.914 * [taylor]: Taking taylor expansion of x in x 14.914 * [backup-simplify]: Simplify 0 into 0 14.914 * [backup-simplify]: Simplify 1 into 1 14.915 * [backup-simplify]: Simplify (/ 1 1) into 1 14.915 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.915 * [taylor]: Taking taylor expansion of (* (pow x 2) (- 1.0 (cos (/ 1 x)))) in x 14.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.915 * [taylor]: Taking taylor expansion of x in x 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.915 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 14.915 * [taylor]: Taking taylor expansion of 1.0 in x 14.915 * [backup-simplify]: Simplify 1.0 into 1.0 14.915 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 14.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.915 * [taylor]: Taking taylor expansion of x in x 14.915 * [backup-simplify]: Simplify 0 into 0 14.915 * [backup-simplify]: Simplify 1 into 1 14.916 * [backup-simplify]: Simplify (/ 1 1) into 1 14.916 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 14.916 * [backup-simplify]: Simplify (* 1 1) into 1 14.916 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 14.916 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 14.916 * [backup-simplify]: Simplify (* 1 (- 1.0 (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 14.916 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 14.917 * [backup-simplify]: Simplify (- 0) into 0 14.917 * [backup-simplify]: Simplify (+ 0 0) into 0 14.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (- 1.0 (cos (/ 1 x))))) into 0 14.918 * [backup-simplify]: Simplify 0 into 0 14.919 * [backup-simplify]: Simplify (- 0) into 0 14.919 * [backup-simplify]: Simplify (+ 0 0) into 0 14.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))) into 0 14.921 * [backup-simplify]: Simplify 0 into 0 14.921 * [backup-simplify]: Simplify (- 0) into 0 14.922 * [backup-simplify]: Simplify (+ 0 0) into 0 14.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))) into 0 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify (- 0) into 0 14.924 * [backup-simplify]: Simplify (+ 0 0) into 0 14.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))) into 0 14.927 * [backup-simplify]: Simplify 0 into 0 14.927 * [backup-simplify]: Simplify (- 0) into 0 14.928 * [backup-simplify]: Simplify (+ 0 0) into 0 14.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x))))))))) into 0 14.931 * [backup-simplify]: Simplify 0 into 0 14.931 * [backup-simplify]: Simplify (- 0) into 0 14.932 * [backup-simplify]: Simplify (+ 0 0) into 0 14.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (cos (/ 1 x)))))))))) into 0 14.935 * [backup-simplify]: Simplify 0 into 0 14.936 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ 1 (/ 1 x)))) (pow (/ 1 x) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 14.936 * [backup-simplify]: Simplify (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x))) into (* (- 1.0 (cos (/ -1 x))) (pow x 2)) 14.936 * [approximate]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in (x) around 0 14.936 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 14.936 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.936 * [taylor]: Taking taylor expansion of 1.0 in x 14.936 * [backup-simplify]: Simplify 1.0 into 1.0 14.936 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.936 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.936 * [taylor]: Taking taylor expansion of -1 in x 14.936 * [backup-simplify]: Simplify -1 into -1 14.936 * [taylor]: Taking taylor expansion of x in x 14.936 * [backup-simplify]: Simplify 0 into 0 14.936 * [backup-simplify]: Simplify 1 into 1 14.937 * [backup-simplify]: Simplify (/ -1 1) into -1 14.937 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.937 * [taylor]: Taking taylor expansion of x in x 14.937 * [backup-simplify]: Simplify 0 into 0 14.937 * [backup-simplify]: Simplify 1 into 1 14.937 * [taylor]: Taking taylor expansion of (* (- 1.0 (cos (/ -1 x))) (pow x 2)) in x 14.937 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 14.937 * [taylor]: Taking taylor expansion of 1.0 in x 14.937 * [backup-simplify]: Simplify 1.0 into 1.0 14.937 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 14.937 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.937 * [taylor]: Taking taylor expansion of -1 in x 14.937 * [backup-simplify]: Simplify -1 into -1 14.937 * [taylor]: Taking taylor expansion of x in x 14.937 * [backup-simplify]: Simplify 0 into 0 14.937 * [backup-simplify]: Simplify 1 into 1 14.938 * [backup-simplify]: Simplify (/ -1 1) into -1 14.938 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 14.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 14.938 * [taylor]: Taking taylor expansion of x in x 14.938 * [backup-simplify]: Simplify 0 into 0 14.938 * [backup-simplify]: Simplify 1 into 1 14.938 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 14.938 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 14.939 * [backup-simplify]: Simplify (* 1 1) into 1 14.939 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 x))) 1) into (- 1.0 (cos (/ -1 x))) 14.939 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 14.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.940 * [backup-simplify]: Simplify (- 0) into 0 14.941 * [backup-simplify]: Simplify (+ 0 0) into 0 14.941 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (* 0 1)) into 0 14.941 * [backup-simplify]: Simplify 0 into 0 14.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.942 * [backup-simplify]: Simplify (- 0) into 0 14.943 * [backup-simplify]: Simplify (+ 0 0) into 0 14.944 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (* 0 1))) into 0 14.944 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.945 * [backup-simplify]: Simplify (- 0) into 0 14.945 * [backup-simplify]: Simplify (+ 0 0) into 0 14.946 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.946 * [backup-simplify]: Simplify 0 into 0 14.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.948 * [backup-simplify]: Simplify (- 0) into 0 14.949 * [backup-simplify]: Simplify (+ 0 0) into 0 14.950 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.950 * [backup-simplify]: Simplify 0 into 0 14.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.952 * [backup-simplify]: Simplify (- 0) into 0 14.952 * [backup-simplify]: Simplify (+ 0 0) into 0 14.953 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 14.954 * [backup-simplify]: Simplify 0 into 0 14.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.956 * [backup-simplify]: Simplify (- 0) into 0 14.957 * [backup-simplify]: Simplify (+ 0 0) into 0 14.958 * [backup-simplify]: Simplify (+ (* (- 1.0 (cos (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 14.958 * [backup-simplify]: Simplify 0 into 0 14.959 * [backup-simplify]: Simplify (* (- 1.0 (cos (/ -1 (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) into (/ (- 1.0 (cos x)) (pow x 2)) 14.959 * * * [progress]: simplifying candidates 15.035 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cos x)) (sqrt (cos x))))) (fma (- (sqrt (cos x))) (sqrt (cos x)) (* (sqrt (cos x)) (sqrt (cos x)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cos x) 1))) (fma (- (cos x)) 1 (* (cos x) 1)) (fma 1 1.0 (- (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x)))))) (fma (- (cbrt (cos x))) (* (cbrt (cos x)) (cbrt (cos x))) (* (cbrt (cos x)) (* (cbrt (cos x)) (cbrt (cos x))))) (fma 1 1.0 (- (* (sqrt (cos x)) (sqrt 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x)) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x)) (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (/ (- 1.0 (cos x)) x)) (- x) (/ (/ 1.0 x) x) (/ (/ (cos x) x) x) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) 1) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 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(- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (* (cbrt x) (cbrt x))) 1) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (sqrt x)) (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x)) (/ (/ 1 (sqrt x)) 1) (/ (/ (- 1.0 (cos x)) (sqrt x)) x) (/ (/ 1 1) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ (/ 1 1) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ 1 1) 1) (/ (/ (- 1.0 (cos x)) x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (cbrt x)) (/ 1 (sqrt x)) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ 1 1) (/ (/ (- 1.0 (cos x)) x) x) (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x))) (/ (/ 1 x) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (/ (- 1.0 (cos x)) 1) (/ (/ 1 x) x) (/ 1 x) (/ x (/ (- 1.0 (cos x)) x)) (/ (/ (- 1.0 (cos x)) x) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) x) (sqrt x)) (/ (/ (- 1.0 (cos x)) x) 1) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ x (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (cbrt (- 1.0 (cos x))) x)) (/ x (/ (sqrt (- 1.0 (cos x))) (cbrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) (sqrt x))) (/ x (/ (sqrt (- 1.0 (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x))) (/ x (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ (- 1.0 (cos x)) x)) (/ x (/ 1 x)) (* x x) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 x) (* 1/720 (pow x 5))) (* 1/24 (pow x 3))) (/ (- 1.0 (cos x)) x) (* -1 (/ (- (cos x) 1.0) x)) (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (pow x 2))) (/ (- 1.0 (cos x)) (pow x 2)) (/ (- 1.0 (cos x)) (pow x 2)) 15.049 * * [simplify]: iteration 0: 259 enodes 15.397 * * [simplify]: iteration 1: 604 enodes 16.414 * * [simplify]: iteration 2: 1585 enodes 19.963 * * [simplify]: iteration complete: 5001 enodes 19.964 * * [simplify]: Extracting #0: cost 136 inf + 0 19.968 * * [simplify]: Extracting #1: cost 942 inf + 1 19.980 * * [simplify]: Extracting #2: cost 1853 inf + 2533 20.074 * * [simplify]: Extracting #3: cost 1024 inf + 139196 20.178 * * [simplify]: Extracting #4: cost 212 inf + 340895 20.533 * * [simplify]: Extracting #5: cost 16 inf + 393250 20.675 * * [simplify]: Extracting #6: cost 0 inf + 396399 20.791 * * [simplify]: Extracting #7: cost 0 inf + 396319 20.902 * [simplify]: Simplified to: (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (- 1.0 (cos x)) (* (- 1.0 (cos x)) (- 1.0 (cos x)))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (* (cos x) (cos x)) (cos x))) (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0)) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ (cos x) 1.0) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (expm1 (/ (- 1.0 (cos x)) x)) (log1p (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (log (/ (- 1.0 (cos x)) x)) (exp (/ (- 1.0 (cos x)) x)) (* (/ (- 1.0 (cos x)) x) (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x))) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (cbrt (/ (- 1.0 (cos x)) x)) (* (* (/ (- 1.0 (cos x)) x) (/ (- 1.0 (cos x)) x)) (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ (- 1.0 (cos x)) x)) (- (- 1.0 (cos x))) (- x) (/ 1.0 x) (/ (cos x) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt (- 1.0 (cos x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (cbrt x)) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (sqrt x)) 1 (/ (- 1.0 (cos x)) x) (/ 1 x) (/ x (- 1.0 (cos x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (- 1.0 (cos x)) (sqrt x)) (- 1.0 (cos x)) (/ x (cbrt (- 1.0 (cos x)))) (/ x (sqrt (- 1.0 (cos x)))) (/ x (- 1.0 (cos x))) (/ x (- (sqrt 1.0) (sqrt (cos x)))) (/ x (- 1.0 (cos x))) (* x (fma (cos x) (+ (cos x) 1.0) (* 1.0 1.0))) (* x (+ (cos x) 1.0)) (expm1 (/ (/ (- 1.0 (cos x)) x) x)) (log1p (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (log (/ (/ (- 1.0 (cos x)) x) x)) (exp (/ (/ (- 1.0 (cos x)) x) x)) (* (/ (/ (- 1.0 (cos x)) x) x) (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x))) (* (/ (/ (- 1.0 (cos x)) x) x) (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x))) (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (* (/ (/ (- 1.0 (cos x)) x) x) (* (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (- (/ (- 1.0 (cos x)) x)) (- x) (/ 1.0 (* x x)) (/ (cos x) (* x x)) (* (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (* (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (/ (cbrt (/ (- 1.0 (cos x)) x)) x) (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x)) (sqrt (/ (- 1.0 (cos x)) x)) (/ (sqrt (/ (- 1.0 (cos x)) x)) x) (* (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x)))) (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x)) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x)) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (sqrt x)) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) x) (/ (cbrt (- 1.0 (cos x))) x) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x) (* (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (/ (cbrt (- 1.0 (cos x))) (cbrt x))) (/ (cbrt (- 1.0 (cos x))) (* (cbrt x) x)) (* (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* (sqrt x) x)) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (/ (cbrt (- 1.0 (cos x))) (* x x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (cbrt x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (sqrt x))) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) x) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) x)) (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (/ (sqrt (- 1.0 (cos x))) (* (sqrt x) x)) (sqrt (- 1.0 (cos x))) (/ (/ (sqrt (- 1.0 (cos x))) x) x) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (sqrt x) (* (cbrt x) (cbrt x)))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) x) (/ (- (sqrt 1.0) (sqrt (cos x))) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (cbrt x))) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x) (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x)) (+ (sqrt (cos x)) (sqrt 1.0)) (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x) (/ 1 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x))) (/ (- 1.0 (cos x)) (* (cbrt x) (sqrt x))) (/ 1 x) (/ (- 1.0 (cos x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ (- 1.0 (cos x)) (cbrt x)) x) (/ 1 (sqrt x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) 1 (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x)) (/ 1 (* (cbrt x) x)) (/ (- 1.0 (cos x)) (sqrt x)) (/ (/ 1 x) (sqrt x)) (- 1.0 (cos x)) (/ (/ 1 x) x) (/ 1 x) (/ (* x x) (- 1.0 (cos x))) (/ (- 1.0 (cos x)) (* (* (cbrt x) (cbrt x)) x)) (/ (- 1.0 (cos x)) (* (sqrt x) x)) (/ (- 1.0 (cos x)) x) (/ x (cbrt (/ (- 1.0 (cos x)) x))) (/ x (sqrt (/ (- 1.0 (cos x)) x))) (/ (* (cbrt x) x) (cbrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (cbrt (- 1.0 (cos x)))) (* (/ x (cbrt (- 1.0 (cos x)))) x) (/ (* (cbrt x) x) (sqrt (- 1.0 (cos x)))) (/ (* x (sqrt x)) (sqrt (- 1.0 (cos x)))) (/ (* x x) (sqrt (- 1.0 (cos x)))) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ (* x x) (- 1.0 (cos x))) (/ (* x (cbrt x)) (- (sqrt 1.0) (sqrt (cos x)))) (* (sqrt x) (/ x (- (sqrt 1.0) (sqrt (cos x))))) (/ (* x x) (- (sqrt 1.0) (sqrt (cos x)))) (/ x (/ (- 1.0 (cos x)) (cbrt x))) (/ x (/ (- 1.0 (cos x)) (sqrt x))) (/ (* x x) (- 1.0 (cos x))) (/ (* x x) (- 1.0 (cos x))) (* x x) (* x x) (fma (* x x) 1/2 (fma 1/720 (* (* x x) (* (* x x) (* x x))) (* -1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (pow x 5) 1/720 (* x (- 1/2 (* 1/24 (* x x))))) (/ (- 1.0 (cos x)) x) (/ (- (- (cos x) 1.0)) x) (fma (* x x) -1/24 (fma (* (* x x) (* x x)) 1/720 1/2)) (/ (/ (- 1.0 (cos x)) x) x) (/ (/ (- 1.0 (cos x)) x) x) 20.920 * * * [progress]: adding candidates to table 23.279 * * [progress]: iteration 3 / 4 23.279 * * * [progress]: picking best candidate 23.373 * * * * [pick]: Picked # 23.373 * * * [progress]: localizing error 23.428 * * * [progress]: generating rewritten candidates 23.