12.410 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.027 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.028 * * [simplify]: iteration 1 : 24 enodes (cost 10 ) 0.031 * * [simplify]: iteration 2 : 30 enodes (cost 10 ) 0.034 * * [simplify]: iteration 3 : 32 enodes (cost 10 ) 0.040 * * [simplify]: iteration done : 32 enodes (cost 10 ) 0.040 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2) 0.056 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.060 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.061 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.061 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.061 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.061 * [taylor]: Taking taylor expansion of (* re re) in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of re in im 0.061 * [taylor]: Taking taylor expansion of (* im im) in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.061 * [taylor]: Taking taylor expansion of im in im 0.062 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.063 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.063 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.063 * [taylor]: Taking taylor expansion of (* re re) in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [taylor]: Taking taylor expansion of re in re 0.063 * [taylor]: Taking taylor expansion of (* im im) in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.063 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.064 * [taylor]: Taking taylor expansion of (* re re) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (* im im) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of im in im 0.066 * [taylor]: Taking taylor expansion of 1 in im 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.067 * [taylor]: Taking taylor expansion of 1/2 in im 0.068 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.071 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.072 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.072 * [taylor]: Taking taylor expansion of re in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.072 * [taylor]: Taking taylor expansion of re in im 0.072 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.079 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [taylor]: Taking taylor expansion of 2 in im 0.083 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.086 * [taylor]: Taking taylor expansion of 1/2 in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.093 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.093 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.093 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.093 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.093 * [taylor]: Taking taylor expansion of -1 in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.097 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.097 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.097 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.097 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.097 * [taylor]: Taking taylor expansion of -1 in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.101 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.101 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.101 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.101 * [taylor]: Taking taylor expansion of -1 in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.101 * [taylor]: Taking taylor expansion of -1 in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.101 * [taylor]: Taking taylor expansion of -1 in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.101 * [taylor]: Taking taylor expansion of -1 in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.104 * [taylor]: Taking taylor expansion of re in re 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.116 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2) 0.116 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.116 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.116 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.116 * [taylor]: Taking taylor expansion of (* re re) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [taylor]: Taking taylor expansion of (* im im) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.118 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.118 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.118 * [taylor]: Taking taylor expansion of (* re re) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (* im im) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.119 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.119 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.119 * [taylor]: Taking taylor expansion of (* re re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (* im im) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.128 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.128 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.131 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.131 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.135 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.145 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.145 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.145 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.145 * [taylor]: Taking taylor expansion of -1 in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.145 * [taylor]: Taking taylor expansion of -1 in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.146 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.146 * [taylor]: Taking taylor expansion of -1 in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.146 * [taylor]: Taking taylor expansion of -1 in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.149 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.149 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.149 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.149 * [taylor]: Taking taylor expansion of -1 in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.149 * [taylor]: Taking taylor expansion of -1 in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.150 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.150 * [taylor]: Taking taylor expansion of -1 in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.150 * [taylor]: Taking taylor expansion of -1 in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.153 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.153 * [taylor]: Taking taylor expansion of -1 in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.153 * [taylor]: Taking taylor expansion of -1 in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.153 * [taylor]: Taking taylor expansion of -1 in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.153 * [taylor]: Taking taylor expansion of -1 in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.156 * [taylor]: Taking taylor expansion of 1 in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.164 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.164 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.164 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.164 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.164 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.164 * [taylor]: Taking taylor expansion of (* re re) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (* im im) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.166 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.167 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.167 * [taylor]: Taking taylor expansion of (* re re) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (* im im) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.168 * [taylor]: Taking taylor expansion of 2.0 in re 0.169 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.169 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.169 * [taylor]: Taking taylor expansion of (* re re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (* im im) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.171 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.172 * [taylor]: Taking taylor expansion of 2.0 in im 0.173 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.175 * [taylor]: Taking taylor expansion of 1/2 in im 0.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.175 * [taylor]: Taking taylor expansion of 2.0 in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.186 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.187 * [taylor]: Taking taylor expansion of 1/8 in im 0.187 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.187 * [taylor]: Taking taylor expansion of 2.0 in im 0.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.187 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.202 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.203 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.203 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.203 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.203 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.210 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.211 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.211 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.211 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.216 * [taylor]: Taking taylor expansion of 2.0 in re 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.217 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.217 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.218 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.218 * [taylor]: Taking taylor expansion of im in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.218 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.222 * [taylor]: Taking taylor expansion of 2.0 in re 0.223 * [taylor]: Taking taylor expansion of 0 in im 0.224 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.224 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.224 * [taylor]: Taking taylor expansion of +nan.0 in im 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.224 * [taylor]: Taking taylor expansion of 2.0 in im 0.