3.117 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.035 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.036 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.037 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.039 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.040 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.040 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.073 * [taylor]: Taking taylor expansion of 1/2 in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of 1 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of 1/2 in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of 1 in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of 1/2 in im 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.099 * [taylor]: Taking taylor expansion of im in im 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.104 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.104 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.104 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.105 * [taylor]: Taking taylor expansion of im in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of -1 in im 0.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.108 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.115 * [taylor]: Taking taylor expansion of re in im 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of 2 in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.146 * [taylor]: Taking taylor expansion of 1/2 in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.152 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (neg re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (neg re) im re (* -1 re) (- im re) 0 (* -2 re) 0.156 * * [simplify]: iteration 0 : 135 enodes (cost 228 ) 0.159 * * [simplify]: iteration 1 : 332 enodes (cost 216 ) 0.165 * * [simplify]: iteration 2 : 839 enodes (cost 212 ) 0.181 * * [simplify]: iteration 3 : 2503 enodes (cost 211 ) 0.232 * * [simplify]: iteration 4 : 5002 enodes (cost 210 ) 0.234 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (+ (sqrt (+ (* re re) (* im im))) re)))) (* -1 re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 0.234 * * * [progress]: adding candidates to table 0.335 * * [progress]: iteration 2 / 4 0.335 * * * [progress]: picking best candidate 0.345 * * * * [pick]: Picked # 0.345 * * * [progress]: localizing error 0.359 * * * [progress]: generating rewritten candidates 0.359 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.363 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.393 * * * [progress]: generating series expansions 0.393 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.394 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.394 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.394 * [taylor]: Taking taylor expansion of re in im 0.394 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.394 * [taylor]: Taking taylor expansion of im in im 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.395 * [taylor]: Taking taylor expansion of im in re 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.395 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.397 * [taylor]: Taking taylor expansion of 1/2 in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.399 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.400 * [taylor]: Taking taylor expansion of im in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.401 * [taylor]: Taking taylor expansion of re in im 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.405 * [taylor]: Taking taylor expansion of im in re 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.405 * [taylor]: Taking taylor expansion of re in re 0.407 * [taylor]: Taking taylor expansion of 1 in im 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.409 * [taylor]: Taking taylor expansion of 1/2 in im 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.409 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.414 * [taylor]: Taking taylor expansion of re in im 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.417 * [taylor]: Taking taylor expansion of re in re 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.419 * [taylor]: Taking taylor expansion of im in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.419 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.421 * [taylor]: Taking taylor expansion of 1 in im 0.421 * [taylor]: Taking taylor expansion of 0 in im 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.423 * [taylor]: Taking taylor expansion of 1/2 in im 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of 0 in im 0.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.428 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 0.428 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.428 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.429 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.430 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.430 * [taylor]: Taking taylor expansion of im in im 0.430 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.430 * [taylor]: Taking taylor expansion of re in im 0.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.430 * [taylor]: Taking taylor expansion of im in im 0.431 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 0.431 * [taylor]: Taking taylor expansion of 1/2 in re 0.431 * [taylor]: Taking taylor expansion of re in re 0.432 * [taylor]: Taking taylor expansion of 0 in re 0.434 * [taylor]: Taking taylor expansion of (neg (* 1/8 (/ 1 (pow re 3)))) in re 0.434 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 0.434 * [taylor]: Taking taylor expansion of 1/8 in re 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.434 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.441 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.444 * [taylor]: Taking taylor expansion of im in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.448 * [taylor]: Taking taylor expansion of re in im 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.448 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.448 * [taylor]: Taking taylor expansion of im in im 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.449 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.449 * [taylor]: Taking taylor expansion of re in im 0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.451 * [taylor]: Taking taylor expansion of im in im 0.451 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.452 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.452 * [taylor]: Taking taylor expansion of re in im 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.452 * [taylor]: Taking taylor expansion of im in im 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.452 * [taylor]: Taking taylor expansion of re in im 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.455 * [taylor]: Taking taylor expansion of 1 in re 0.456 * [taylor]: Taking taylor expansion of (neg (/ 1 re)) in re 0.