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 23.468 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 23.539 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 23.559 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 23.621 * * * [progress]: generating series expansions 23.621 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 23.622 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos x)) x) x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 23.622 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 23.622 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 23.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 23.622 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 23.622 * [taylor]: Taking taylor expansion of 1.0 in x 23.622 * [backup-simplify]: Simplify 1.0 into 1.0 23.622 * [taylor]: Taking taylor expansion of (cos x) in x 23.622 * [taylor]: Taking taylor expansion of x in x 23.622 * [backup-simplify]: Simplify 0 into 0 23.622 * [backup-simplify]: Simplify 1 into 1 23.623 * [backup-simplify]: Simplify (- 1) into -1 23.624 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 23.624 * [backup-simplify]: Simplify (+ 0) into 0 23.625 * [backup-simplify]: Simplify (- 0) into 0 23.625 * [backup-simplify]: Simplify (+ 0 0) into 0 23.626 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 23.627 * [backup-simplify]: Simplify (- -1/2) into 1/2 23.627 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 23.628 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.629 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.629 * [backup-simplify]: Simplify (- 0) into 0 23.630 * [backup-simplify]: Simplify (+ 0 0) into 0 23.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 23.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.631 * [taylor]: Taking taylor expansion of x in x 23.631 * [backup-simplify]: Simplify 0 into 0 23.631 * [backup-simplify]: Simplify 1 into 1 23.631 * [backup-simplify]: Simplify (/ 1 1) into 1 23.631 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 23.631 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 23.631 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 23.631 * [taylor]: Taking taylor expansion of 1.0 in x 23.631 * [backup-simplify]: Simplify 1.0 into 1.0 23.631 * [taylor]: Taking taylor expansion of (cos x) in x 23.631 * [taylor]: Taking taylor expansion of x in x 23.631 * [backup-simplify]: Simplify 0 into 0 23.631 * [backup-simplify]: Simplify 1 into 1 23.632 * [backup-simplify]: Simplify (- 1) into -1 23.632 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 23.633 * [backup-simplify]: Simplify (+ 0) into 0 23.633 * [backup-simplify]: Simplify (- 0) into 0 23.634 * [backup-simplify]: Simplify (+ 0 0) into 0 23.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 23.635 * [backup-simplify]: Simplify (- -1/2) into 1/2 23.635 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 23.636 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.638 * [backup-simplify]: Simplify (- 0) into 0 23.638 * [backup-simplify]: Simplify (+ 0 0) into 0 23.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 23.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.639 * [taylor]: Taking taylor expansion of x in x 23.639 * [backup-simplify]: Simplify 0 into 0 23.639 * [backup-simplify]: Simplify 1 into 1 23.639 * [backup-simplify]: Simplify (/ 1 1) into 1 23.640 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 23.641 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.643 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 23.643 * [backup-simplify]: Simplify 0 into 0 23.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 23.648 * [backup-simplify]: Simplify (- 1/24) into -1/24 23.648 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 23.652 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 23.657 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 23.659 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 23.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.663 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.663 * [backup-simplify]: Simplify (- 0) into 0 23.664 * [backup-simplify]: Simplify (+ 0 0) into 0 23.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 23.667 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 23.667 * [backup-simplify]: Simplify 0 into 0 23.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.692 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 23.693 * [backup-simplify]: Simplify (- -1/720) into 1/720 23.693 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 23.700 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 23.726 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 23.733 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 23.742 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 23.743 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 23.743 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 23.743 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 23.743 * [taylor]: Taking taylor expansion of x in x 23.743 * [backup-simplify]: Simplify 0 into 0 23.743 * [backup-simplify]: Simplify 1 into 1 23.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 23.743 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 23.743 * [taylor]: Taking taylor expansion of 1.0 in x 23.743 * [backup-simplify]: Simplify 1.0 into 1.0 23.743 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 23.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.743 * [taylor]: Taking taylor expansion of x in x 23.743 * [backup-simplify]: Simplify 0 into 0 23.743 * [backup-simplify]: Simplify 1 into 1 23.744 * [backup-simplify]: Simplify (/ 1 1) into 1 23.744 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 23.744 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 23.744 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 23.744 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.745 * [backup-simplify]: Simplify (- 0) into 0 23.745 * [backup-simplify]: Simplify (+ 0 0) into 0 23.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.746 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 23.746 * [taylor]: Taking taylor expansion of x in x 23.746 * [backup-simplify]: Simplify 0 into 0 23.746 * [backup-simplify]: Simplify 1 into 1 23.746 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 23.746 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 23.746 * [taylor]: Taking taylor expansion of 1.0 in x 23.746 * [backup-simplify]: Simplify 1.0 into 1.0 23.746 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 23.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.746 * [taylor]: Taking taylor expansion of x in x 23.746 * [backup-simplify]: Simplify 0 into 0 23.746 * [backup-simplify]: Simplify 1 into 1 23.746 * [backup-simplify]: Simplify (/ 1 1) into 1 23.747 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 23.747 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 23.747 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 23.747 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.747 * [backup-simplify]: Simplify (- 0) into 0 23.748 * [backup-simplify]: Simplify (+ 0 0) into 0 23.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.748 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 23.748 * [backup-simplify]: Simplify 0 into 0 23.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.749 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.749 * [backup-simplify]: Simplify (- 0) into 0 23.750 * [backup-simplify]: Simplify (+ 0 0) into 0 23.751 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 23.752 * [backup-simplify]: Simplify 0 into 0 23.752 * [backup-simplify]: Simplify (- 0) into 0 23.753 * [backup-simplify]: Simplify (+ 0 0) into 0 23.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 23.756 * [backup-simplify]: Simplify 0 into 0 23.756 * [backup-simplify]: Simplify (- 0) into 0 23.757 * [backup-simplify]: Simplify (+ 0 0) into 0 23.758 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 23.760 * [backup-simplify]: Simplify 0 into 0 23.760 * [backup-simplify]: Simplify (- 0) into 0 23.760 * [backup-simplify]: Simplify (+ 0 0) into 0 23.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 23.764 * [backup-simplify]: Simplify 0 into 0 23.764 * [backup-simplify]: Simplify (- 0) into 0 23.764 * [backup-simplify]: Simplify (+ 0 0) into 0 23.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 23.768 * [backup-simplify]: Simplify 0 into 0 23.769 * [backup-simplify]: Simplify (- 0) into 0 23.769 * [backup-simplify]: Simplify (+ 0 0) into 0 23.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 23.773 * [backup-simplify]: Simplify 0 into 0 23.773 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 23.774 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x)))) into (* (sqrt (- 1.0 (cos (/ -1 x)))) x) 23.774 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in (x) around 0 23.774 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 23.774 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 23.774 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 23.774 * [taylor]: Taking taylor expansion of 1.0 in x 23.774 * [backup-simplify]: Simplify 1.0 into 1.0 23.774 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 23.774 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.774 * [taylor]: Taking taylor expansion of -1 in x 23.774 * [backup-simplify]: Simplify -1 into -1 23.774 * [taylor]: Taking taylor expansion of x in x 23.774 * [backup-simplify]: Simplify 0 into 0 23.774 * [backup-simplify]: Simplify 1 into 1 23.775 * [backup-simplify]: Simplify (/ -1 1) into -1 23.775 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 23.775 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 23.775 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 23.775 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 23.776 * [backup-simplify]: Simplify (- 0) into 0 23.776 * [backup-simplify]: Simplify (+ 0 0) into 0 23.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.777 * [taylor]: Taking taylor expansion of x in x 23.777 * [backup-simplify]: Simplify 0 into 0 23.777 * [backup-simplify]: Simplify 1 into 1 23.777 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 23.777 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 23.777 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 23.777 * [taylor]: Taking taylor expansion of 1.0 in x 23.777 * [backup-simplify]: Simplify 1.0 into 1.0 23.777 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 23.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 23.777 * [taylor]: Taking taylor expansion of -1 in x 23.777 * [backup-simplify]: Simplify -1 into -1 23.777 * [taylor]: Taking taylor expansion of x in x 23.777 * [backup-simplify]: Simplify 0 into 0 23.777 * [backup-simplify]: Simplify 1 into 1 23.777 * [backup-simplify]: Simplify (/ -1 1) into -1 23.778 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 23.778 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 23.778 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 23.778 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 23.778 * [backup-simplify]: Simplify (- 0) into 0 23.779 * [backup-simplify]: Simplify (+ 0 0) into 0 23.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.779 * [taylor]: Taking taylor expansion of x in x 23.779 * [backup-simplify]: Simplify 0 into 0 23.779 * [backup-simplify]: Simplify 1 into 1 23.779 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 23.779 * [backup-simplify]: Simplify 0 into 0 23.780 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 23.780 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 23.781 * [backup-simplify]: Simplify (- 0) into 0 23.781 * [backup-simplify]: Simplify (+ 0 0) into 0 23.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.783 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 23.783 * [backup-simplify]: Simplify 0 into 0 23.783 * [backup-simplify]: Simplify (- 0) into 0 23.784 * [backup-simplify]: Simplify (+ 0 0) into 0 23.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.785 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 23.786 * [backup-simplify]: Simplify 0 into 0 23.786 * [backup-simplify]: Simplify (- 0) into 0 23.787 * [backup-simplify]: Simplify (+ 0 0) into 0 23.