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.230 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.230 * [taylor]: Taking taylor expansion of +nan.0 in im 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.230 * [taylor]: Taking taylor expansion of 2.0 in im 0.240 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.240 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.240 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.240 * [taylor]: Taking taylor expansion of +nan.0 in im 0.240 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.240 * [taylor]: Taking taylor expansion of 2.0 in im 0.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.241 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.241 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.241 * [taylor]: Taking taylor expansion of +nan.0 in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.255 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.255 * [taylor]: Taking taylor expansion of +nan.0 in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.269 * [taylor]: Taking taylor expansion of 2.0 in im 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.269 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.269 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.269 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.269 * [taylor]: Taking taylor expansion of -1 in im 0.269 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.273 * [taylor]: Taking taylor expansion of re in im 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.274 * [taylor]: Taking taylor expansion of 2.0 in re 0.275 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.275 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.275 * [taylor]: Taking taylor expansion of -1 in re 0.275 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.276 * [taylor]: Taking taylor expansion of -1 in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.276 * [taylor]: Taking taylor expansion of -1 in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.276 * [taylor]: Taking taylor expansion of -1 in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.284 * [taylor]: Taking taylor expansion of 2.0 in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.285 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.285 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.285 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.285 * [taylor]: Taking taylor expansion of -1 in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.286 * [taylor]: Taking taylor expansion of -1 in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.286 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.286 * [taylor]: Taking taylor expansion of -1 in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.286 * [taylor]: Taking taylor expansion of -1 in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.298 * [taylor]: Taking taylor expansion of 0 in im 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.299 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.325 * [taylor]: Taking taylor expansion of +nan.0 in im 0.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.326 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.327 * [taylor]: Taking taylor expansion of +nan.0 in im 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.327 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.351 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.354 * * [simplify]: iteration 0 : 86 enodes (cost 414 ) 0.367 * * [simplify]: iteration 1 : 187 enodes (cost 377 ) 0.399 * * [simplify]: iteration 2 : 491 enodes (cost 354 ) 0.509 * * [simplify]: iteration 3 : 1479 enodes (cost 345 ) 1.025 * * [simplify]: iteration done : 5000 enodes (cost 344 ) 1.025 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (+ re im) (* 2 re) 0 im re (- re) (* (fma (- re) re (- im re)) (* +nan.0 (sqrt 2.0))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 1.026 * * * [progress]: adding candidates to table 1.160 * * [progress]: iteration 2 / 4 1.160 * * * [progress]: picking best candidate 1.173 * * * * [pick]: Picked # 1.173 * * * [progress]: localizing error 1.183 * * * [progress]: generating rewritten candidates 1.183 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.195 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1) 1.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.197 * * * [progress]: generating series expansions 1.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.198 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.198 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.198 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.198 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.198 * [taylor]: Taking taylor expansion of (* re re) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.198 * [taylor]: Taking taylor expansion of (* im im) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.199 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.199 * [taylor]: Taking taylor expansion of re in re 1.199 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.200 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.200 * [taylor]: Taking taylor expansion of (* re re) in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of (* im im) in re 1.200 * [taylor]: Taking taylor expansion of im in re 1.200 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.201 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.201 * [taylor]: Taking taylor expansion of (* re re) in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (* im im) in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of im in im 1.203 * [taylor]: Taking taylor expansion of 1 in im 1.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.205 * [taylor]: Taking taylor expansion of 1/2 in im 1.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.207 * [taylor]: Taking taylor expansion of 0 in im 1.209 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.209 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.209 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.209 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.209 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.209 * [taylor]: Taking taylor expansion of re in im 1.209 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.209 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.209 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.212 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.212 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.212 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.212 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.213 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.216 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of 2 in im 1.220 * [taylor]: Taking taylor expansion of 0 in im 1.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.224 * [taylor]: Taking taylor expansion of 1/2 in im 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.224 * [taylor]: Taking taylor expansion of im in im 1.229 * [taylor]: Taking taylor expansion of 0 in im 1.231 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.231 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.231 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.231 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.231 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.232 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.232 * [taylor]: Taking taylor expansion of -1 in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.234 * [taylor]: Taking taylor expansion of re in im 1.235 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.235 * [taylor]: Taking taylor expansion of -1 in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.238 * [taylor]: Taking taylor expansion of re in re 1.238 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.239 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.239 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.239 * [taylor]: Taking taylor expansion of -1 in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of 0 in im 1.244 * [taylor]: Taking taylor expansion of 0 in im 1.