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.461 * [taylor]: Taking taylor expansion of 1/2 in re 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.461 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.461 * [taylor]: Taking taylor expansion of re in re 0.465 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.465 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 0.465 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.465 * [taylor]: Taking taylor expansion of im in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.474 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.474 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.474 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.477 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.477 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.477 * [taylor]: Taking taylor expansion of im in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.478 * [taylor]: Taking taylor expansion of re in im 0.480 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.480 * [taylor]: Taking taylor expansion of re in im 0.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.481 * [taylor]: Taking taylor expansion of 1 in re 0.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.485 * [taylor]: Taking taylor expansion of 1/2 in re 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.485 * [taylor]: Taking taylor expansion of re in re 0.491 * [taylor]: Taking taylor expansion of 0 in re 0.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.494 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 0.494 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.494 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.494 * [taylor]: Taking taylor expansion of 2.0 in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.495 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.495 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.495 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.495 * [taylor]: Taking taylor expansion of re in re 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.495 * [taylor]: Taking taylor expansion of im in re 0.496 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.496 * [taylor]: Taking taylor expansion of 2.0 in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.497 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.497 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.497 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.498 * [taylor]: Taking taylor expansion of 2.0 in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.499 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.499 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.499 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.499 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.499 * [taylor]: Taking taylor expansion of im in im 0.500 * [taylor]: Taking taylor expansion of 0 in re 0.502 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.502 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.502 * [taylor]: Taking taylor expansion of 2.0 in re 0.503 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.503 * [taylor]: Taking taylor expansion of 1/2 in re 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.504 * [taylor]: Taking taylor expansion of re in re 0.515 * [taylor]: Taking taylor expansion of 0 in re 0.531 * [taylor]: Taking taylor expansion of (neg (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.532 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.532 * [taylor]: Taking taylor expansion of 1/16 in re 0.532 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.532 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.532 * [taylor]: Taking taylor expansion of 2.0 in re 0.532 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.532 * [taylor]: Taking taylor expansion of 1/2 in re 0.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.571 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 0.571 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.571 * [taylor]: Taking taylor expansion of 2.0 in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.572 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.576 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.576 * [taylor]: Taking taylor expansion of 2.0 in im 0.577 * [taylor]: Taking taylor expansion of im in im 0.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.577 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.577 * [taylor]: Taking taylor expansion of re in im 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.577 * [taylor]: Taking taylor expansion of im in im 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.578 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.578 * [taylor]: Taking taylor expansion of re in im 0.581 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.581 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.581 * [taylor]: Taking taylor expansion of 2.0 in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.583 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.583 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.583 * [taylor]: Taking taylor expansion of re in im 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.583 * [taylor]: Taking taylor expansion of im in im 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.583 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.583 * [taylor]: Taking taylor expansion of re in im 0.587 * [taylor]: Taking taylor expansion of 0 in re 0.589 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in re 0.589 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.589 * [taylor]: Taking taylor expansion of +nan.0 in re 0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.589 * [taylor]: Taking taylor expansion of 2.0 in re 0.595 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.595 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.595 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.595 * [taylor]: Taking taylor expansion of +nan.0 in re 0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.595 * [taylor]: Taking taylor expansion of 2.0 in re 0.596 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 0.596 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.596 * [taylor]: Taking taylor expansion of +nan.0 in re 0.596 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.596 * [taylor]: Taking taylor expansion of 2.0 in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.608 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.608 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.608 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.608 * [taylor]: Taking taylor expansion of +nan.0 in re 0.