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.789 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 23.790 * [backup-simplify]: Simplify 0 into 0 23.790 * [backup-simplify]: Simplify (- 0) into 0 23.790 * [backup-simplify]: Simplify (+ 0 0) into 0 23.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.793 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 23.793 * [backup-simplify]: Simplify 0 into 0 23.793 * [backup-simplify]: Simplify (- 0) into 0 23.794 * [backup-simplify]: Simplify (+ 0 0) into 0 23.795 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.796 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 23.796 * [backup-simplify]: Simplify 0 into 0 23.797 * [backup-simplify]: Simplify (- 0) into 0 23.797 * [backup-simplify]: Simplify (+ 0 0) into 0 23.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 23.800 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 23.800 * [backup-simplify]: Simplify 0 into 0 23.800 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) 23.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 23.800 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos x)) x) x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 23.800 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 23.801 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 23.801 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 23.801 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 23.801 * [taylor]: Taking taylor expansion of 1.0 in x 23.801 * [backup-simplify]: Simplify 1.0 into 1.0 23.801 * [taylor]: Taking taylor expansion of (cos x) in x 23.801 * [taylor]: Taking taylor expansion of x in x 23.801 * [backup-simplify]: Simplify 0 into 0 23.801 * [backup-simplify]: Simplify 1 into 1 23.802 * [backup-simplify]: Simplify (- 1) into -1 23.802 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 23.803 * [backup-simplify]: Simplify (+ 0) into 0 23.803 * [backup-simplify]: Simplify (- 0) into 0 23.803 * [backup-simplify]: Simplify (+ 0 0) into 0 23.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 23.805 * [backup-simplify]: Simplify (- -1/2) into 1/2 23.805 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 23.805 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.807 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.807 * [backup-simplify]: Simplify (- 0) into 0 23.807 * [backup-simplify]: Simplify (+ 0 0) into 0 23.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 23.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.808 * [taylor]: Taking taylor expansion of x in x 23.808 * [backup-simplify]: Simplify 0 into 0 23.808 * [backup-simplify]: Simplify 1 into 1 23.809 * [backup-simplify]: Simplify (/ 1 1) into 1 23.809 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 23.809 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 23.809 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 23.809 * [taylor]: Taking taylor expansion of 1.0 in x 23.809 * [backup-simplify]: Simplify 1.0 into 1.0 23.809 * [taylor]: Taking taylor expansion of (cos x) in x 23.809 * [taylor]: Taking taylor expansion of x in x 23.809 * [backup-simplify]: Simplify 0 into 0 23.809 * [backup-simplify]: Simplify 1 into 1 23.809 * [backup-simplify]: Simplify (- 1) into -1 23.810 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 23.810 * [backup-simplify]: Simplify (+ 0) into 0 23.811 * [backup-simplify]: Simplify (- 0) into 0 23.811 * [backup-simplify]: Simplify (+ 0 0) into 0 23.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 23.812 * [backup-simplify]: Simplify (- -1/2) into 1/2 23.813 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 23.813 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.815 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.815 * [backup-simplify]: Simplify (- 0) into 0 23.815 * [backup-simplify]: Simplify (+ 0 0) into 0 23.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 23.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.816 * [taylor]: Taking taylor expansion of x in x 23.816 * [backup-simplify]: Simplify 0 into 0 23.816 * [backup-simplify]: Simplify 1 into 1 23.816 * [backup-simplify]: Simplify (/ 1 1) into 1 23.817 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 23.817 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 23.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.819 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 23.819 * [backup-simplify]: Simplify 0 into 0 23.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 23.823 * [backup-simplify]: Simplify (- 1/24) into -1/24 23.823 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 23.826 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 23.830 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 23.832 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 23.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 23.840 * [backup-simplify]: Simplify (- 0) into 0 23.840 * [backup-simplify]: Simplify (+ 0 0) into 0 23.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 23.843 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 23.843 * [backup-simplify]: Simplify 0 into 0 23.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 23.907 * [backup-simplify]: Simplify (- -1/720) into 1/720 23.908 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 23.923 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 23.962 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 23.967 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 23.976 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 23.976 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 23.976 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 23.976 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 23.976 * [taylor]: Taking taylor expansion of x in x 23.976 * [backup-simplify]: Simplify 0 into 0 23.976 * [backup-simplify]: Simplify 1 into 1 23.977 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 23.977 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 23.977 * [taylor]: Taking taylor expansion of 1.0 in x 23.977 * [backup-simplify]: Simplify 1.0 into 1.0 23.977 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 23.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.977 * [taylor]: Taking taylor expansion of x in x 23.977 * [backup-simplify]: Simplify 0 into 0 23.977 * [backup-simplify]: Simplify 1 into 1 23.977 * [backup-simplify]: Simplify (/ 1 1) into 1 23.977 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 23.977 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 23.978 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 23.978 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.978 * [backup-simplify]: Simplify (- 0) into 0 23.978 * [backup-simplify]: Simplify (+ 0 0) into 0 23.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.979 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 23.979 * [taylor]: Taking taylor expansion of x in x 23.979 * [backup-simplify]: Simplify 0 into 0 23.979 * [backup-simplify]: Simplify 1 into 1 23.979 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 23.979 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 23.979 * [taylor]: Taking taylor expansion of 1.0 in x 23.979 * [backup-simplify]: Simplify 1.0 into 1.0 23.979 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 23.979 * [taylor]: Taking taylor expansion of (/ 1 x) in x 23.979 * [taylor]: Taking taylor expansion of x in x 23.979 * [backup-simplify]: Simplify 0 into 0 23.979 * [backup-simplify]: Simplify 1 into 1 23.979 * [backup-simplify]: Simplify (/ 1 1) into 1 23.980 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 23.980 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 23.980 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 23.980 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.980 * [backup-simplify]: Simplify (- 0) into 0 23.981 * [backup-simplify]: Simplify (+ 0 0) into 0 23.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.981 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 23.981 * [backup-simplify]: Simplify 0 into 0 23.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.982 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 23.982 * [backup-simplify]: Simplify (- 0) into 0 23.983 * [backup-simplify]: Simplify (+ 0 0) into 0 23.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 23.985 * [backup-simplify]: Simplify 0 into 0 23.985 * [backup-simplify]: Simplify (- 0) into 0 23.985 * [backup-simplify]: Simplify (+ 0 0) into 0 23.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 23.988 * [backup-simplify]: Simplify 0 into 0 23.988 * [backup-simplify]: Simplify (- 0) into 0 23.988 * [backup-simplify]: Simplify (+ 0 0) into 0 23.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 23.991 * [backup-simplify]: Simplify 0 into 0 23.992 * [backup-simplify]: Simplify (- 0) into 0 23.992 * [backup-simplify]: Simplify (+ 0 0) into 0 23.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 23.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 23.995 * [backup-simplify]: Simplify 0 into 0 23.996 * [backup-simplify]: Simplify (- 0) into 0 23.996 * [backup-simplify]: Simplify (+ 0 0) into 0 23.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 24.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 24.000 * [backup-simplify]: Simplify 0 into 0 24.000 * [backup-simplify]: Simplify (- 0) into 0 24.000 * [backup-simplify]: Simplify (+ 0 0) into 0 24.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 24.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 24.004 * [backup-simplify]: Simplify 0 into 0 24.005 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 24.005 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x)))) into (* (sqrt (- 1.0 (cos (/ -1 x)))) x) 24.005 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in (x) around 0 24.005 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 24.005 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 24.005 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.005 * [taylor]: Taking taylor expansion of 1.0 in x 24.005 * [backup-simplify]: Simplify 1.0 into 1.0 24.005 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.005 * [taylor]: Taking taylor expansion of -1 in x 24.005 * [backup-simplify]: Simplify -1 into -1 24.005 * [taylor]: Taking taylor expansion of x in x 24.005 * [backup-simplify]: Simplify 0 into 0 24.005 * [backup-simplify]: Simplify 1 into 1 24.006 * [backup-simplify]: Simplify (/ -1 1) into -1 24.006 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.006 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 24.006 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 24.006 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 24.007 * [backup-simplify]: Simplify (- 0) into 0 24.007 * [backup-simplify]: Simplify (+ 0 0) into 0 24.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.008 * [taylor]: Taking taylor expansion of x in x 24.008 * [backup-simplify]: Simplify 0 into 0 24.008 * [backup-simplify]: Simplify 1 into 1 24.008 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 24.008 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 24.008 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.008 * [taylor]: Taking taylor expansion of 1.0 in x 24.008 * [backup-simplify]: Simplify 1.0 into 1.0 24.008 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.008 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.008 * [taylor]: Taking taylor expansion of -1 in x 24.008 * [backup-simplify]: Simplify -1 into -1 24.008 * [taylor]: Taking taylor expansion of x in x 24.008 * [backup-simplify]: Simplify 0 into 0 24.008 * [backup-simplify]: Simplify 1 into 1 24.008 * [backup-simplify]: Simplify (/ -1 1) into -1 24.009 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.009 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 24.009 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 24.009 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 24.009 * [backup-simplify]: Simplify (- 0) into 0 24.010 * [backup-simplify]: Simplify (+ 0 0) into 0 24.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.010 * [taylor]: Taking taylor expansion of x in x 24.010 * [backup-simplify]: Simplify 0 into 0 24.010 * [backup-simplify]: Simplify 1 into 1 24.010 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 24.010 * [backup-simplify]: Simplify 0 into 0 24.011 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 24.011 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 24.012 * [backup-simplify]: Simplify (- 0) into 0 24.012 * [backup-simplify]: Simplify (+ 0 0) into 0 24.013 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.014 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 24.014 * [backup-simplify]: Simplify 0 into 0 24.014 * [backup-simplify]: Simplify (- 0) into 0 24.015 * [backup-simplify]: Simplify (+ 0 0) into 0 24.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.017 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 24.017 * [backup-simplify]: Simplify 0 into 0 24.028 * [backup-simplify]: Simplify (- 0) into 0 24.029 * [backup-simplify]: Simplify (+ 0 0) into 0 24.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.031 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 24.031 * [backup-simplify]: Simplify 0 into 0 24.032 * [backup-simplify]: Simplify (- 0) into 0 24.032 * [backup-simplify]: Simplify (+ 0 0) into 0 24.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.034 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 24.034 * [backup-simplify]: Simplify 0 into 0 24.034 * [backup-simplify]: Simplify (- 0) into 0 24.035 * [backup-simplify]: Simplify (+ 0 0) into 0 24.035 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.036 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 24.036 * [backup-simplify]: Simplify 0 into 0 24.037 * [backup-simplify]: Simplify (- 0) into 0 24.037 * [backup-simplify]: Simplify (+ 0 0) into 0 24.