71.250 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.035 * [simplify]: Sending expressions to egg_math: (sqrt (- h1 (* h0 h0))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.065 * [backup-simplify]: Simplify (- 1.0 (* x x)) into (- 1.0 (pow x 2)) 0.065 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [backup-simplify]: Simplify 1.0 into 1.0 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [backup-simplify]: Simplify 1.0 into 1.0 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.066 * [backup-simplify]: Simplify 1.0 into 1.0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (- 1) into -1 0.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.067 * [backup-simplify]: Simplify -1 into -1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- 0) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 (pow x 2)) 1.0) into (- 1.0 (pow x 2)) 0.077 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 x) (/ 1 x))) into (- 1.0 (/ 1 (pow x 2))) 0.077 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [backup-simplify]: Simplify (- 1) into -1 0.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.079 * [backup-simplify]: Simplify -1 into -1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 x)) 2))) into (- 1.0 (pow x 2)) 0.100 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))) into (- 1.0 (/ 1 (pow x 2))) 0.100 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [backup-simplify]: Simplify 1.0 into 1.0 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify (- 1) into -1 0.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.103 * [backup-simplify]: Simplify -1 into -1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 (- x))) 2))) into (- 1.0 (pow x 2)) 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.126 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.126 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.126 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.128 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.129 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (- 1) into -1 0.129 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.131 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.132 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.139 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.141 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.141 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.141 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.142 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- 1) into -1 0.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.145 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.147 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- 0) into 0 0.149 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.151 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.151 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.160 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.162 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.162 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.162 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (- 1) into -1 0.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.164 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.168 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.172 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.172 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.181 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.183 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.183 * * * [progress]: simplifying candidates 0.184 * [simplify]: Simplifying: (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (- (* x x)) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.184 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (exp (* h0 h0))) (log (- h1 (* h0 h0))) (exp (- h1 (* h0 h0))) (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0)))) (cbrt (- h1 (* h0 h0))) (* (* (- h1 (* h0 h0)) (- h1 (* h0 h0))) (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (- (pow h1 3) (pow (* h0 h0) 3)) (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0)))) (- (* h0 h0)) (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)) (+ (sqrt h1) h0) (- (sqrt h1) h0) (- (* h0 h0)) (log (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0)))) (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (cbrt (sqrt (- h1 (* h0 h0)))) (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt 1) (sqrt (- h1 (* h0 h0))) (sqrt (+ (sqrt h1) h0)) (sqrt (- (sqrt h1) h0)) (sqrt (- (pow h1 3) (pow (* h0 h0) 3))) (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0))) (/ 1 2) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 0.223 * * * [progress]: adding candidates to table 0.300 * * [progress]: iteration 2 / 4 0.300 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 1) 0.319 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 1) 0.341 * [backup-simplify]: Simplify (- 1.0 (* x x)) into (- 1.0 (pow x 2)) 0.341 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 (pow x 2)) 1.0) into (- 1.0 (pow x 2)) 0.354 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 x) (/ 1 x))) into (- 1.0 (/ 1 (pow x 2))) 0.354 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [backup-simplify]: Simplify (- 1) into -1 0.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.356 * [backup-simplify]: Simplify -1 into -1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.359 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 x)) 2))) into (- 1.0 (pow x 2)) 0.370 * [backup-simplify]: Simplify (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))) into (- 1.0 (/ 1 (pow x 2))) 0.370 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 (- x))) 2))) into (- 1.0 (pow x 2)) 0.386 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.387 * [backup-simplify]: Simplify (sqrt (log (exp (- 1.0 (* x x))))) into (sqrt (- 1.0 (pow x 2))) 0.387 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.387 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.388 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.389 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.390 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (- 1) into -1 0.