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.608 * [taylor]: Taking taylor expansion of 2.0 in re 0.612 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.612 * [taylor]: Taking taylor expansion of +nan.0 in re 0.612 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.612 * [taylor]: Taking taylor expansion of 2.0 in re 0.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.613 * [taylor]: Taking taylor expansion of re in re 0.613 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 0.613 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.613 * [taylor]: Taking taylor expansion of +nan.0 in re 0.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.613 * [taylor]: Taking taylor expansion of 2.0 in re 0.614 * [taylor]: Taking taylor expansion of re in re 0.626 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 0.627 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.627 * [taylor]: Taking taylor expansion of 2.0 in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.628 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.628 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.635 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.635 * [taylor]: Taking taylor expansion of 2.0 in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.636 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.637 * [taylor]: Taking taylor expansion of re in im 0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.639 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.640 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.640 * [taylor]: Taking taylor expansion of 2.0 in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.642 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.642 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.642 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.642 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.642 * [taylor]: Taking taylor expansion of re in im 0.644 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.646 * [taylor]: Taking taylor expansion of 0 in re 0.648 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in re 0.648 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.648 * [taylor]: Taking taylor expansion of +nan.0 in re 0.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.648 * [taylor]: Taking taylor expansion of 2.0 in re 0.652 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.652 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.652 * [taylor]: Taking taylor expansion of +nan.0 in re 0.652 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.652 * [taylor]: Taking taylor expansion of 2.0 in re 0.652 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.652 * [taylor]: Taking taylor expansion of +nan.0 in re 0.653 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.653 * [taylor]: Taking taylor expansion of 2.0 in re 0.653 * [taylor]: Taking taylor expansion of re in re 0.666 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.666 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.666 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.666 * [taylor]: Taking taylor expansion of +nan.0 in re 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.666 * [taylor]: Taking taylor expansion of 2.0 in re 0.667 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.667 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.667 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.667 * [taylor]: Taking taylor expansion of +nan.0 in re 0.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.667 * [taylor]: Taking taylor expansion of 2.0 in re 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 0.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.669 * [taylor]: Taking taylor expansion of +nan.0 in re 0.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.669 * [taylor]: Taking taylor expansion of 2.0 in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.682 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.682 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.682 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.683 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.683 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of 1 in im 0.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.686 * [taylor]: Taking taylor expansion of 1/2 in im 0.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.686 * [taylor]: Taking taylor expansion of im in im 0.688 * [taylor]: Taking taylor expansion of 0 in im 0.689 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.689 * [taylor]: Taking taylor expansion of re in im 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.690 * [taylor]: Taking taylor expansion of im in im 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.690 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.690 * [taylor]: Taking taylor expansion of re in im 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.695 * [taylor]: Taking taylor expansion of re in re 0.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.695 * [taylor]: Taking taylor expansion of im in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.699 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of 2 in im 0.702 * [taylor]: Taking taylor expansion of 0 in im 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.704 * [taylor]: Taking taylor expansion of 1/2 in im 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.711 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.711 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.711 * [taylor]: Taking taylor expansion of im in im 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.711 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.711 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.713 * [taylor]: Taking taylor expansion of re in im 0.713 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.713 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.714 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.723 * [taylor]: Taking taylor expansion of 1/2 in im 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.729 * * * [progress]: simplifying candidates 0.730 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (+ (log im) (log im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (* im im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (neg (* im im)) (neg (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (neg (+ re im)) (neg (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (neg (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (neg (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (+ (* +nan.0 (/ (sqrt 2.0) im)) (neg (* +nan.0 (sqrt 2.0))))))) (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (neg (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 0.735 * * [simplify]: iteration 0 : 365 enodes (cost 616 ) 0.741 * * [simplify]: iteration 1 : 1407 enodes (cost 542 ) 0.766 * * [simplify]: iteration 2 : 5001 enodes (cost 532 ) 0.769 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)) (/ (pow im 6) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)) (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3)) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (neg (* im im)) (neg (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) im (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (pow im 2) (pow im 2) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (+ (pow im 2) 0)) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (pow (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (+ (pow im 2) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (neg (+ re im)) (* +nan.0 (+ (neg (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (* +nan.0 (+ (neg (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (* +nan.0 (+ (neg (sqrt 2.0)) (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2))))) (+ re im) (* 2 re) 0 0.769 * * * [progress]: adding candidates to table 0.961 * * [progress]: iteration 3 / 4 0.961 * * * [progress]: picking best candidate 0.974 * * * * [pick]: Picked # 0.974 * * * [progress]: localizing error 0.991 * * * [progress]: generating rewritten candidates 0.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 0.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 2 1 1) 0.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 1.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.035 * * * [progress]: generating series expansions 1.035 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 1.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.036 * [taylor]: Taking taylor expansion of re in im 1.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.036 * [taylor]: Taking taylor expansion of im in im 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.037 * [taylor]: Taking taylor expansion of im in re 1.038 * [taylor]: Taking taylor expansion of im in im 1.038 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.039 * [taylor]: Taking taylor expansion of 1/2 in im 1.039 * [taylor]: Taking taylor expansion of im in im 1.044 * [taylor]: Taking taylor expansion of 0 in im 1.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.045 * [taylor]: Taking taylor expansion of im in im 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.046 * [taylor]: Taking taylor expansion of re in im 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.048 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.048 * [taylor]: Taking taylor expansion of im in re 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.048 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.048 * [taylor]: Taking taylor expansion of re in re 1.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.050 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.050 * [taylor]: Taking taylor expansion of im in re 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.050 * [taylor]: Taking taylor expansion of re in re 1.053 * [taylor]: Taking taylor expansion of 1 in im 1.053 * [taylor]: Taking taylor expansion of 0 in im 1.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.055 * [taylor]: Taking taylor expansion of 1/2 in im 1.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.055 * [taylor]: Taking taylor expansion of im in im 1.058 * [taylor]: Taking taylor expansion of 0 in im 1.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.060 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.060 * [taylor]: Taking taylor expansion of re in im 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.062 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.062 * [taylor]: Taking taylor expansion of im in re 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.062 * [taylor]: Taking taylor expansion of re in re 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.064 * [taylor]: Taking taylor expansion of im in re 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.064 * [taylor]: Taking taylor expansion of re in re 1.067 * [taylor]: Taking taylor expansion of 1 in im 1.067 * [taylor]: Taking taylor expansion of 0 in im 1.069 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.069 * [taylor]: Taking taylor expansion of 1/2 in im 1.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.069 * [taylor]: Taking taylor expansion of im in im 1.072 * [taylor]: Taking taylor expansion of 0 in im 1.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 2 1 1) 1.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.073 * [taylor]: Taking taylor expansion of re in im 1.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.073 * [taylor]: Taking taylor expansion of im in im 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.074 * [taylor]: Taking taylor expansion of re in re 1.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.075 * [taylor]: Taking taylor expansion of im in im 1.075 * [taylor]: Taking taylor expansion of 0 in im 1.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.076 * [taylor]: Taking taylor expansion of 1/2 in im 1.076 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of 0 in im 1.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.080 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.080 * [taylor]: Taking taylor expansion of re in im 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.082 * [taylor]: Taking taylor expansion of im in re 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.082 * [taylor]: Taking taylor expansion of re in re 1.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.084 * [taylor]: Taking taylor expansion of im in re 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.084 * [taylor]: Taking taylor expansion of re in re 1.086 * [taylor]: Taking taylor expansion of 1 in im 1.086 * [taylor]: Taking taylor expansion of 0 in im 1.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.088 * [taylor]: Taking taylor expansion of 1/2 in im 1.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.088 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of 0 in im 1.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.093 * [taylor]: Taking taylor expansion of im in im 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.093 * [taylor]: Taking taylor expansion of re in im 1.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.095 * [taylor]: Taking taylor expansion of im in re 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.095 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of 1 in im 1.100 * [taylor]: Taking taylor expansion of 0 in im 1.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.102 * [taylor]: Taking taylor expansion of 1/2 in im 1.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.105 * [taylor]: Taking taylor expansion of 0 in im 1.106 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 1.107 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.107 * [taylor]: Taking taylor expansion of re in im 1.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.107 * [taylor]: Taking taylor expansion of re in re 1.