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 24.040 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 24.040 * [backup-simplify]: Simplify 0 into 0 24.040 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) 24.040 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 24.040 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 24.040 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 24.040 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 24.040 * [taylor]: Taking taylor expansion of 1.0 in x 24.041 * [backup-simplify]: Simplify 1.0 into 1.0 24.041 * [taylor]: Taking taylor expansion of (cos x) in x 24.041 * [taylor]: Taking taylor expansion of x in x 24.041 * [backup-simplify]: Simplify 0 into 0 24.041 * [backup-simplify]: Simplify 1 into 1 24.041 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 24.041 * [taylor]: Taking taylor expansion of 1.0 in x 24.041 * [backup-simplify]: Simplify 1.0 into 1.0 24.041 * [taylor]: Taking taylor expansion of (cos x) in x 24.041 * [taylor]: Taking taylor expansion of x in x 24.041 * [backup-simplify]: Simplify 0 into 0 24.041 * [backup-simplify]: Simplify 1 into 1 24.042 * [backup-simplify]: Simplify (- 1) into -1 24.042 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 24.042 * [backup-simplify]: Simplify 0 into 0 24.043 * [backup-simplify]: Simplify (+ 0) into 0 24.043 * [backup-simplify]: Simplify (- 0) into 0 24.044 * [backup-simplify]: Simplify (+ 0 0) into 0 24.044 * [backup-simplify]: Simplify 0 into 0 24.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 24.045 * [backup-simplify]: Simplify (- -1/2) into 1/2 24.046 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 24.046 * [backup-simplify]: Simplify 1/2 into 1/2 24.047 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.047 * [backup-simplify]: Simplify (- 0) into 0 24.048 * [backup-simplify]: Simplify (+ 0 0) into 0 24.048 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 24.052 * [backup-simplify]: Simplify (- 1/24) into -1/24 24.052 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 24.052 * [backup-simplify]: Simplify -1/24 into -1/24 24.055 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.055 * [backup-simplify]: Simplify (- 0) into 0 24.056 * [backup-simplify]: Simplify (+ 0 0) into 0 24.056 * [backup-simplify]: Simplify 0 into 0 24.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 24.061 * [backup-simplify]: Simplify (- -1/720) into 1/720 24.061 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 24.062 * [backup-simplify]: Simplify 1/720 into 1/720 24.062 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 24.062 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 24.062 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 24.063 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 24.063 * [taylor]: Taking taylor expansion of 1.0 in x 24.063 * [backup-simplify]: Simplify 1.0 into 1.0 24.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 24.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 24.063 * [taylor]: Taking taylor expansion of x in x 24.063 * [backup-simplify]: Simplify 0 into 0 24.063 * [backup-simplify]: Simplify 1 into 1 24.063 * [backup-simplify]: Simplify (/ 1 1) into 1 24.063 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 24.063 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 24.063 * [taylor]: Taking taylor expansion of 1.0 in x 24.063 * [backup-simplify]: Simplify 1.0 into 1.0 24.063 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 24.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 24.063 * [taylor]: Taking taylor expansion of x in x 24.064 * [backup-simplify]: Simplify 0 into 0 24.064 * [backup-simplify]: Simplify 1 into 1 24.064 * [backup-simplify]: Simplify (/ 1 1) into 1 24.064 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 24.064 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 24.064 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 24.064 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 24.065 * [backup-simplify]: Simplify (- 0) into 0 24.065 * [backup-simplify]: Simplify (+ 0 0) into 0 24.065 * [backup-simplify]: Simplify 0 into 0 24.066 * [backup-simplify]: Simplify (- 0) into 0 24.066 * [backup-simplify]: Simplify (+ 0 0) into 0 24.066 * [backup-simplify]: Simplify 0 into 0 24.067 * [backup-simplify]: Simplify (- 0) into 0 24.067 * [backup-simplify]: Simplify (+ 0 0) into 0 24.067 * [backup-simplify]: Simplify 0 into 0 24.067 * [backup-simplify]: Simplify (- 0) into 0 24.068 * [backup-simplify]: Simplify (+ 0 0) into 0 24.068 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify (- 0) into 0 24.069 * [backup-simplify]: Simplify (+ 0 0) into 0 24.069 * [backup-simplify]: Simplify 0 into 0 24.069 * [backup-simplify]: Simplify (- 0) into 0 24.070 * [backup-simplify]: Simplify (+ 0 0) into 0 24.070 * [backup-simplify]: Simplify 0 into 0 24.070 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 24.070 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 24.070 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 24.070 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.070 * [taylor]: Taking taylor expansion of 1.0 in x 24.070 * [backup-simplify]: Simplify 1.0 into 1.0 24.070 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.070 * [taylor]: Taking taylor expansion of -1 in x 24.070 * [backup-simplify]: Simplify -1 into -1 24.071 * [taylor]: Taking taylor expansion of x in x 24.071 * [backup-simplify]: Simplify 0 into 0 24.071 * [backup-simplify]: Simplify 1 into 1 24.071 * [backup-simplify]: Simplify (/ -1 1) into -1 24.071 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.071 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.071 * [taylor]: Taking taylor expansion of 1.0 in x 24.071 * [backup-simplify]: Simplify 1.0 into 1.0 24.071 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.071 * [taylor]: Taking taylor expansion of -1 in x 24.071 * [backup-simplify]: Simplify -1 into -1 24.071 * [taylor]: Taking taylor expansion of x in x 24.071 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 1 into 1 24.072 * [backup-simplify]: Simplify (/ -1 1) into -1 24.072 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.072 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 24.073 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 24.073 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 24.073 * [backup-simplify]: Simplify (- 0) into 0 24.073 * [backup-simplify]: Simplify (+ 0 0) into 0 24.073 * [backup-simplify]: Simplify 0 into 0 24.074 * [backup-simplify]: Simplify (- 0) into 0 24.074 * [backup-simplify]: Simplify (+ 0 0) into 0 24.074 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify (- 0) into 0 24.075 * [backup-simplify]: Simplify (+ 0 0) into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify (- 0) into 0 24.076 * [backup-simplify]: Simplify (+ 0 0) into 0 24.076 * [backup-simplify]: Simplify 0 into 0 24.076 * [backup-simplify]: Simplify (- 0) into 0 24.076 * [backup-simplify]: Simplify (+ 0 0) into 0 24.076 * [backup-simplify]: Simplify 0 into 0 24.077 * [backup-simplify]: Simplify (- 0) into 0 24.077 * [backup-simplify]: Simplify (+ 0 0) into 0 24.077 * [backup-simplify]: Simplify 0 into 0 24.077 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 24.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 24.078 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 24.078 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 24.078 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 24.078 * [taylor]: Taking taylor expansion of 1.0 in x 24.078 * [backup-simplify]: Simplify 1.0 into 1.0 24.078 * [taylor]: Taking taylor expansion of (cos x) in x 24.078 * [taylor]: Taking taylor expansion of x in x 24.078 * [backup-simplify]: Simplify 0 into 0 24.078 * [backup-simplify]: Simplify 1 into 1 24.078 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 24.078 * [taylor]: Taking taylor expansion of 1.0 in x 24.078 * [backup-simplify]: Simplify 1.0 into 1.0 24.078 * [taylor]: Taking taylor expansion of (cos x) in x 24.078 * [taylor]: Taking taylor expansion of x in x 24.078 * [backup-simplify]: Simplify 0 into 0 24.078 * [backup-simplify]: Simplify 1 into 1 24.079 * [backup-simplify]: Simplify (- 1) into -1 24.079 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 24.079 * [backup-simplify]: Simplify 0 into 0 24.080 * [backup-simplify]: Simplify (+ 0) into 0 24.080 * [backup-simplify]: Simplify (- 0) into 0 24.080 * [backup-simplify]: Simplify (+ 0 0) into 0 24.080 * [backup-simplify]: Simplify 0 into 0 24.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 24.082 * [backup-simplify]: Simplify (- -1/2) into 1/2 24.083 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 24.083 * [backup-simplify]: Simplify 1/2 into 1/2 24.084 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.085 * [backup-simplify]: Simplify (- 0) into 0 24.085 * [backup-simplify]: Simplify (+ 0 0) into 0 24.085 * [backup-simplify]: Simplify 0 into 0 24.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 24.088 * [backup-simplify]: Simplify (- 1/24) into -1/24 24.089 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 24.089 * [backup-simplify]: Simplify -1/24 into -1/24 24.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.096 * [backup-simplify]: Simplify (- 0) into 0 24.097 * [backup-simplify]: Simplify (+ 0 0) into 0 24.097 * [backup-simplify]: Simplify 0 into 0 24.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 24.103 * [backup-simplify]: Simplify (- -1/720) into 1/720 24.104 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 24.104 * [backup-simplify]: Simplify 1/720 into 1/720 24.106 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 24.109 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 24.109 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 24.109 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 24.109 * [taylor]: Taking taylor expansion of 1.0 in x 24.109 * [backup-simplify]: Simplify 1.0 into 1.0 24.109 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 24.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 24.109 * [taylor]: Taking taylor expansion of x in x 24.109 * [backup-simplify]: Simplify 0 into 0 24.110 * [backup-simplify]: Simplify 1 into 1 24.110 * [backup-simplify]: Simplify (/ 1 1) into 1 24.110 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 24.110 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 24.110 * [taylor]: Taking taylor expansion of 1.0 in x 24.110 * [backup-simplify]: Simplify 1.0 into 1.0 24.110 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 24.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 24.111 * [taylor]: Taking taylor expansion of x in x 24.111 * [backup-simplify]: Simplify 0 into 0 24.111 * [backup-simplify]: Simplify 1 into 1 24.111 * [backup-simplify]: Simplify (/ 1 1) into 1 24.111 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 24.111 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 24.112 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 24.112 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 24.112 * [backup-simplify]: Simplify (- 0) into 0 24.112 * [backup-simplify]: Simplify (+ 0 0) into 0 24.113 * [backup-simplify]: Simplify 0 into 0 24.113 * [backup-simplify]: Simplify (- 0) into 0 24.113 * [backup-simplify]: Simplify (+ 0 0) into 0 24.113 * [backup-simplify]: Simplify 0 into 0 24.114 * [backup-simplify]: Simplify (- 0) into 0 24.114 * [backup-simplify]: Simplify (+ 0 0) into 0 24.114 * [backup-simplify]: Simplify 0 into 0 24.115 * [backup-simplify]: Simplify (- 0) into 0 24.115 * [backup-simplify]: Simplify (+ 0 0) into 0 24.115 * [backup-simplify]: Simplify 0 into 0 24.115 * [backup-simplify]: Simplify (- 0) into 0 24.116 * [backup-simplify]: Simplify (+ 0 0) into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify (- 0) into 0 24.116 * [backup-simplify]: Simplify (+ 0 0) into 0 24.116 * [backup-simplify]: Simplify 0 into 0 24.117 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 24.117 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 24.117 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 24.117 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.117 * [taylor]: Taking taylor expansion of 1.0 in x 24.117 * [backup-simplify]: Simplify 1.0 into 1.0 24.117 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.117 * [taylor]: Taking taylor expansion of -1 in x 24.117 * [backup-simplify]: Simplify -1 into -1 24.117 * [taylor]: Taking taylor expansion of x in x 24.117 * [backup-simplify]: Simplify 0 into 0 24.117 * [backup-simplify]: Simplify 1 into 1 24.118 * [backup-simplify]: Simplify (/ -1 1) into -1 24.118 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.118 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 24.118 * [taylor]: Taking taylor expansion of 1.0 in x 24.118 * [backup-simplify]: Simplify 1.0 into 1.0 24.118 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 24.118 * [taylor]: Taking taylor expansion of (/ -1 x) in x 24.118 * [taylor]: Taking taylor expansion of -1 in x 24.118 * [backup-simplify]: Simplify -1 into -1 24.118 * [taylor]: Taking taylor expansion of x in x 24.118 * [backup-simplify]: Simplify 0 into 0 24.118 * [backup-simplify]: Simplify 1 into 1 24.118 * [backup-simplify]: Simplify (/ -1 1) into -1 24.118 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 24.119 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 24.119 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 24.119 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 24.119 * [backup-simplify]: Simplify (- 0) into 0 24.119 * [backup-simplify]: Simplify (+ 0 0) into 0 24.120 * [backup-simplify]: Simplify 0 into 0 24.120 * [backup-simplify]: Simplify (- 0) into 0 24.120 * [backup-simplify]: Simplify (+ 0 0) into 0 24.120 * [backup-simplify]: Simplify 0 into 0 24.121 * [backup-simplify]: Simplify (- 0) into 0 24.121 * [backup-simplify]: Simplify (+ 0 0) into 0 24.121 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify (- 0) into 0 24.122 * [backup-simplify]: Simplify (+ 0 0) into 0 24.122 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify (- 0) into 0 24.123 * [backup-simplify]: Simplify (+ 0 0) into 0 24.123 * [backup-simplify]: Simplify 0 into 0 24.123 * [backup-simplify]: Simplify (- 0) into 0 24.123 * [backup-simplify]: Simplify (+ 0 0) into 0 24.124 * [backup-simplify]: Simplify 0 into 0 24.124 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 24.124 * * * [progress]: simplifying candidates 24.131 * [simplify]: Simplifying: (expm1 (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log1p (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (exp (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x)))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (* (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x)))) (sqrt (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x))) (sqrt (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) 1)) (sqrt (/ (cbrt (/ (- 1.0 (cos x)) x)) x)) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) (cbrt x))) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x))) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x))) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) 1)) (sqrt (/ (sqrt (/ (- 1.0 (cos x)) x)) x)) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (cbrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) (sqrt x))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) (sqrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (* (cbrt x) (cbrt x))) 1)) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (cbrt x)) x)) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (cbrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (sqrt x)) 1)) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) (sqrt x)) x)) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) x) (cbrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) (sqrt x))) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) x) (sqrt x))) (sqrt (/ (/ (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) 1) 1)) (sqrt (/ (/ (cbrt (- 1.0 (cos x))) x) x)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (cbrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (* (cbrt x) (cbrt x))) 1)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (cbrt x)) x)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (cbrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) 1)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) (sqrt x)) x)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) 1) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) x) (cbrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) 1) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) x) (sqrt x))) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) 1) 1)) (sqrt (/ (/ (sqrt (- 1.0 (cos x))) x) x)) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x))) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x))) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x))) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) 1)) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) x)) (sqrt (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x))) (sqrt (/ (/ 1 (sqrt x)) (sqrt x))) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x))) (sqrt (/ (/ 1 (sqrt x)) 1)) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) x)) (sqrt (/ (/ 1 1) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- 1.0 (cos x)) x) (cbrt x))) (sqrt (/ (/ 1 1) (sqrt x))) (sqrt (/ (/ (- 1.0 (cos x)) x) (sqrt x))) (sqrt (/ (/ 1 1) 1)) (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (cbrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) (sqrt x))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) (sqrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x))) 1)) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (cbrt x)) x)) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (cbrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) (sqrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) (sqrt x)) 1)) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) (sqrt x)) x)) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (cbrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) (sqrt x))) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) (sqrt x))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt (cos x))) 1) 1)) (sqrt (/ (/ (- (sqrt 1.0) (sqrt (cos x))) x) x)) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) (cbrt x))) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) (sqrt x))) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) (sqrt x))) (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) 1)) (sqrt (/ (/ (- 1.0 (cos x)) (cbrt x)) x)) (sqrt (/ (/ 1 (sqrt x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) (cbrt x))) (sqrt (/ (/ 1 (sqrt x)) (sqrt x))) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) (sqrt x))) (sqrt (/ (/ 1 (sqrt x)) 1)) (sqrt (/ (/ (- 1.0 (cos x)) (sqrt x)) x)) (sqrt (/ (/ 1 1) (* (cbrt x) (cbrt 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(+ (* (cos x) (cos x)) (* 1.0 (cos x)))) (- (cos x)) (- (* 1.0 1.0) (* (cos x) (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) (* (sqrt (- 1.0 (cos x))) (/ 1 x)) (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (- 1.0 (cos x)) (- 1.0 (cos x)) 24.142 * * [simplify]: iteration 0: 312 enodes 24.291 * * [simplify]: iteration 1: 586 enodes 25.191 * * [simplify]: iteration 2: 1290 enodes 27.363 * * [simplify]: iteration 3: 4057 enodes 29.581 * * [simplify]: iteration complete: 5002 enodes 29.581 * * [simplify]: Extracting #0: cost 94 inf + 0 29.583 * * [simplify]: Extracting #1: cost 367 inf + 2 29.591 * * [simplify]: Extracting #2: cost 1198 inf + 2533 29.611 * * [simplify]: Extracting #3: cost 1387 inf + 35507 29.668 * * [simplify]: Extracting #4: cost 501 inf + 209143 29.791 * * [simplify]: Extracting #5: cost 37 inf + 331946 29.899 * * [simplify]: Extracting #6: cost 1 inf + 342757 30.010 * * [simplify]: Extracting #7: cost 0 inf + 343220 30.123 * [simplify]: Simplified to: (expm1 (sqrt (/ (- 1.0 (cos x)) (* x x)))) (log1p (sqrt (/ (- 1.0 (cos x)) (* x x)))) (log (sqrt (/ (- 1.0 (cos x)) (* x x)))) (exp (sqrt (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x))))) (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (* (sqrt (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (fabs (cbrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (cbrt (/ (- 1.0 (cos x)) 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x))) 1 (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) (* (cbrt x) (cbrt x)))) (sqrt (/ (/ 1 x) (cbrt x))) (sqrt (/ (- 1.0 (cos x)) (sqrt x))) (sqrt (/ (/ 1 x) (sqrt x))) (sqrt (- 1.0 (cos x))) (sqrt (/ (/ 1 x) x)) 1 (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x) 1/2 (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (expm1 (sqrt (/ (- 1.0 (cos x)) (* x x)))) (log1p (sqrt (/ (- 1.0 (cos x)) (* x x)))) (log (sqrt (/ (- 1.0 (cos x)) (* x x)))) (exp (sqrt (/ (- 1.0 (cos x)) (* x x)))) (* (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x))))) (cbrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (* (sqrt (/ (- 1.0 (cos x)) (* x x))) (/ (- 1.0 (cos x)) (* x x))) (fabs (cbrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (cbrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (fabs (/ (cbrt (/ (- 1.0 (cos x)) 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(sqrt (/ (- 1.0 (cos x)) (* (sqrt x) x))) 1 (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) x))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (* (cbrt x) (sqrt x))))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (cbrt x)))) (sqrt (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (cbrt x)) (cbrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x)))) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) (* (cbrt x) (* (cbrt x) (sqrt x))))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) (cbrt x)))) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) x)) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) x)) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* (sqrt x) x))) (sqrt (/ (/ (+ (sqrt (cos x)) (sqrt 1.0)) (cbrt x)) (cbrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* x (cbrt x)))) (sqrt (/ (+ (sqrt (cos x)) (sqrt 1.0)) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt (cos x))) (* 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1.0 (cos x)) (sqrt x))) (sqrt (/ (/ 1 x) (sqrt x))) (sqrt (- 1.0 (cos x))) (sqrt (/ (/ 1 x) x)) 1 (sqrt (/ (- 1.0 (cos x)) (* x x))) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt (/ 1 x)) (sqrt (/ (- 1.0 (cos x)) x)) (sqrt x) 1/2 (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (sqrt (sqrt (/ (- 1.0 (cos x)) (* x x)))) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (- 1.0 (cos x)) (fma (cos x) -1 (cos x)) (expm1 (- 1.0 (cos x))) (log1p (- 1.0 (cos x))) (- (cos x)) (- (cos x)) (- (cos x)) (exp (- 1.0 (cos x))) (log (- 1.0 (cos x))) (exp (- 1.0 (cos x))) (* (cbrt (- 1.0 (cos x))) (cbrt (- 1.0 (cos x)))) (cbrt (- 1.0 (cos x))) (* (* (- 1.0 (cos x)) (- 1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* 1.0 (* 1.0 1.0)) (* (cos x) (* (cos x) (cos x)))) (fma (+ 1.0 (cos x)) (cos x) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt (cos x)) (sqrt 1.0)) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (fma (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/1440 (sqrt 1/2)) (fma (/ x (/ (sqrt 1/2) x)) 1/48 (* (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/2304))) (/ (sqrt (- 1.0 (cos x))) x) (- (/ (sqrt (- 1.0 (cos x))) x)) (- (fma (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/1440 (sqrt 1/2)) (fma (/ x (/ (sqrt 1/2) x)) 1/48 (* (/ (* (* x x) (* x x)) (sqrt 1/2)) 1/2304))) (/ (sqrt (- 1.0 (cos x))) x) (- (/ (sqrt (- 1.0 (cos x))) x)) (fma (* (* (* x x) (* x x)) (* x x)) 1/720 (fma (* x x) 1/2 (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma (* (* (* x x) (* x x)) (* x x)) 1/720 (fma (* x x) 1/2 (* (* (* x x) (* x x)) -1/24))) (- 1.0 (cos x)) (- 1.0 (cos x)) 30.175 * * * [progress]: adding candidates to table 32.247 * * [progress]: iteration 4 / 4 32.248 * * * [progress]: picking best candidate 32.338 * * * * [pick]: Picked # 32.338 * * * [progress]: localizing error 32.420 * * * [progress]: generating rewritten candidates 32.420 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 32.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 32.647 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 32.675 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) 32.735 * * * [progress]: generating series expansions 32.735 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 32.736 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos x)) x) x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 32.736 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 32.736 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 32.736 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 32.736 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 32.736 * [taylor]: Taking taylor expansion of 1.0 in x 32.736 * [backup-simplify]: Simplify 1.0 into 1.0 32.736 * [taylor]: Taking taylor expansion of (cos x) in x 32.736 * [taylor]: Taking taylor expansion of x in x 32.736 * [backup-simplify]: Simplify 0 into 0 32.736 * [backup-simplify]: Simplify 1 into 1 32.737 * [backup-simplify]: Simplify (- 1) into -1 32.738 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 32.738 * [backup-simplify]: Simplify (+ 0) into 0 32.738 * [backup-simplify]: Simplify (- 0) into 0 32.739 * [backup-simplify]: Simplify (+ 0 0) into 0 32.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 32.740 * [backup-simplify]: Simplify (- -1/2) into 1/2 32.741 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 32.742 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.743 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 32.744 * [backup-simplify]: Simplify (- 0) into 0 32.744 * [backup-simplify]: Simplify (+ 0 0) into 0 32.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 32.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.745 * [taylor]: Taking taylor expansion of x in x 32.745 * [backup-simplify]: Simplify 0 into 0 32.745 * [backup-simplify]: Simplify 1 into 1 32.745 * [backup-simplify]: Simplify (/ 1 1) into 1 32.745 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 32.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 32.745 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 32.745 * [taylor]: Taking taylor expansion of 1.0 in x 32.746 * [backup-simplify]: Simplify 1.0 into 1.0 32.746 * [taylor]: Taking taylor expansion of (cos x) in x 32.746 * [taylor]: Taking taylor expansion of x in x 32.746 * [backup-simplify]: Simplify 0 into 0 32.746 * [backup-simplify]: Simplify 1 into 1 32.746 * [backup-simplify]: Simplify (- 1) into -1 32.746 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 32.747 * [backup-simplify]: Simplify (+ 0) into 0 32.747 * [backup-simplify]: Simplify (- 0) into 0 32.748 * [backup-simplify]: Simplify (+ 0 0) into 0 32.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 32.749 * [backup-simplify]: Simplify (- -1/2) into 1/2 32.749 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 32.750 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 32.752 * [backup-simplify]: Simplify (- 0) into 0 32.752 * [backup-simplify]: Simplify (+ 0 0) into 0 32.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 32.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.753 * [taylor]: Taking taylor expansion of x in x 32.753 * [backup-simplify]: Simplify 0 into 0 32.753 * [backup-simplify]: Simplify 1 into 1 32.753 * [backup-simplify]: Simplify (/ 1 1) into 1 32.754 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 32.755 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.756 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 32.756 * [backup-simplify]: Simplify 0 into 0 32.