23.215 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: iteration done: 11 enodes (cost 6 ) 0.040 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.041 * * [progress]: iteration 1 / 4 0.041 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.061 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.061 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.061 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [backup-simplify]: Simplify 1.0 into 1.0 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.062 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [backup-simplify]: Simplify 1.0 into 1.0 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.064 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.066 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (- 1) into -1 0.067 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.069 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.070 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- 0) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [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)) 0.091 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.094 * [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))))) 0.095 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.095 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (- 1) into -1 0.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.097 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (- 1) into -1 0.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.101 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.104 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.109 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.110 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.123 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.126 * [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))))) 0.127 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.127 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (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 (/ 1 (pow x 2)) in x 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 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- 1) into -1 0.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.129 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.136 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.141 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.142 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.155 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.158 * [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)))) 0.158 * * * [progress]: simplifying candidates 0.159 * [simplify]: Simplifying: (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)))) (- (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)))) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.160 * * [simplify]: Extracting # 2 : cost 0 0.160 * * [simplify]: Extracting # 3 : cost 0 0.160 * * [simplify]: Extracting # 4 : cost 0 0.160 * * [simplify]: Extracting # 5 : cost 0 0.160 * * [simplify]: Extracting # 6 : cost 0 0.160 * * [simplify]: Extracting # 7 : cost 0 0.160 * * [simplify]: Extracting # 8 : cost 0 0.161 * * [simplify]: Extracting # 9 : cost 0 0.161 * * [simplify]: Extracting # 10 : cost 0 0.161 * * [simplify]: iteration 0 : 67 enodes (cost 246 ) 0.187 * * [simplify]: Extracting # 0 : cost 0 0.187 * * [simplify]: Extracting # 1 : cost 0 0.188 * * [simplify]: Extracting # 2 : cost 0 0.189 * * [simplify]: Extracting # 3 : cost 0 0.189 * * [simplify]: Extracting # 4 : cost 0 0.189 * * [simplify]: iteration 1 : 164 enodes (cost 220 ) 0.290 * * [simplify]: Extracting # 0 : cost 0 0.291 * * [simplify]: Extracting # 1 : cost 0 0.293 * * [simplify]: Extracting # 2 : cost 0 0.294 * * [simplify]: Extracting # 3 : cost 0 0.295 * * [simplify]: Extracting # 4 : cost 0 0.296 * * [simplify]: iteration 2 : 720 enodes (cost 206 ) 0.623 * * [simplify]: Extracting # 0 : cost 0 0.638 * * [simplify]: Extracting # 1 : cost 0 0.650 * * [simplify]: Extracting # 2 : cost 0 0.663 * * [simplify]: Extracting # 3 : cost 0 0.676 * * [simplify]: Extracting # 4 : cost 0 0.684 * * [simplify]: iteration done: 5001 enodes (cost 202 ) 0.684 * [simplify]: Simplified to: (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)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* 1.0 (+ (* x x) 1.0)))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (/ 0.5 (* x (sqrt -1))) (* x (sqrt -1))) (/ (/ 0.125 (pow x 3)) (- (sqrt -1)))) (- (- (/ (/ 0.125 (pow x 3)) (- (sqrt -1))) (/ 0.5 (* x (sqrt -1)))) (* x (sqrt -1))) 0.684 * * * [progress]: adding candidates to table 0.753 * * [progress]: iteration 2 / 4 0.753 * * * [progress]: picking best candidate 0.756 * * * * [pick]: Picked # 0.756 * * * [progress]: localizing error 0.770 * * * [progress]: generating rewritten candidates 0.770 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.825 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.833 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.869 * * * [progress]: generating series expansions 0.869 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.870 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) into (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) 0.870 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [backup-simplify]: Simplify 1.0 into 1.0 0.870 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [backup-simplify]: Simplify 1.0 into 1.0 0.871 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.871 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.872 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.872 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.874 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.874 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [backup-simplify]: Simplify 1.0 into 1.0 0.874 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [backup-simplify]: Simplify 1.0 into 1.0 0.875 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.875 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.876 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.876 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 0.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.878 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (+ 1 0) into 1 0.882 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)) (* 0 (/ 0 1.0)))) into (- 1.0) 0.886 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.5 (sqrt 1.0)) 0.886 * [backup-simplify]: Simplify (/ -0.5 (sqrt 1.0)) into (/ -0.5 (sqrt 1.0)) 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 1 1.0)) (* (- 1.0) (/ 0 1.0)))) into 0 0.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.5 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (- 1) into -1 0.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [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 0.902 * [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)) 0.903 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt 1.0) 3)) into (/ -0.125 (pow (sqrt 1.0) 3)) 0.905 * [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))))) 0.906 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (pow (/ 1 x) 4))) (sqrt (+ 1.0 (* (/ 1 x) (/ 1 x))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 0.906 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.906 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [backup-simplify]: Simplify 1.0 into 1.0 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [backup-simplify]: Simplify 1.0 into 1.0 0.908 * [backup-simplify]: Simplify (- 1) into -1 0.