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.107 * [taylor]: Taking taylor expansion of im in re 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.108 * [taylor]: Taking taylor expansion of re in re 1.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.108 * [taylor]: Taking taylor expansion of im in re 1.109 * [taylor]: Taking taylor expansion of im in im 1.109 * [taylor]: Taking taylor expansion of 0 in im 1.110 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.110 * [taylor]: Taking taylor expansion of 1/2 in im 1.110 * [taylor]: Taking taylor expansion of im in im 1.112 * [taylor]: Taking taylor expansion of 0 in im 1.113 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.113 * [taylor]: Taking taylor expansion of im in im 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.113 * [taylor]: Taking taylor expansion of re in im 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.115 * [taylor]: Taking taylor expansion of im in re 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.115 * [taylor]: Taking taylor expansion of re in re 1.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.118 * [taylor]: Taking taylor expansion of im in re 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.118 * [taylor]: Taking taylor expansion of re in re 1.120 * [taylor]: Taking taylor expansion of 1 in im 1.120 * [taylor]: Taking taylor expansion of 0 in im 1.123 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.123 * [taylor]: Taking taylor expansion of 1/2 in im 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.123 * [taylor]: Taking taylor expansion of im in im 1.128 * [taylor]: Taking taylor expansion of 0 in im 1.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.130 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.130 * [taylor]: Taking taylor expansion of re in im 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.132 * [taylor]: Taking taylor expansion of im in re 1.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.132 * [taylor]: Taking taylor expansion of re in re 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.135 * [taylor]: Taking taylor expansion of im in re 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.135 * [taylor]: Taking taylor expansion of re in re 1.137 * [taylor]: Taking taylor expansion of 1 in im 1.137 * [taylor]: Taking taylor expansion of 0 in im 1.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.139 * [taylor]: Taking taylor expansion of 1/2 in im 1.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.139 * [taylor]: Taking taylor expansion of im in im 1.142 * [taylor]: Taking taylor expansion of 0 in im 1.143 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.144 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.144 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.144 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.144 * [taylor]: Taking taylor expansion of 2.0 in re 1.145 * [taylor]: Taking taylor expansion of im in re 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.145 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.145 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.145 * [taylor]: Taking taylor expansion of re in re 1.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.145 * [taylor]: Taking taylor expansion of re in re 1.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.145 * [taylor]: Taking taylor expansion of im in re 1.146 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.146 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.146 * [taylor]: Taking taylor expansion of 2.0 in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.147 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.147 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.148 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.148 * [taylor]: Taking taylor expansion of 2.0 in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.149 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.149 * [taylor]: Taking taylor expansion of re in im 1.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.150 * [taylor]: Taking taylor expansion of 0 in re 1.152 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.152 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.152 * [taylor]: Taking taylor expansion of 2.0 in re 1.153 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.153 * [taylor]: Taking taylor expansion of 1/2 in re 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.165 * [taylor]: Taking taylor expansion of 0 in re 1.179 * [taylor]: Taking taylor expansion of (neg (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.179 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.179 * [taylor]: Taking taylor expansion of 1/16 in re 1.179 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.179 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.179 * [taylor]: Taking taylor expansion of 2.0 in re 1.180 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.180 * [taylor]: Taking taylor expansion of 1/2 in re 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.181 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.220 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.220 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.220 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.220 * [taylor]: Taking taylor expansion of 2.0 in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.222 * [taylor]: Taking taylor expansion of im in re 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.222 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.226 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.226 * [taylor]: Taking taylor expansion of 2.0 in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.227 * [taylor]: Taking taylor expansion of re in im 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.228 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.231 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.231 * [taylor]: Taking taylor expansion of 2.0 in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.232 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.232 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.233 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of 0 in re 1.238 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in re 1.238 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.238 * [taylor]: Taking taylor expansion of +nan.0 in re 1.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.238 * [taylor]: Taking taylor expansion of 2.0 in re 1.244 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.244 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.244 * [taylor]: Taking taylor expansion of +nan.0 in re 1.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.244 * [taylor]: Taking taylor expansion of 2.0 in re 1.245 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 1.