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 32.762 * [backup-simplify]: Simplify (- 1/24) into -1/24 32.762 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 32.766 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 32.779 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 32.782 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 32.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 32.786 * [backup-simplify]: Simplify (- 0) into 0 32.786 * [backup-simplify]: Simplify (+ 0 0) into 0 32.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 32.791 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 32.791 * [backup-simplify]: Simplify 0 into 0 32.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 32.798 * [backup-simplify]: Simplify (- -1/720) into 1/720 32.798 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 32.805 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 32.830 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 32.834 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 32.842 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 32.842 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 x))) (/ 1 x)) (/ 1 x))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 32.842 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 32.842 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 32.842 * [taylor]: Taking taylor expansion of x in x 32.842 * [backup-simplify]: Simplify 0 into 0 32.842 * [backup-simplify]: Simplify 1 into 1 32.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 32.842 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 32.842 * [taylor]: Taking taylor expansion of 1.0 in x 32.842 * [backup-simplify]: Simplify 1.0 into 1.0 32.842 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 32.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.842 * [taylor]: Taking taylor expansion of x in x 32.842 * [backup-simplify]: Simplify 0 into 0 32.842 * [backup-simplify]: Simplify 1 into 1 32.843 * [backup-simplify]: Simplify (/ 1 1) into 1 32.843 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 32.843 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 32.843 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 32.843 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 32.844 * [backup-simplify]: Simplify (- 0) into 0 32.844 * [backup-simplify]: Simplify (+ 0 0) into 0 32.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.844 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 32.844 * [taylor]: Taking taylor expansion of x in x 32.844 * [backup-simplify]: Simplify 0 into 0 32.844 * [backup-simplify]: Simplify 1 into 1 32.844 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 32.844 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 32.844 * [taylor]: Taking taylor expansion of 1.0 in x 32.844 * [backup-simplify]: Simplify 1.0 into 1.0 32.844 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 32.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.844 * [taylor]: Taking taylor expansion of x in x 32.844 * [backup-simplify]: Simplify 0 into 0 32.845 * [backup-simplify]: Simplify 1 into 1 32.845 * [backup-simplify]: Simplify (/ 1 1) into 1 32.845 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 32.845 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 32.845 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 32.845 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 32.846 * [backup-simplify]: Simplify (- 0) into 0 32.846 * [backup-simplify]: Simplify (+ 0 0) into 0 32.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.846 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 32.846 * [backup-simplify]: Simplify 0 into 0 32.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 32.847 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 32.848 * [backup-simplify]: Simplify (- 0) into 0 32.848 * [backup-simplify]: Simplify (+ 0 0) into 0 32.848 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 32.849 * [backup-simplify]: Simplify 0 into 0 32.849 * [backup-simplify]: Simplify (- 0) into 0 32.850 * [backup-simplify]: Simplify (+ 0 0) into 0 32.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 32.851 * [backup-simplify]: Simplify 0 into 0 32.852 * [backup-simplify]: Simplify (- 0) into 0 32.852 * [backup-simplify]: Simplify (+ 0 0) into 0 32.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 32.854 * [backup-simplify]: Simplify 0 into 0 32.854 * [backup-simplify]: Simplify (- 0) into 0 32.854 * [backup-simplify]: Simplify (+ 0 0) into 0 32.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 32.856 * [backup-simplify]: Simplify 0 into 0 32.856 * [backup-simplify]: Simplify (- 0) into 0 32.857 * [backup-simplify]: Simplify (+ 0 0) into 0 32.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 32.859 * [backup-simplify]: Simplify 0 into 0 32.860 * [backup-simplify]: Simplify (- 0) into 0 32.860 * [backup-simplify]: Simplify (+ 0 0) into 0 32.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 32.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 32.863 * [backup-simplify]: Simplify 0 into 0 32.864 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 32.864 * [backup-simplify]: Simplify (sqrt (/ (/ (- 1.0 (cos (/ 1 (- x)))) (/ 1 (- x))) (/ 1 (- x)))) into (* (sqrt (- 1.0 (cos (/ -1 x)))) x) 32.864 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in (x) around 0 32.864 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 32.864 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 32.864 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 32.864 * [taylor]: Taking taylor expansion of 1.0 in x 32.864 * [backup-simplify]: Simplify 1.0 into 1.0 32.864 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 32.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 32.864 * [taylor]: Taking taylor expansion of -1 in x 32.864 * [backup-simplify]: Simplify -1 into -1 32.864 * [taylor]: Taking taylor expansion of x in x 32.864 * [backup-simplify]: Simplify 0 into 0 32.865 * [backup-simplify]: Simplify 1 into 1 32.865 * [backup-simplify]: Simplify (/ -1 1) into -1 32.865 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 32.865 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 32.865 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 32.866 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 32.866 * [backup-simplify]: Simplify (- 0) into 0 32.866 * [backup-simplify]: Simplify (+ 0 0) into 0 32.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.867 * [taylor]: Taking taylor expansion of x in x 32.867 * [backup-simplify]: Simplify 0 into 0 32.867 * [backup-simplify]: Simplify 1 into 1 32.867 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 32.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 32.867 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 32.867 * [taylor]: Taking taylor expansion of 1.0 in x 32.867 * [backup-simplify]: Simplify 1.0 into 1.0 32.867 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 32.867 * [taylor]: Taking taylor expansion of (/ -1 x) in x 32.867 * [taylor]: Taking taylor expansion of -1 in x 32.867 * [backup-simplify]: Simplify -1 into -1 32.867 * [taylor]: Taking taylor expansion of x in x 32.867 * [backup-simplify]: Simplify 0 into 0 32.867 * [backup-simplify]: Simplify 1 into 1 32.867 * [backup-simplify]: Simplify (/ -1 1) into -1 32.868 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 32.868 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 32.868 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 32.868 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 32.868 * [backup-simplify]: Simplify (- 0) into 0 32.869 * [backup-simplify]: Simplify (+ 0 0) into 0 32.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.869 * [taylor]: Taking taylor expansion of x in x 32.869 * [backup-simplify]: Simplify 0 into 0 32.869 * [backup-simplify]: Simplify 1 into 1 32.869 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 32.869 * [backup-simplify]: Simplify 0 into 0 32.870 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 32.870 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 32.873 * [backup-simplify]: Simplify (- 0) into 0 32.874 * [backup-simplify]: Simplify (+ 0 0) into 0 32.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.876 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 32.876 * [backup-simplify]: Simplify 0 into 0 32.877 * [backup-simplify]: Simplify (- 0) into 0 32.877 * [backup-simplify]: Simplify (+ 0 0) into 0 32.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.881 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 32.882 * [backup-simplify]: Simplify 0 into 0 32.883 * [backup-simplify]: Simplify (- 0) into 0 32.883 * [backup-simplify]: Simplify (+ 0 0) into 0 32.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.886 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 32.886 * [backup-simplify]: Simplify 0 into 0 32.886 * [backup-simplify]: Simplify (- 0) into 0 32.887 * [backup-simplify]: Simplify (+ 0 0) into 0 32.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.899 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 32.899 * [backup-simplify]: Simplify 0 into 0 32.899 * [backup-simplify]: Simplify (- 0) into 0 32.900 * [backup-simplify]: Simplify (+ 0 0) into 0 32.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.903 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 32.903 * [backup-simplify]: Simplify 0 into 0 32.903 * [backup-simplify]: Simplify (- 0) into 0 32.903 * [backup-simplify]: Simplify (+ 0 0) into 0 32.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 32.906 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 32.907 * [backup-simplify]: Simplify 0 into 0 32.907 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) 32.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 32.909 * [backup-simplify]: Simplify (sqrt (/ (/ (log (exp (- 1.0 (cos x)))) x) x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 32.909 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in (x) around 0 32.909 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 32.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 32.909 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 32.909 * [taylor]: Taking taylor expansion of 1.0 in x 32.909 * [backup-simplify]: Simplify 1.0 into 1.0 32.909 * [taylor]: Taking taylor expansion of (cos x) in x 32.909 * [taylor]: Taking taylor expansion of x in x 32.909 * [backup-simplify]: Simplify 0 into 0 32.909 * [backup-simplify]: Simplify 1 into 1 32.910 * [backup-simplify]: Simplify (- 1) into -1 32.910 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 32.910 * [backup-simplify]: Simplify (+ 0) into 0 32.911 * [backup-simplify]: Simplify (- 0) into 0 32.911 * [backup-simplify]: Simplify (+ 0 0) into 0 32.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 32.913 * [backup-simplify]: Simplify (- -1/2) into 1/2 32.913 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 32.914 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.915 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 32.915 * [backup-simplify]: Simplify (- 0) into 0 32.916 * [backup-simplify]: Simplify (+ 0 0) into 0 32.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 32.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.916 * [taylor]: Taking taylor expansion of x in x 32.916 * [backup-simplify]: Simplify 0 into 0 32.916 * [backup-simplify]: Simplify 1 into 1 32.917 * [backup-simplify]: Simplify (/ 1 1) into 1 32.917 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos x))) (/ 1 x)) in x 32.917 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos x))) in x 32.917 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 32.917 * [taylor]: Taking taylor expansion of 1.0 in x 32.917 * [backup-simplify]: Simplify 1.0 into 1.0 32.917 * [taylor]: Taking taylor expansion of (cos x) in x 32.917 * [taylor]: Taking taylor expansion of x in x 32.917 * [backup-simplify]: Simplify 0 into 0 32.917 * [backup-simplify]: Simplify 1 into 1 32.918 * [backup-simplify]: Simplify (- 1) into -1 32.918 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 32.918 * [backup-simplify]: Simplify (+ 0) into 0 32.919 * [backup-simplify]: Simplify (- 0) into 0 32.919 * [backup-simplify]: Simplify (+ 0 0) into 0 32.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 32.921 * [backup-simplify]: Simplify (- -1/2) into 1/2 32.921 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 32.922 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.923 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 32.923 * [backup-simplify]: Simplify (- 0) into 0 32.924 * [backup-simplify]: Simplify (+ 0 0) into 0 32.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 32.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 32.924 * [taylor]: Taking taylor expansion of x in x 32.924 * [backup-simplify]: Simplify 0 into 0 32.924 * [backup-simplify]: Simplify 1 into 1 32.925 * [backup-simplify]: Simplify (/ 1 1) into 1 32.926 * [backup-simplify]: Simplify (* (sqrt 1/2) 1) into (sqrt 1/2) 32.926 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 32.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.928 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 1)) into 0 32.928 * [backup-simplify]: Simplify 0 into 0 32.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 32.933 * [backup-simplify]: Simplify (- 1/24) into -1/24 32.933 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 32.996 * [backup-simplify]: Simplify (/ (- -1/24 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) 33.018 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* (/ -1/48 (sqrt 1/2)) 1))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 33.020 * [backup-simplify]: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) 33.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 33.025 * [backup-simplify]: Simplify (- 0) into 0 33.026 * [backup-simplify]: Simplify (+ 0 0) into 0 33.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 33.030 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (* 0 1)))) into 0 33.030 * [backup-simplify]: Simplify 0 into 0 33.