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (/ -1 1) into -1 0.909 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.912 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [backup-simplify]: Simplify 1.0 into 1.0 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 4) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [backup-simplify]: Simplify 1.0 into 1.0 0.914 * [backup-simplify]: Simplify (- 1) into -1 0.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.914 * [backup-simplify]: Simplify (+ 1 0) into 1 0.915 * [backup-simplify]: Simplify (/ -1 1) into -1 0.915 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -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 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.919 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 0.926 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.927 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [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 0.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.934 * [backup-simplify]: Simplify 0 into 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) (+ (* 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 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.950 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.953 * [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))))) 0.954 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (pow (/ 1 (- x)) 4))) (sqrt (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) 0.954 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.954 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [backup-simplify]: Simplify 1.0 into 1.0 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (* 1 1) into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.956 * [backup-simplify]: Simplify (* 1 1) into 1 0.956 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [backup-simplify]: Simplify 1.0 into 1.0 0.956 * [backup-simplify]: Simplify (- 1) into -1 0.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.957 * [backup-simplify]: Simplify (+ 1 0) into 1 0.957 * [backup-simplify]: Simplify (/ -1 1) into -1 0.958 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.963 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.963 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [backup-simplify]: Simplify 1.0 into 1.0 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.963 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (* 1 1) into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [backup-simplify]: Simplify 1.0 into 1.0 0.965 * [backup-simplify]: Simplify (- 1) into -1 0.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.966 * [backup-simplify]: Simplify (+ 1 0) into 1 0.966 * [backup-simplify]: Simplify (/ -1 1) into -1 0.967 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.972 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (- 0) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 1.0 1)) (* 0 (/ 0 1)))) into 1.0 0.983 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.984 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- 0) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 1.0 1)) (* 1.0 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 1.0 (/ 1.0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.011 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.014 * [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)))) 1.014 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.014 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* x x))) into (sqrt (+ (pow x 2) 1.0)) 1.014 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.014 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [backup-simplify]: Simplify 1.0 into 1.0 1.015 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.015 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 1.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [backup-simplify]: Simplify 1.0 into 1.0 1.016 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.016 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.017 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.017 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.017 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (+ 1 0) into 1 1.020 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.020 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [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)) 1.030 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.032 * [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) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) 1.032 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 1.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [backup-simplify]: Simplify 1.0 into 1.0 1.033 * [backup-simplify]: Simplify (+ 1 0) into 1 1.033 * [backup-simplify]: Simplify (sqrt 1) into 1 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (* 1 1) into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [backup-simplify]: Simplify 1.0 into 1.0 1.036 * [backup-simplify]: Simplify (+ 1 0) into 1 1.036 * [backup-simplify]: Simplify (sqrt 1) into 1 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.041 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.041 * [backup-simplify]: Simplify 0.5 into 0.5 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.046 * [backup-simplify]: Simplify -0.125 into -0.125 1.047 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* 0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) 1.047 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow x 2)) 1.0)) 1.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify (* 1 1) into 1 1.048 * [backup-simplify]: Simplify (/ 1 1) into 1 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [backup-simplify]: Simplify 1.0 into 1.0 1.048 * [backup-simplify]: Simplify (+ 1 0) into 1 1.049 * [backup-simplify]: Simplify (sqrt 1) into 1 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [backup-simplify]: Simplify (* 1 1) into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [backup-simplify]: Simplify 1.0 into 1.0 1.051 * [backup-simplify]: Simplify (+ 1 0) into 1 1.051 * [backup-simplify]: Simplify (sqrt 1) into 1 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.056 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.056 * [backup-simplify]: Simplify 0.5 into 0.5 1.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.062 * [backup-simplify]: Simplify -0.125 into -0.125 1.062 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* 0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) 1.062 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.062 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (pow x 4))) into (sqrt (- 1.0 (pow x 4))) 1.062 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 1.062 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [backup-simplify]: Simplify 1.0 into 1.0 1.062 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.063 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.064 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 1.064 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.064 * [backup-simplify]: Simplify 1.0 into 1.0 1.064 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.064 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.065 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify (- 1) into -1 1.