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.392 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.393 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.400 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.402 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.402 * [backup-simplify]: Simplify (sqrt (log (exp (- 1.0 (* (/ 1 x) (/ 1 x)))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.402 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [backup-simplify]: Simplify 1.0 into 1.0 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [backup-simplify]: Simplify (- 1) into -1 0.403 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.404 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [backup-simplify]: Simplify 1.0 into 1.0 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify (- 1) into -1 0.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.407 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.409 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.412 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.413 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- 0) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.424 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.427 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.427 * [backup-simplify]: Simplify (sqrt (log (exp (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.427 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [backup-simplify]: Simplify 1.0 into 1.0 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.429 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [backup-simplify]: Simplify 1.0 into 1.0 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ 1 1) into 1 0.433 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.434 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.437 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.442 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.442 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.462 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.464 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.465 * * * [progress]: simplifying candidates 0.465 * [simplify]: Simplifying: (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (- (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) x) (- (* x x)) (log (sqrt (log (exp (- 1.0 (* x x)))))) (exp (sqrt (log (exp (- 1.0 (* x x)))))) (* (cbrt (sqrt (log (exp (- 1.0 (* x x)))))) (cbrt (sqrt (log (exp (- 1.0 (* x x))))))) (cbrt (sqrt (log (exp (- 1.0 (* x x)))))) (* (* (sqrt (log (exp (- 1.0 (* x x))))) (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt 1) (sqrt (log (exp (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (log (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (- 1.0 (* x x))) (sqrt (log (exp 1))) (sqrt (- (sqrt 1.0) x)) (sqrt (log (exp (+ (sqrt 1.0) x)))) (sqrt (* (cbrt (log (exp (- 1.0 (* x x))))) (cbrt (log (exp (- 1.0 (* x x))))))) (sqrt (cbrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt 1) (sqrt (log (exp (- 1.0 (* x x))))) (/ 1 2) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.466 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (exp (* h0 h0))) (log (- h1 (* h0 h0))) (exp (- h1 (* h0 h0))) (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0)))) (cbrt (- h1 (* h0 h0))) (* (* (- h1 (* h0 h0)) (- h1 (* h0 h0))) (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0))) (- (pow h1 3) (pow (* h0 h0) 3)) (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0)))) (- (* h0 h0)) (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0)) (+ (sqrt h1) h0) (- (sqrt h1) h0) (- (* h0 h0)) (log (sqrt (log (exp (- h1 (* h0 h0)))))) (exp (sqrt (log (exp (- h1 (* h0 h0)))))) (* (cbrt (sqrt (log (exp (- h1 (* h0 h0)))))) (cbrt (sqrt (log (exp (- h1 (* h0 h0))))))) (cbrt (sqrt (log (exp (- h1 (* h0 h0)))))) (* (* (sqrt (log (exp (- h1 (* h0 h0))))) (sqrt (log (exp (- h1 (* h0 h0)))))) (sqrt (log (exp (- h1 (* h0 h0)))))) (sqrt 1) (sqrt (log (exp (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (log (exp (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (log (exp (sqrt (- h1 (* h0 h0)))))) (sqrt (- h1 (* h0 h0))) (sqrt (log (exp 1))) (sqrt (- (sqrt h1) h0)) (sqrt (log (exp (+ (sqrt h1) h0)))) (sqrt (* (cbrt (log (exp (- h1 (* h0 h0))))) (cbrt (log (exp (- h1 (* h0 h0))))))) (sqrt (cbrt (log (exp (- h1 (* h0 h0)))))) (sqrt (sqrt (log (exp (- h1 (* h0 h0)))))) (sqrt (sqrt (log (exp (- h1 (* h0 h0)))))) (sqrt 1) (sqrt (log (exp (- h1 (* h0 h0))))) (/ 1 2) (sqrt (sqrt (log (exp (- h1 (* h0 h0)))))) (sqrt (sqrt (log (exp (- h1 (* h0 h0)))))) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 0.519 * * * [progress]: adding candidates to table 0.630 * * [progress]: iteration 3 / 4 0.630 * * * [progress]: picking best candidate 0.633 * * * * [pick]: Picked # 0.633 * * * [progress]: localizing error 0.655 * * * [progress]: generating rewritten candidates 0.655 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2) 0.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.738 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.813 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2) 0.813 * [backup-simplify]: Simplify (* (* x x) (* x x)) into (pow x 4) 0.813 * [approximate]: Taking taylor expansion of (pow x 4) in (x) around 0 0.813 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 1 (pow x 4)) into (pow x 4) 0.825 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 4)) 0.825 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 4)) into (pow x 4) 0.848 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ 1 (pow x 4)) 0.848 * [approximate]: Taking taylor expansion of (/ 1 (pow x 4)) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 (- x))) 4)) into (pow x 4) 0.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.867 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))) into (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) 0.867 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in (x) around 0 0.867 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.867 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [backup-simplify]: Simplify 1.0 into 1.0 0.867 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.867 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [backup-simplify]: Simplify 1.0 into 1.0 0.867 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.868 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.868 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.868 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [backup-simplify]: Simplify 1.0 into 1.0 0.868 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of 1.0 in x 0.869 * [backup-simplify]: Simplify 1.0 into 1.0 0.869 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.869 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.870 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.870 * [backup-simplify]: Simplify 1.0 into 1.0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0) 0.876 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (- 1) into -1 0.