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 33.036 * [backup-simplify]: Simplify (- -1/720) into 1/720 33.036 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 33.044 * [backup-simplify]: Simplify (/ (- 1/720 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 33.069 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* (/ -1/48 (sqrt 1/2)) 0) (+ (* 0 0) (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1))))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 33.075 * [backup-simplify]: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) 33.084 * [backup-simplify]: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))) 33.085 * [backup-simplify]: Simplify (sqrt (/ (/ (log (exp (- 1.0 (cos (/ 1 x))))) (/ 1 x)) (/ 1 x))) into (* x (sqrt (- 1.0 (cos (/ 1 x))))) 33.085 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in (x) around 0 33.085 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 33.085 * [taylor]: Taking taylor expansion of x in x 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify 1 into 1 33.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 33.085 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.085 * [taylor]: Taking taylor expansion of 1.0 in x 33.085 * [backup-simplify]: Simplify 1.0 into 1.0 33.085 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.085 * [taylor]: Taking taylor expansion of x in x 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify 1 into 1 33.086 * [backup-simplify]: Simplify (/ 1 1) into 1 33.086 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.086 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 33.086 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 33.086 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 33.087 * [backup-simplify]: Simplify (- 0) into 0 33.087 * [backup-simplify]: Simplify (+ 0 0) into 0 33.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.087 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (cos (/ 1 x))))) in x 33.087 * [taylor]: Taking taylor expansion of x in x 33.087 * [backup-simplify]: Simplify 0 into 0 33.087 * [backup-simplify]: Simplify 1 into 1 33.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ 1 x)))) in x 33.087 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.087 * [taylor]: Taking taylor expansion of 1.0 in x 33.087 * [backup-simplify]: Simplify 1.0 into 1.0 33.087 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.087 * [taylor]: Taking taylor expansion of x in x 33.087 * [backup-simplify]: Simplify 0 into 0 33.087 * [backup-simplify]: Simplify 1 into 1 33.088 * [backup-simplify]: Simplify (/ 1 1) into 1 33.088 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.088 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 33.088 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 33.088 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 33.089 * [backup-simplify]: Simplify (- 0) into 0 33.089 * [backup-simplify]: Simplify (+ 0 0) into 0 33.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.089 * [backup-simplify]: Simplify (* 0 (sqrt (- 1.0 (cos (/ 1 x))))) into 0 33.089 * [backup-simplify]: Simplify 0 into 0 33.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (- 1.0 (cos (/ 1 x)))))) into (sqrt (- 1.0 (cos (/ 1 x)))) 33.090 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ 1 x)))) into (sqrt (- 1.0 (cos (/ 1 x)))) 33.091 * [backup-simplify]: Simplify (- 0) into 0 33.091 * [backup-simplify]: Simplify (+ 0 0) into 0 33.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))) into 0 33.093 * [backup-simplify]: Simplify 0 into 0 33.093 * [backup-simplify]: Simplify (- 0) into 0 33.093 * [backup-simplify]: Simplify (+ 0 0) into 0 33.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))) into 0 33.096 * [backup-simplify]: Simplify 0 into 0 33.096 * [backup-simplify]: Simplify (- 0) into 0 33.096 * [backup-simplify]: Simplify (+ 0 0) into 0 33.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))) into 0 33.099 * [backup-simplify]: Simplify 0 into 0 33.100 * [backup-simplify]: Simplify (- 0) into 0 33.100 * [backup-simplify]: Simplify (+ 0 0) into 0 33.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))) into 0 33.103 * [backup-simplify]: Simplify 0 into 0 33.103 * [backup-simplify]: Simplify (- 0) into 0 33.104 * [backup-simplify]: Simplify (+ 0 0) into 0 33.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x))))))))))) into 0 33.107 * [backup-simplify]: Simplify 0 into 0 33.107 * [backup-simplify]: Simplify (- 0) into 0 33.108 * [backup-simplify]: Simplify (+ 0 0) into 0 33.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ 1 x)))))) into 0 33.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- 1.0 (cos (/ 1 x)))))))))))) into 0 33.111 * [backup-simplify]: Simplify 0 into 0 33.112 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ 1 (/ 1 x))))) (/ 1 x)) into (* (sqrt (- 1.0 (cos x))) (/ 1 x)) 33.112 * [backup-simplify]: Simplify (sqrt (/ (/ (log (exp (- 1.0 (cos (/ 1 (- x)))))) (/ 1 (- x))) (/ 1 (- x)))) into (* (sqrt (- 1.0 (cos (/ -1 x)))) x) 33.112 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in (x) around 0 33.112 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 33.112 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 33.112 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.112 * [taylor]: Taking taylor expansion of 1.0 in x 33.112 * [backup-simplify]: Simplify 1.0 into 1.0 33.112 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.112 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.112 * [taylor]: Taking taylor expansion of -1 in x 33.112 * [backup-simplify]: Simplify -1 into -1 33.112 * [taylor]: Taking taylor expansion of x in x 33.112 * [backup-simplify]: Simplify 0 into 0 33.112 * [backup-simplify]: Simplify 1 into 1 33.113 * [backup-simplify]: Simplify (/ -1 1) into -1 33.113 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.113 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 33.113 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 33.114 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 33.114 * [backup-simplify]: Simplify (- 0) into 0 33.114 * [backup-simplify]: Simplify (+ 0 0) into 0 33.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.115 * [taylor]: Taking taylor expansion of x in x 33.115 * [backup-simplify]: Simplify 0 into 0 33.115 * [backup-simplify]: Simplify 1 into 1 33.115 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (cos (/ -1 x)))) x) in x 33.115 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (cos (/ -1 x)))) in x 33.115 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.115 * [taylor]: Taking taylor expansion of 1.0 in x 33.115 * [backup-simplify]: Simplify 1.0 into 1.0 33.115 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.115 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.115 * [taylor]: Taking taylor expansion of -1 in x 33.115 * [backup-simplify]: Simplify -1 into -1 33.115 * [taylor]: Taking taylor expansion of x in x 33.115 * [backup-simplify]: Simplify 0 into 0 33.115 * [backup-simplify]: Simplify 1 into 1 33.116 * [backup-simplify]: Simplify (/ -1 1) into -1 33.116 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.116 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 33.116 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 33.116 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 33.117 * [backup-simplify]: Simplify (- 0) into 0 33.117 * [backup-simplify]: Simplify (+ 0 0) into 0 33.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.117 * [taylor]: Taking taylor expansion of x in x 33.117 * [backup-simplify]: Simplify 0 into 0 33.117 * [backup-simplify]: Simplify 1 into 1 33.117 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) into 0 33.117 * [backup-simplify]: Simplify 0 into 0 33.118 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 1) (* 0 0)) into (sqrt (- 1.0 (cos (/ -1 x)))) 33.118 * [backup-simplify]: Simplify (sqrt (- 1.0 (cos (/ -1 x)))) into (sqrt (- 1.0 (cos (/ -1 x)))) 33.118 * [backup-simplify]: Simplify (- 0) into 0 33.119 * [backup-simplify]: Simplify (+ 0 0) into 0 33.119 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.120 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 1) (* 0 0))) into 0 33.120 * [backup-simplify]: Simplify 0 into 0 33.120 * [backup-simplify]: Simplify (- 0) into 0 33.120 * [backup-simplify]: Simplify (+ 0 0) into 0 33.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.121 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 33.121 * [backup-simplify]: Simplify 0 into 0 33.122 * [backup-simplify]: Simplify (- 0) into 0 33.122 * [backup-simplify]: Simplify (+ 0 0) into 0 33.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.123 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 33.123 * [backup-simplify]: Simplify 0 into 0 33.123 * [backup-simplify]: Simplify (- 0) into 0 33.124 * [backup-simplify]: Simplify (+ 0 0) into 0 33.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.125 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 33.125 * [backup-simplify]: Simplify 0 into 0 33.125 * [backup-simplify]: Simplify (- 0) into 0 33.125 * [backup-simplify]: Simplify (+ 0 0) into 0 33.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.127 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 33.127 * [backup-simplify]: Simplify 0 into 0 33.128 * [backup-simplify]: Simplify (- 0) into 0 33.128 * [backup-simplify]: Simplify (+ 0 0) into 0 33.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0 (cos (/ -1 x)))))) into 0 33.130 * [backup-simplify]: Simplify (+ (* (sqrt (- 1.0 (cos (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 33.131 * [backup-simplify]: Simplify 0 into 0 33.131 * [backup-simplify]: Simplify (* (sqrt (- 1.0 (cos (/ -1 (/ 1 (- x)))))) (/ 1 (- x))) into (* -1 (* (sqrt (- 1.0 (cos x))) (/ 1 x))) 33.133 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 33.133 * [backup-simplify]: Simplify (log (exp (- 1.0 (cos x)))) into (- 1.0 (cos x)) 33.133 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 33.133 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 33.133 * [taylor]: Taking taylor expansion of 1.0 in x 33.133 * [backup-simplify]: Simplify 1.0 into 1.0 33.134 * [taylor]: Taking taylor expansion of (cos x) in x 33.134 * [taylor]: Taking taylor expansion of x in x 33.134 * [backup-simplify]: Simplify 0 into 0 33.134 * [backup-simplify]: Simplify 1 into 1 33.134 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 33.134 * [taylor]: Taking taylor expansion of 1.0 in x 33.134 * [backup-simplify]: Simplify 1.0 into 1.0 33.134 * [taylor]: Taking taylor expansion of (cos x) in x 33.134 * [taylor]: Taking taylor expansion of x in x 33.134 * [backup-simplify]: Simplify 0 into 0 33.134 * [backup-simplify]: Simplify 1 into 1 33.134 * [backup-simplify]: Simplify (- 1) into -1 33.135 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 33.135 * [backup-simplify]: Simplify 0 into 0 33.135 * [backup-simplify]: Simplify (+ 0) into 0 33.136 * [backup-simplify]: Simplify (- 0) into 0 33.137 * [backup-simplify]: Simplify (+ 0 0) into 0 33.137 * [backup-simplify]: Simplify 0 into 0 33.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 33.139 * [backup-simplify]: Simplify (- -1/2) into 1/2 33.139 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 33.139 * [backup-simplify]: Simplify 1/2 into 1/2 33.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 33.141 * [backup-simplify]: Simplify (- 0) into 0 33.141 * [backup-simplify]: Simplify (+ 0 0) into 0 33.141 * [backup-simplify]: Simplify 0 into 0 33.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 33.144 * [backup-simplify]: Simplify (- 1/24) into -1/24 33.145 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 33.145 * [backup-simplify]: Simplify -1/24 into -1/24 33.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 33.147 * [backup-simplify]: Simplify (- 0) into 0 33.147 * [backup-simplify]: Simplify (+ 0 0) into 0 33.147 * [backup-simplify]: Simplify 0 into 0 33.152 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 33.152 * [backup-simplify]: Simplify (- -1/720) into 1/720 33.153 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 33.153 * [backup-simplify]: Simplify 1/720 into 1/720 33.153 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 33.153 * [backup-simplify]: Simplify (log (exp (- 1.0 (cos (/ 1 x))))) into (- 1.0 (cos (/ 1 x))) 33.153 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 33.153 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.153 * [taylor]: Taking taylor expansion of 1.0 in x 33.153 * [backup-simplify]: Simplify 1.0 into 1.0 33.153 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.153 * [taylor]: Taking taylor expansion of x in x 33.153 * [backup-simplify]: Simplify 0 into 0 33.153 * [backup-simplify]: Simplify 1 into 1 33.154 * [backup-simplify]: Simplify (/ 1 1) into 1 33.154 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.154 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.154 * [taylor]: Taking taylor expansion of 1.0 in x 33.154 * [backup-simplify]: Simplify 1.0 into 1.0 33.154 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.154 * [taylor]: Taking taylor expansion of x in x 33.154 * [backup-simplify]: Simplify 0 into 0 33.154 * [backup-simplify]: Simplify 1 into 1 33.154 * [backup-simplify]: Simplify (/ 1 1) into 1 33.154 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.154 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 33.155 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 33.155 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 33.155 * [backup-simplify]: Simplify (- 0) into 0 33.156 * [backup-simplify]: Simplify (+ 0 0) into 0 33.156 * [backup-simplify]: Simplify 0 into 0 33.156 * [backup-simplify]: Simplify (- 0) into 0 33.156 * [backup-simplify]: Simplify (+ 0 0) into 0 33.156 * [backup-simplify]: Simplify 0 into 0 33.157 * [backup-simplify]: Simplify (- 0) into 0 33.157 * [backup-simplify]: Simplify (+ 0 0) into 