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.245 * [taylor]: Taking taylor expansion of +nan.0 in re 1.245 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.245 * [taylor]: Taking taylor expansion of 2.0 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.257 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.257 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.257 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.257 * [taylor]: Taking taylor expansion of +nan.0 in re 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.258 * [taylor]: Taking taylor expansion of 2.0 in re 1.258 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.258 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.258 * [taylor]: Taking taylor expansion of +nan.0 in re 1.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.258 * [taylor]: Taking taylor expansion of 2.0 in re 1.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.260 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 1.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.260 * [taylor]: Taking taylor expansion of +nan.0 in re 1.260 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.260 * [taylor]: Taking taylor expansion of 2.0 in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.273 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.273 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.274 * [taylor]: Taking taylor expansion of 2.0 in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.275 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.277 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.282 * [taylor]: Taking taylor expansion of 2.0 in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.284 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.291 * [taylor]: Taking taylor expansion of 2.0 in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.293 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.293 * [taylor]: Taking taylor expansion of re in im 1.294 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.296 * [taylor]: Taking taylor expansion of 0 in re 1.298 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (sqrt 2.0))) in re 1.298 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.298 * [taylor]: Taking taylor expansion of +nan.0 in re 1.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.298 * [taylor]: Taking taylor expansion of 2.0 in re 1.302 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.302 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.302 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.302 * [taylor]: Taking taylor expansion of +nan.0 in re 1.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.302 * [taylor]: Taking taylor expansion of 2.0 in re 1.302 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 1.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.302 * [taylor]: Taking taylor expansion of +nan.0 in re 1.303 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.303 * [taylor]: Taking taylor expansion of 2.0 in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.316 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.316 * [taylor]: Taking taylor expansion of +nan.0 in re 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.317 * [taylor]: Taking taylor expansion of 2.0 in re 1.317 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.317 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (neg (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.317 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.317 * [taylor]: Taking taylor expansion of +nan.0 in re 1.317 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.317 * [taylor]: Taking taylor expansion of 2.0 in re 1.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (/ (sqrt 2.0) re))) in re 1.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.319 * [taylor]: Taking taylor expansion of +nan.0 in re 1.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.319 * [taylor]: Taking taylor expansion of 2.0 in re 1.320 * [taylor]: Taking taylor expansion of re in re 1.332 * * * [progress]: simplifying candidates 1.333 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (* (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt 2.0) (sqrt (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im im))) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (neg (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (neg (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (neg (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (neg (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (neg (+ (* +nan.0 (/ (sqrt 2.0) im)) (neg (* +nan.0 (sqrt 2.0))))))) (neg (+ (* +nan.0 (sqrt 2.0)) (neg (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (neg (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 1.338 * * [simplify]: iteration 0 : 260 enodes (cost 665 ) 1.343 * * [simplify]: iteration 1 : 806 enodes (cost 624 ) 1.357 * * [simplify]: iteration 2 : 2945 enodes (cost 618 ) 1.412 * * [simplify]: iteration 3 : 5001 enodes (cost 602 ) 1.415 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (pow (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) 3) (sqrt 2.0) (sqrt (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im im))) (fabs (pow (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) 3/2)) (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) im))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (* +nan.0 (+ (neg (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (* (sqrt 2.0) (* (sqrt 1/2) im)) (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))))) (* +nan.0 (+ (neg (/ (sqrt 2.0) (pow im 2))) (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) 1.416 * * * [progress]: adding candidates to table 1.674 * * [progress]: iteration 4 / 4 1.674 * * * [progress]: picking best candidate 1.693 * * * * [pick]: Picked # 1.693 * * * [progress]: localizing error 1.720 * * * [progress]: generating rewritten candidates 1.720 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 2 2 1 1) 1.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 2 2 1 1) 1.729 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 1 2 1 1 1) 1.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 2 2 1 1) 1.739 * * * [progress]: generating series expansions 1.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 2 2 1 1) 1.739 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.739 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.739 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.739 * [taylor]: Taking taylor expansion of re in im 1.