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 0 1.0)) (* 0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (- 0) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.903 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow x 2)) 1.0) into (- 1.0 (* 1.0 (pow x 2))) 0.907 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)))) (+ 1.0 (* (/ 1 x) (/ 1 x)))) into (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) 0.907 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [backup-simplify]: Simplify 1.0 into 1.0 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [backup-simplify]: Simplify 1.0 into 1.0 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (/ -1 1) into -1 0.911 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [backup-simplify]: Simplify 1.0 into 1.0 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [backup-simplify]: Simplify 1.0 into 1.0 0.913 * [backup-simplify]: Simplify (- 1) into -1 0.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.914 * [backup-simplify]: Simplify (+ 1 0) into 1 0.914 * [backup-simplify]: Simplify (/ -1 1) into -1 0.914 * [backup-simplify]: Simplify -1 into -1 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 0.927 * [backup-simplify]: Simplify 1.0 into 1.0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (- 0) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (- 0) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 x)) 2))) into (- 1.0 (pow x 2)) 0.975 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x))))) (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) 0.975 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.975 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [backup-simplify]: Simplify 1.0 into 1.0 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [backup-simplify]: Simplify 1.0 into 1.0 0.978 * [backup-simplify]: Simplify (- 1) into -1 0.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.978 * [backup-simplify]: Simplify (+ 1 0) into 1 0.979 * [backup-simplify]: Simplify (/ -1 1) into -1 0.979 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.979 * [taylor]: Taking taylor expansion of 1.0 in x 0.979 * [backup-simplify]: Simplify 1.0 into 1.0 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [backup-simplify]: Simplify 1.0 into 1.0 0.981 * [backup-simplify]: Simplify (- 1) into -1 0.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.982 * [backup-simplify]: Simplify (+ 1 0) into 1 0.982 * [backup-simplify]: Simplify (/ -1 1) into -1 0.982 * [backup-simplify]: Simplify -1 into -1 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 0.995 * [backup-simplify]: Simplify 1.0 into 1.0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (- 0) into 0 0.998 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- 0) into 0 1.004 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ 1.0 (* -1 (pow (/ 1 (/ 1 (- x))) 2))) into (- 1.0 (pow x 2)) 1.038 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 1.038 * [backup-simplify]: Simplify (+ 1.0 (* x x)) into (+ (pow x 2) 1.0) 1.038 * [approximate]: Taking taylor expansion of (+ (pow x 2) 1.0) in (x) around 0 1.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [backup-simplify]: Simplify 1.0 into 1.0 1.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [backup-simplify]: Simplify 1.0 into 1.0 1.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.039 * [backup-simplify]: Simplify 1.0 into 1.0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (* 1 1) into 1 1.040 * [backup-simplify]: Simplify (+ 1 0) into 1 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) 1.0) into (+ (pow x 2) 1.0) 1.045 * [backup-simplify]: Simplify (+ 1.0 (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) 1.0) 1.045 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 1 into 1 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [backup-simplify]: Simplify 1.0 into 1.0 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 1 into 1 1.046 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (/ 1 1) into 1 1.046 * [taylor]: Taking taylor expansion of 1.0 in x 1.046 * [backup-simplify]: Simplify 1.0 into 1.0 1.047 * [backup-simplify]: Simplify (+ 1 0) into 1 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.049 * [backup-simplify]: Simplify 1.0 into 1.0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ 1.0 (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) 1.0) 1.058 * [backup-simplify]: Simplify (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) 1.0) 1.058 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in (x) around 0 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* 1 1) into 1 1.059 * [backup-simplify]: Simplify (/ 1 1) into 1 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [backup-simplify]: Simplify 1.0 into 1.0 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [backup-simplify]: Simplify 1.0 into 1.0 1.060 * [backup-simplify]: Simplify (+ 1 0) into 1 1.060 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.062 * [backup-simplify]: Simplify 1.0 into 1.0 1.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ 1.0 (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) 1.0) 1.077 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.077 * [backup-simplify]: Simplify (sqrt (log (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))))) into (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) 1.077 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 1.077 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.077 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.077 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [backup-simplify]: Simplify 1.0 into 1.0 1.078 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [backup-simplify]: Simplify 1.0 into 1.0 1.078 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.078 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.078 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.079 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.080 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 1.080 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [backup-simplify]: Simplify 1.0 into 1.0 1.080 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [backup-simplify]: Simplify 1.0 into 1.0 1.081 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.081 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.081 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.081 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 1.