0 33.157 * [backup-simplify]: Simplify 0 into 0 33.157 * [backup-simplify]: Simplify (- 0) into 0 33.158 * [backup-simplify]: Simplify (+ 0 0) into 0 33.158 * [backup-simplify]: Simplify 0 into 0 33.158 * [backup-simplify]: Simplify (- 0) into 0 33.159 * [backup-simplify]: Simplify (+ 0 0) into 0 33.159 * [backup-simplify]: Simplify 0 into 0 33.159 * [backup-simplify]: Simplify (- 0) into 0 33.159 * [backup-simplify]: Simplify (+ 0 0) into 0 33.159 * [backup-simplify]: Simplify 0 into 0 33.160 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 33.160 * [backup-simplify]: Simplify (log (exp (- 1.0 (cos (/ 1 (- x)))))) into (- 1.0 (cos (/ -1 x))) 33.160 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 33.160 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.160 * [taylor]: Taking taylor expansion of 1.0 in x 33.160 * [backup-simplify]: Simplify 1.0 into 1.0 33.160 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.160 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.160 * [taylor]: Taking taylor expansion of -1 in x 33.160 * [backup-simplify]: Simplify -1 into -1 33.160 * [taylor]: Taking taylor expansion of x in x 33.160 * [backup-simplify]: Simplify 0 into 0 33.160 * [backup-simplify]: Simplify 1 into 1 33.205 * [backup-simplify]: Simplify (/ -1 1) into -1 33.206 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.206 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.206 * [taylor]: Taking taylor expansion of 1.0 in x 33.206 * [backup-simplify]: Simplify 1.0 into 1.0 33.206 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.206 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.206 * [taylor]: Taking taylor expansion of -1 in x 33.206 * [backup-simplify]: Simplify -1 into -1 33.206 * [taylor]: Taking taylor expansion of x in x 33.206 * [backup-simplify]: Simplify 0 into 0 33.206 * [backup-simplify]: Simplify 1 into 1 33.207 * [backup-simplify]: Simplify (/ -1 1) into -1 33.207 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.207 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 33.207 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 33.207 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 33.208 * [backup-simplify]: Simplify (- 0) into 0 33.208 * [backup-simplify]: Simplify (+ 0 0) into 0 33.208 * [backup-simplify]: Simplify 0 into 0 33.209 * [backup-simplify]: Simplify (- 0) into 0 33.217 * [backup-simplify]: Simplify (+ 0 0) into 0 33.217 * [backup-simplify]: Simplify 0 into 0 33.218 * [backup-simplify]: Simplify (- 0) into 0 33.218 * [backup-simplify]: Simplify (+ 0 0) into 0 33.218 * [backup-simplify]: Simplify 0 into 0 33.219 * [backup-simplify]: Simplify (- 0) into 0 33.219 * [backup-simplify]: Simplify (+ 0 0) into 0 33.219 * [backup-simplify]: Simplify 0 into 0 33.220 * [backup-simplify]: Simplify (- 0) into 0 33.220 * [backup-simplify]: Simplify (+ 0 0) into 0 33.220 * [backup-simplify]: Simplify 0 into 0 33.221 * [backup-simplify]: Simplify (- 0) into 0 33.226 * [backup-simplify]: Simplify (+ 0 0) into 0 33.226 * [backup-simplify]: Simplify 0 into 0 33.226 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 33.230 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) 33.230 * [backup-simplify]: Simplify (- 1.0 (cos x)) into (- 1.0 (cos x)) 33.230 * [approximate]: Taking taylor expansion of (- 1.0 (cos x)) in (x) around 0 33.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 33.231 * [taylor]: Taking taylor expansion of 1.0 in x 33.231 * [backup-simplify]: Simplify 1.0 into 1.0 33.231 * [taylor]: Taking taylor expansion of (cos x) in x 33.231 * [taylor]: Taking taylor expansion of x in x 33.231 * [backup-simplify]: Simplify 0 into 0 33.231 * [backup-simplify]: Simplify 1 into 1 33.231 * [taylor]: Taking taylor expansion of (- 1.0 (cos x)) in x 33.231 * [taylor]: Taking taylor expansion of 1.0 in x 33.231 * [backup-simplify]: Simplify 1.0 into 1.0 33.231 * [taylor]: Taking taylor expansion of (cos x) in x 33.231 * [taylor]: Taking taylor expansion of x in x 33.231 * [backup-simplify]: Simplify 0 into 0 33.231 * [backup-simplify]: Simplify 1 into 1 33.232 * [backup-simplify]: Simplify (- 1) into -1 33.232 * [backup-simplify]: Simplify (+ 1.0 -1) into 0 33.232 * [backup-simplify]: Simplify 0 into 0 33.233 * [backup-simplify]: Simplify (+ 0) into 0 33.234 * [backup-simplify]: Simplify (- 0) into 0 33.234 * [backup-simplify]: Simplify (+ 0 0) into 0 33.234 * [backup-simplify]: Simplify 0 into 0 33.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 33.236 * [backup-simplify]: Simplify (- -1/2) into 1/2 33.236 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 33.236 * [backup-simplify]: Simplify 1/2 into 1/2 33.237 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 33.238 * [backup-simplify]: Simplify (- 0) into 0 33.238 * [backup-simplify]: Simplify (+ 0 0) into 0 33.238 * [backup-simplify]: Simplify 0 into 0 33.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 33.242 * [backup-simplify]: Simplify (- 1/24) into -1/24 33.242 * [backup-simplify]: Simplify (+ 0 -1/24) into -1/24 33.242 * [backup-simplify]: Simplify -1/24 into -1/24 33.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 33.245 * [backup-simplify]: Simplify (- 0) into 0 33.245 * [backup-simplify]: Simplify (+ 0 0) into 0 33.245 * [backup-simplify]: Simplify 0 into 0 33.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into -1/720 33.254 * [backup-simplify]: Simplify (- -1/720) into 1/720 33.255 * [backup-simplify]: Simplify (+ 0 1/720) into 1/720 33.255 * [backup-simplify]: Simplify 1/720 into 1/720 33.256 * [backup-simplify]: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) 33.256 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 33.256 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in (x) around 0 33.256 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.256 * [taylor]: Taking taylor expansion of 1.0 in x 33.256 * [backup-simplify]: Simplify 1.0 into 1.0 33.256 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.256 * [taylor]: Taking taylor expansion of x in x 33.256 * [backup-simplify]: Simplify 0 into 0 33.256 * [backup-simplify]: Simplify 1 into 1 33.256 * [backup-simplify]: Simplify (/ 1 1) into 1 33.257 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.257 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ 1 x))) in x 33.257 * [taylor]: Taking taylor expansion of 1.0 in x 33.257 * [backup-simplify]: Simplify 1.0 into 1.0 33.257 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 33.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 33.257 * [taylor]: Taking taylor expansion of x in x 33.257 * [backup-simplify]: Simplify 0 into 0 33.257 * [backup-simplify]: Simplify 1 into 1 33.262 * [backup-simplify]: Simplify (/ 1 1) into 1 33.262 * [backup-simplify]: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) 33.262 * [backup-simplify]: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) 33.262 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ 1 x)))) into (- 1.0 (cos (/ 1 x))) 33.262 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 x))) into (- 1.0 (cos (/ 1 x))) 33.262 * [backup-simplify]: Simplify (- 0) into 0 33.262 * [backup-simplify]: Simplify (+ 0 0) into 0 33.262 * [backup-simplify]: Simplify 0 into 0 33.263 * [backup-simplify]: Simplify (- 0) into 0 33.263 * [backup-simplify]: Simplify (+ 0 0) into 0 33.263 * [backup-simplify]: Simplify 0 into 0 33.263 * [backup-simplify]: Simplify (- 0) into 0 33.263 * [backup-simplify]: Simplify (+ 0 0) into 0 33.263 * [backup-simplify]: Simplify 0 into 0 33.264 * [backup-simplify]: Simplify (- 0) into 0 33.264 * [backup-simplify]: Simplify (+ 0 0) into 0 33.264 * [backup-simplify]: Simplify 0 into 0 33.264 * [backup-simplify]: Simplify (- 0) into 0 33.264 * [backup-simplify]: Simplify (+ 0 0) into 0 33.264 * [backup-simplify]: Simplify 0 into 0 33.265 * [backup-simplify]: Simplify (- 0) into 0 33.265 * [backup-simplify]: Simplify (+ 0 0) into 0 33.265 * [backup-simplify]: Simplify 0 into 0 33.265 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (/ 1 x)))) into (- 1.0 (cos x)) 33.265 * [backup-simplify]: Simplify (- 1.0 (cos (/ 1 (- x)))) into (- 1.0 (cos (/ -1 x))) 33.265 * [approximate]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in (x) around 0 33.265 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.265 * [taylor]: Taking taylor expansion of 1.0 in x 33.265 * [backup-simplify]: Simplify 1.0 into 1.0 33.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.266 * [taylor]: Taking taylor expansion of -1 in x 33.266 * [backup-simplify]: Simplify -1 into -1 33.266 * [taylor]: Taking taylor expansion of x in x 33.266 * [backup-simplify]: Simplify 0 into 0 33.266 * [backup-simplify]: Simplify 1 into 1 33.266 * [backup-simplify]: Simplify (/ -1 1) into -1 33.266 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.266 * [taylor]: Taking taylor expansion of (- 1.0 (cos (/ -1 x))) in x 33.266 * [taylor]: Taking taylor expansion of 1.0 in x 33.266 * [backup-simplify]: Simplify 1.0 into 1.0 33.266 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 33.266 * [taylor]: Taking taylor expansion of (/ -1 x) in x 33.266 * [taylor]: Taking taylor expansion of -1 in x 33.266 * [backup-simplify]: Simplify -1 into -1 33.266 * [taylor]: Taking taylor expansion of x in x 33.266 * [backup-simplify]: Simplify 0 into 0 33.266 * [backup-simplify]: Simplify 1 into 1 33.267 * [backup-simplify]: Simplify (/ -1 1) into -1 33.267 * [backup-simplify]: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) 33.267 * [backup-simplify]: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) 33.267 * [backup-simplify]: Simplify (+ 1.0 (- (cos (/ -1 x)))) into (- 1.0 (cos (/ -1 x))) 33.267 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 x))) into (- 1.0 (cos (/ -1 x))) 33.267 * [backup-simplify]: Simplify (- 0) into 0 33.267 * [backup-simplify]: Simplify (+ 0 0) into 0 33.267 * [backup-simplify]: Simplify 0 into 0 33.268 * [backup-simplify]: Simplify (- 0) into 0 33.268 * [backup-simplify]: Simplify (+ 0 0) into 0 33.268 * [backup-simplify]: Simplify 0 into 0 33.268 * [backup-simplify]: Simplify (- 0) into 0 33.269 * [backup-simplify]: Simplify (+ 0 0) into 0 33.269 * [backup-simplify]: Simplify 0 into 0 33.269 * [backup-simplify]: Simplify (- 0) into 0 33.270 * [backup-simplify]: Simplify (+ 0 0) into 0 33.270 * [backup-simplify]: Simplify 0 into 0 33.270 * [backup-simplify]: Simplify (- 0) into 0 33.270 * [backup-simplify]: Simplify (+ 0 0) into 0 33.270 * [backup-simplify]: Simplify 0 into 0 33.271 * [backup-simplify]: Simplify (- 0) into 0 33.271 * [backup-simplify]: Simplify (+ 0 0) into 0 33.271 * [backup-simplify]: Simplify 0 into 0 33.271 * [backup-simplify]: Simplify (- 1.0 (cos (/ -1 (/ 1 (- x))))) into (- 1.0 (cos x)) 33.271 * * * [progress]: simplifying candidates 33.280 * [simplify]: Simplifying: (expm1 (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log1p (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (exp (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x)))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (* (sqrt (/ (/ (- 1.0 (cos x)) x) x)) (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (* (cbrt (/ (/ (- 1.0 (cos x)) x) x)) (cbrt (/ (/ (- 1.0 (cos x)) x) x)))) (sqrt (cbrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (* (cbrt x) (cbrt x)))) (sqrt (/ (cbrt (/ (- 1.0 (cos x)) x)) (cbrt x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) x)) (cbrt (/ (- 1.0 (cos x)) x))) (sqrt x))) (sqrt (/ (cbrt (/ (- 1.0 (cos x)) x)) (sqrt x))) (sqrt (/ (* (cbrt (/ (- 1.0 (cos x)) 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x)) 33.299 * * [simplify]: iteration 0: 646 enodes 33.941 * * [simplify]: iteration 1: 1028 enodes 34.588 * * [simplify]: iteration 2: 2073 enodes 36.322 * * [simplify]: iteration complete: 5003 enodes 36.323 * * [simplify]: Extracting #0: cost 127 inf + 0 36.332 * * [simplify]: Extracting #1: cost 388 inf + 4 36.338 * * [simplify]: Extracting #2: cost 1103 inf + 2053 36.356 * * [simplify]: Extracting #3: cost 1376 inf + 43474 36.413 * * [simplify]: Extracting #4: cost 496 inf + 238638 36.509 * * [simplify]: Extracting #5: cost 45 inf + 362822 36.619 * * [simplify]: Extracting #6: cost 0 inf + 376053 36.797 * [simplify]: Simplified to: (expm1 (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log1p (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (log (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (exp (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x)))) (cbrt (sqrt (/ (/ (- 1.0 (cos x)) x) x))) (* (/ (/ (- 1.0 (cos x)) x) x) (sqrt (/ (/ (- 1.0 (cos x)) 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1.0 (cos x))) (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (sqrt (- 1.0 (cos x))) (- (* (* 1.0 1.0) 1.0) (* (cos x) (* (cos x) (cos x)))) (fma (cos x) (+ 1.0 (cos x)) (* 1.0 1.0)) (- (cos x)) (* (+ 1.0 (cos x)) (- 1.0 (cos x))) (+ 1.0 (cos x)) (+ (sqrt 1.0) (sqrt (cos x))) (- (sqrt 1.0) (sqrt (cos x))) (- 1.0 (cos x)) (- (cos x)) (- (fma 1/1440 (/ (* x x) (/ (sqrt 1/2) (* x x))) (sqrt 1/2)) (fma (/ (* x x) (sqrt 1/2)) 1/48 (* 1/2304 (/ (* x x) (/ (sqrt 1/2) (* x x)))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (- (sqrt (- 1.0 (cos x)))) x) (- (fma 1/1440 (/ (* x x) (/ (sqrt 1/2) (* x x))) (sqrt 1/2)) (fma (/ (* x x) (sqrt 1/2)) 1/48 (* 1/2304 (/ (* x x) (/ (sqrt 1/2) (* x x)))))) (/ (sqrt (- 1.0 (cos x))) x) (/ (- (sqrt (- 1.0 (cos x)))) x) (fma 1/2 (* x x) (fma (* x (* x x)) (* (* x (* x x)) 1/720) (* -1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) (fma 1/2 (* x x) (fma (* x (* x x)) (* (* x (* x x)) 1/720) (* -1/24 (* (* x x) (* x x))))) (- 1.0 (cos x)) (- 1.0 (cos x)) 37.043 * * * [progress]: adding candidates to table 39.599 * [progress]: [Phase 3 of 3] Extracting. 39.600 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 39.618 * * * [regime-changes]: Trying 1 branch expressions: (x) 39.618 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 40.071 * * * [regime]: Found split indices: #