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.739 * [taylor]: Taking taylor expansion of im in im 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.740 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.740 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.740 * [taylor]: Taking taylor expansion of re in re 1.740 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.740 * [taylor]: Taking taylor expansion of im in re 1.741 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.741 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.741 * [taylor]: Taking taylor expansion of re in re 1.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.741 * [taylor]: Taking taylor expansion of im in re 1.741 * [taylor]: Taking taylor expansion of im in im 1.741 * [taylor]: Taking taylor expansion of 0 in im 1.743 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.743 * [taylor]: Taking taylor expansion of 1/2 in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.747 * [taylor]: Taking taylor expansion of 0 in im 1.748 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.748 * [taylor]: Taking taylor expansion of im in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.749 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.749 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.751 * [taylor]: Taking taylor expansion of im in re 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.751 * [taylor]: Taking taylor expansion of re in re 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.753 * [taylor]: Taking taylor expansion of im in re 1.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.753 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.753 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of 1 in im 1.756 * [taylor]: Taking taylor expansion of 0 in im 1.758 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.758 * [taylor]: Taking taylor expansion of 1/2 in im 1.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.758 * [taylor]: Taking taylor expansion of im in im 1.761 * [taylor]: Taking taylor expansion of 0 in im 1.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.762 * [taylor]: Taking taylor expansion of im in im 1.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.763 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.763 * [taylor]: Taking taylor expansion of re in im 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.765 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.765 * [taylor]: Taking taylor expansion of im in re 1.765 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.765 * [taylor]: Taking taylor expansion of re in re 1.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.768 * [taylor]: Taking taylor expansion of im in re 1.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.768 * [taylor]: Taking taylor expansion of re in re 1.770 * [taylor]: Taking taylor expansion of 1 in im 1.770 * [taylor]: Taking taylor expansion of 0 in im 1.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.772 * [taylor]: Taking taylor expansion of 1/2 in im 1.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.772 * [taylor]: Taking taylor expansion of im in im 1.775 * [taylor]: Taking taylor expansion of 0 in im 1.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 2 2 1 1) 1.776 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.776 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.776 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.777 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.777 * [taylor]: Taking taylor expansion of re in re 1.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.777 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.778 * [taylor]: Taking taylor expansion of im in im 1.778 * [taylor]: Taking taylor expansion of 0 in im 1.780 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.780 * [taylor]: Taking taylor expansion of 1/2 in im 1.780 * [taylor]: Taking taylor expansion of im in im 1.782 * [taylor]: Taking taylor expansion of 0 in im 1.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.783 * [taylor]: Taking taylor expansion of re in im 1.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.785 * [taylor]: Taking taylor expansion of im in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.788 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.788 * [taylor]: Taking taylor expansion of im in re 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.788 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.788 * [taylor]: Taking taylor expansion of re in re 1.790 * [taylor]: Taking taylor expansion of 1 in im 1.790 * [taylor]: Taking taylor expansion of 0 in im 1.792 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.792 * [taylor]: Taking taylor expansion of 1/2 in im 1.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.792 * [taylor]: Taking taylor expansion of im in im 1.795 * [taylor]: Taking taylor expansion of 0 in im 1.797 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.797 * [taylor]: Taking taylor expansion of im in im 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.797 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.797 * [taylor]: Taking taylor expansion of re in im 1.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.799 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.799 * [taylor]: Taking taylor expansion of im in re 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.799 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.799 * [taylor]: Taking taylor expansion of re in re 1.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.802 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.802 * [taylor]: Taking taylor expansion of im in re 1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.802 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.802 * [taylor]: Taking taylor expansion of re in re 1.804 * [taylor]: Taking taylor expansion of 1 in im 1.804 * [taylor]: Taking taylor expansion of 0 in im 1.806 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.806 * [taylor]: Taking taylor expansion of 1/2 in im 1.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.806 * [taylor]: Taking taylor expansion of im in im 1.809 * [taylor]: Taking taylor expansion of 0 in im 1.810 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2 1 2 1 1 1) 1.811 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.811 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.811 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.811 * [taylor]: Taking taylor expansion of re in im 1.811 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.811 * [taylor]: Taking taylor expansion of im in im 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.811 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.812 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.812 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.812 * [taylor]: Taking taylor expansion of re in re 1.