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.083 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [backup-simplify]: Simplify (+ 1 0) into 1 1.086 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0) 1.088 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0)) 1.089 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0 1.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (- 1) into -1 1.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)) (* 0 (/ 0 1.0)))) into 0 1.102 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.5 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -0.125 (pow (sqrt 1.0) 3)) 1.103 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt 1.0) 3)) into (/ -0.125 (pow (sqrt 1.0) 3)) 1.106 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -0.5 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 1.107 * [backup-simplify]: Simplify (sqrt (log (exp (/ (- (* 1.0 1.0) (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)))) (+ 1.0 (* (/ 1 x) (/ 1 x))))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 1.107 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.107 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [backup-simplify]: Simplify 1.0 into 1.0 1.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.107 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [backup-simplify]: Simplify 1.0 into 1.0 1.109 * [backup-simplify]: Simplify (- 1) into -1 1.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.110 * [backup-simplify]: Simplify (+ 1 0) into 1 1.110 * [backup-simplify]: Simplify (/ -1 1) into -1 1.110 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.115 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [backup-simplify]: Simplify 1.0 into 1.0 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.115 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (* 1 1) into 1 1.116 * [backup-simplify]: Simplify (* 1 1) into 1 1.116 * [backup-simplify]: Simplify (/ 1 1) into 1 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (* 1 1) into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [backup-simplify]: Simplify 1.0 into 1.0 1.118 * [backup-simplify]: Simplify (- 1) into -1 1.118 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.118 * [backup-simplify]: Simplify (+ 1 0) into 1 1.119 * [backup-simplify]: Simplify (/ -1 1) into -1 1.119 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.124 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 1.131 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.132 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (- 0) into 0 1.134 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.148 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.150 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 1.151 * [backup-simplify]: Simplify (sqrt (log (exp (/ (- (* 1.0 1.0) (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x))))) (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 1.151 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.151 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [backup-simplify]: Simplify 1.0 into 1.0 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.151 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [backup-simplify]: Simplify 1.0 into 1.0 1.153 * [backup-simplify]: Simplify (- 1) into -1 1.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.153 * [backup-simplify]: Simplify (+ 1 0) into 1 1.154 * [backup-simplify]: Simplify (/ -1 1) into -1 1.154 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.163 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 1.163 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 1.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [backup-simplify]: Simplify 1.0 into 1.0 1.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.163 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify 1 into 1 1.164 * [backup-simplify]: Simplify (* 1 1) into 1 1.164 * [backup-simplify]: Simplify (* 1 1) into 1 1.164 * [backup-simplify]: Simplify (/ 1 1) into 1 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.165 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (/ 1 1) into 1 1.165 * [taylor]: Taking taylor expansion of 1.0 in x 1.165 * [backup-simplify]: Simplify 1.0 into 1.0 1.165 * [backup-simplify]: Simplify (- 1) into -1 1.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.166 * [backup-simplify]: Simplify (+ 1 0) into 1 1.166 * [backup-simplify]: Simplify (/ -1 1) into -1 1.167 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.172 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.172 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 1.183 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.183 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (+ 0 0) into 0 1.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.194 * [backup-simplify]: Simplify (- 0) into 0 1.194 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.205 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.207 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.209 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 1.210 * * * [progress]: simplifying candidates 1.213 * [simplify]: Simplifying: (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (* x x) (* x x) (* (* x x) (* x x)) (* (* x x) (* x x)) (* x x) (+ 1 1) (+ 1 1) (+ (+ (log x) (log x)) (+ (log x) (log x))) (+ (+ (log x) (log x)) (log (* x x))) (+ (log (* x x)) (+ (log x) (log x))) (+ (log (* x x)) (log (* x x))) (log (* (* x x) (* x x))) (exp (* (* x x) (* x x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* 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(sqrt (sqrt (log (exp (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0))))))) (sqrt (sqrt (log (exp (/ (- (* h1 h1) (* (* h0 h0) (* h0 h0))) (+ h1 (* h0 h0))))))) (pow h0 4) (pow h0 4) (pow h0 4) (- h1 (* h1 (pow h0 2))) (- h1 (pow h0 2)) (- h1 (pow h0 2)) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (- (sqrt h1) (+ (* h3 (/ (pow h0 4) (pow (sqrt h1) 3))) (* h2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h2 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h3 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 1.262 * * * [progress]: adding candidates to table 1.678 * [progress]: [Phase 3 of 3] Extracting. 1.678 * * [regime]: Finding splitpoints for: (# #) 1.678 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- 1.0 (* x x)) x) 1.678 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.688 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 1.697 * * * * [regimes]: Trying to branch on x from (# #) 1.712 * * * [regime]: Found split indices: #