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.070 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.070 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (- 0) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.074 * [backup-simplify]: Simplify (- 0) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.078 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.080 * [backup-simplify]: Simplify (- 0) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.085 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.087 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 8)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 4)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) 1.087 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (pow (/ 1 x) 4))) into (sqrt (- 1.0 (/ 1 (pow x 4)))) 1.087 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [backup-simplify]: Simplify 1.0 into 1.0 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.087 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [backup-simplify]: Simplify (- 1) into -1 1.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.089 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.093 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.093 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [backup-simplify]: Simplify (- 1) into -1 1.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.094 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.097 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.112 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.113 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))) (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.121 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (- 0) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.130 * [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 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.138 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.142 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 6)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (* (sqrt -1) (pow (/ 1 (/ 1 x)) 2)))) into (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) 1.142 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (pow (/ 1 (- x)) 4))) into (sqrt (- 1.0 (/ 1 (pow x 4)))) 1.142 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [backup-simplify]: Simplify 1.0 into 1.0 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.143 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 1 into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.143 * [backup-simplify]: Simplify (* 1 1) into 1 1.144 * [backup-simplify]: Simplify (/ 1 1) into 1 1.144 * [backup-simplify]: Simplify (- 1) into -1 1.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.145 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (- 0) into 0 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [backup-simplify]: Simplify 1.0 into 1.0 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.150 * [backup-simplify]: Simplify (* 1 1) into 1 1.150 * [backup-simplify]: Simplify (* 1 1) into 1 1.150 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [backup-simplify]: Simplify (- 1) into -1 1.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.151 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.154 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (- 0) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt -1))) into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.164 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 1.165 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))) (* 2 (* 0 0)))) (* 2 (sqrt -1))) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.171 * [backup-simplify]: Simplify (- 0) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.175 * [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 1.175 * [backup-simplify]: Simplify (- 0) into 0 1.175 * [backup-simplify]: Simplify (+ 0 0) into 0 1.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.176 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (- 0) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 1.187 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 1.191 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 6)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (* (sqrt -1) (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) 1.191 * * * [progress]: simplifying candidates 1.198 * [simplify]: Simplifying: (- (log (sqrt (- (* 1.0 1.0) (pow x 4)))) (log (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (* (* (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (* (* (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (- (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (sqrt (cbrt (- (* 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x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) 1) (/ (sqrt (+ 1.0 (* x x))) (cbrt (sqrt (- (* 1.0 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4)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (pow x 4) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (pow x 4) (pow x 4)) (* (* 1.0 1.0) (pow x 4))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow x 4) (pow x 4)))) (sqrt (+ (* 1.0 1.0) (pow x 4))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (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)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) (- (+ (* (pow x 2) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt -1) 3))))) 1.202 * * [simplify]: Extracting # 0 : cost 0 1.202 * * [simplify]: Extracting # 1 : cost 0 1.202 * * [simplify]: Extracting # 2 : cost 0 1.202 * * [simplify]: Extracting # 3 : cost 0 1.203 * * [simplify]: Extracting # 4 : cost 0 1.203 * * [simplify]: Extracting # 5 : cost 0 1.203 * * [simplify]: Extracting # 6 : cost 0 1.203 * * [simplify]: Extracting # 7 : cost 0 1.204 * * [simplify]: Extracting # 8 : cost 0 1.204 * * [simplify]: Extracting # 9 : cost 0 1.204 * * [simplify]: Extracting # 10 : cost 0 1.205 * * [simplify]: iteration 0 : 231 enodes (cost 3027 ) 1.268 * * [simplify]: Extracting # 0 : cost 0 1.269 * * [simplify]: Extracting # 1 : cost 0 1.269 * * [simplify]: Extracting # 2 : cost 0 1.270 * * [simplify]: Extracting # 3 : cost 0 1.270 * * [simplify]: Extracting # 4 : cost 0 1.271 * * [simplify]: iteration 1 : 473 enodes (cost 2724 ) 1.567 * * [simplify]: Extracting # 0 : cost 0 1.572 * * [simplify]: Extracting # 1 : cost 0 1.578 * * [simplify]: Extracting # 2 : cost 0 1.583 * * [simplify]: Extracting # 3 : cost 0 1.589 * * [simplify]: Extracting # 4 : cost 0 1.594 * * [simplify]: iteration 2 : 2307 enodes (cost 2642 ) 2.486 * * [simplify]: Extracting # 0 : cost 0 2.503 * * [simplify]: Extracting # 1 : cost 0 2.515 * * [simplify]: Extracting # 2 : cost 0 2.525 * * [simplify]: iteration done: 5001 enodes (cost 2627 ) 2.527 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (pow (sqrt (- (* 1.0 1.0) 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(* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ (/ 0.125 (pow x 3)) (pow (sqrt -1) 3)))) (- (- (/ (/ 0.125 (pow x 3)) (pow (sqrt -1) 3)) (/ 0.5 (* x (sqrt -1)))) (* x (sqrt -1))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (+ x (- (/ 0.5 x) (/ 0.125 (pow x 3)))) (- (- (/ 0.125 (pow x 3)) x) (/ 0.5 x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* (pow x 2) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 0.125 (* (pow x 6) (pow (sqrt -1) 3)))) (- (+ (* (pow x 2) (sqrt -1)) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 0.125 (* (pow x 6) (pow (sqrt -1) 3)))) 2.529 * * * [progress]: adding candidates to table 2.974 * [progress]: [Phase 3 of 3] Extracting. 2.974 * * [regime]: Finding splitpoints for: (# #) 2.974 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 2.975 * * * * [regimes]: Trying to branch on (* x x) from (# #) 2.993 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 3.010 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 3.024 * * * * [regimes]: Trying to branch on x from (# #) 3.052 * * * [regime]: Found split indices: #