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.812 * [taylor]: Taking taylor expansion of im in re 1.813 * [taylor]: Taking taylor expansion of im in im 1.813 * [taylor]: Taking taylor expansion of 0 in im 1.814 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.814 * [taylor]: Taking taylor expansion of 1/2 in im 1.814 * [taylor]: Taking taylor expansion of im in im 1.816 * [taylor]: Taking taylor expansion of 0 in im 1.817 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.817 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.817 * [taylor]: Taking taylor expansion of im in im 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.818 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.818 * [taylor]: Taking taylor expansion of re in im 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.820 * [taylor]: Taking taylor expansion of im in re 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.820 * [taylor]: Taking taylor expansion of re in re 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.822 * [taylor]: Taking taylor expansion of im in re 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.823 * [taylor]: Taking taylor expansion of re in re 1.825 * [taylor]: Taking taylor expansion of 1 in im 1.825 * [taylor]: Taking taylor expansion of 0 in im 1.827 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.827 * [taylor]: Taking taylor expansion of 1/2 in im 1.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.827 * [taylor]: Taking taylor expansion of im in im 1.835 * [taylor]: Taking taylor expansion of 0 in im 1.836 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.836 * [taylor]: Taking taylor expansion of im in im 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.836 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.837 * [taylor]: Taking taylor expansion of re in im 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.839 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.839 * [taylor]: Taking taylor expansion of im in re 1.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.841 * [taylor]: Taking taylor expansion of im in re 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.841 * [taylor]: Taking taylor expansion of re in re 1.843 * [taylor]: Taking taylor expansion of 1 in im 1.844 * [taylor]: Taking taylor expansion of 0 in im 1.845 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.845 * [taylor]: Taking taylor expansion of 1/2 in im 1.845 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.845 * [taylor]: Taking taylor expansion of im in im 1.849 * [taylor]: Taking taylor expansion of 0 in im 1.850 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 2 2 1 1) 1.850 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.850 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.850 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.850 * [taylor]: Taking taylor expansion of re in im 1.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.850 * [taylor]: Taking taylor expansion of im in im 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.851 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.851 * [taylor]: Taking taylor expansion of im in re 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.851 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.851 * [taylor]: Taking taylor expansion of im in re 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [taylor]: Taking taylor expansion of 0 in im 1.853 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.853 * [taylor]: Taking taylor expansion of 1/2 in im 1.853 * [taylor]: Taking taylor expansion of im in im 1.855 * [taylor]: Taking taylor expansion of 0 in im 1.856 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.856 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.856 * [taylor]: Taking taylor expansion of re in im 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.858 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.858 * [taylor]: Taking taylor expansion of im in re 1.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.859 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.859 * [taylor]: Taking taylor expansion of re in re 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.861 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.861 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.863 * [taylor]: Taking taylor expansion of 1 in im 1.863 * [taylor]: Taking taylor expansion of 0 in im 1.866 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.866 * [taylor]: Taking taylor expansion of 1/2 in im 1.866 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.866 * [taylor]: Taking taylor expansion of im in im 1.869 * [taylor]: Taking taylor expansion of 0 in im 1.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.870 * [taylor]: Taking taylor expansion of im in im 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.871 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.871 * [taylor]: Taking taylor expansion of re in im 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.873 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.873 * [taylor]: Taking taylor expansion of im in re 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.873 * [taylor]: Taking taylor expansion of re in re 1.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.875 * [taylor]: Taking taylor expansion of im in re 1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.876 * [taylor]: Taking taylor expansion of re in re 1.878 * [taylor]: Taking taylor expansion of 1 in im 1.878 * [taylor]: Taking taylor expansion of 0 in im 1.880 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.880 * [taylor]: Taking taylor expansion of 1/2 in im 1.880 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.880 * [taylor]: Taking taylor expansion of im in im 1.883 * [taylor]: Taking taylor expansion of 0 in im 1.884 * * * [progress]: simplifying candidates 1.885 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.889 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 1.891 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 1.896 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 1.905 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 1.933 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 2.023 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 2.025 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 2.026 * * * [progress]: adding candidates to table 2.424 * [progress]: [Phase 3 of 3] Extracting. 2.424 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.427 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.427 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.467 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.492 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 2.544 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 2.594 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 2.642 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # #) 2.691 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.750 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.826 * * * [regime]: Found split indices: #