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.247 * [taylor]: Taking taylor expansion of 1/2 in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.252 * [taylor]: Taking taylor expansion of 0 in im 1.254 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.254 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.254 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.254 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.254 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.254 * [taylor]: Taking taylor expansion of (* re re) in im 1.254 * [taylor]: Taking taylor expansion of re in im 1.254 * [taylor]: Taking taylor expansion of re in im 1.254 * [taylor]: Taking taylor expansion of (* im im) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.255 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.256 * [taylor]: Taking taylor expansion of (* re re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (* im im) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.257 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.257 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.257 * [taylor]: Taking taylor expansion of (* re re) in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.257 * [taylor]: Taking taylor expansion of (* im im) in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of im in re 1.258 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of 0 in im 1.260 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.260 * [taylor]: Taking taylor expansion of 1/2 in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of 0 in im 1.263 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.263 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.263 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.263 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.263 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.266 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.266 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.266 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.266 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.267 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.270 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of 1 in im 1.276 * [taylor]: Taking taylor expansion of 0 in im 1.279 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.279 * [taylor]: Taking taylor expansion of 1/2 in im 1.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.283 * [taylor]: Taking taylor expansion of 0 in im 1.284 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.284 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.284 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.284 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.284 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.284 * [taylor]: Taking taylor expansion of -1 in im 1.284 * [taylor]: Taking taylor expansion of re in im 1.284 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.284 * [taylor]: Taking taylor expansion of -1 in im 1.284 * [taylor]: Taking taylor expansion of re in im 1.285 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.288 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.288 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.288 * [taylor]: Taking taylor expansion of -1 in re 1.288 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.289 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.289 * [taylor]: Taking taylor expansion of -1 in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.289 * [taylor]: Taking taylor expansion of -1 in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.291 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.291 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.292 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.292 * [taylor]: Taking taylor expansion of -1 in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.295 * [taylor]: Taking taylor expansion of 1 in im 1.295 * [taylor]: Taking taylor expansion of 0 in im 1.298 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.298 * [taylor]: Taking taylor expansion of 1/2 in im 1.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.303 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1) 1.303 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.303 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.303 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.303 * [taylor]: Taking taylor expansion of (* re re) in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of re in im 1.303 * [taylor]: Taking taylor expansion of (* im im) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.304 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.304 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.304 * [taylor]: Taking taylor expansion of (* re re) in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of re in re 1.304 * [taylor]: Taking taylor expansion of (* im im) in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.304 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.306 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.306 * [taylor]: Taking taylor expansion of (* re re) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (* im im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.307 * [taylor]: Taking taylor expansion of im in im 1.307 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.308 * [taylor]: Taking taylor expansion of 1/2 in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.310 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.311 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.311 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.311 * [taylor]: Taking taylor expansion of re in im 1.311 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.311 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.314 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.315 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.321 * [taylor]: Taking taylor expansion of 1 in im 1.322 * [taylor]: Taking taylor expansion of 0 in im 1.324 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.324 * [taylor]: Taking taylor expansion of 1/2 in im 1.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.324 * [taylor]: Taking taylor expansion of im in im 1.328 * [taylor]: Taking taylor expansion of 0 in im 1.329 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.329 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.329 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.329 * [taylor]: Taking taylor expansion of -1 in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.330 * [taylor]: Taking taylor expansion of -1 in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.333 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.333 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.333 * [taylor]: Taking taylor expansion of -1 in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.334 * [taylor]: Taking taylor expansion of -1 in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.337 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.337 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.337 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.337 * [taylor]: Taking taylor expansion of -1 in re 1.337 * [taylor]: Taking taylor expansion of im in re 1.340 * [taylor]: Taking taylor expansion of 1 in im 1.340 * [taylor]: Taking taylor expansion of 0 in im 1.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.343 * [taylor]: Taking taylor expansion of 1/2 in im 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.348 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1) 1.348 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.348 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.348 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.348 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.348 * [taylor]: Taking taylor expansion of (* re re) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of (* im im) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.349 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.349 * [taylor]: Taking taylor expansion of (* re re) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of (* im im) in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.349 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.351 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.351 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.351 * [taylor]: Taking taylor expansion of (* re re) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [taylor]: Taking taylor expansion of (* im im) in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of 0 in im 1.353 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.353 * [taylor]: Taking taylor expansion of 1/2 in im 1.353 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of 0 in im 1.356 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.356 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.356 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.356 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.356 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.357 * [taylor]: Taking taylor expansion of im in im 1.362 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.362 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.366 * [taylor]: Taking taylor expansion of re in re 1.366 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.366 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.366 * [taylor]: Taking taylor expansion of im in re 1.369 * [taylor]: Taking taylor expansion of 1 in im 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.371 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.371 * [taylor]: Taking taylor expansion of 1/2 in im 1.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of 0 in im 1.377 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.377 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.377 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.377 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.377 * [taylor]: Taking taylor expansion of -1 in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.377 * [taylor]: Taking taylor expansion of -1 in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.377 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.377 * [taylor]: Taking taylor expansion of -1 in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.377 * [taylor]: Taking taylor expansion of -1 in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.380 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.381 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.381 * [taylor]: Taking taylor expansion of -1 in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.381 * [taylor]: Taking taylor expansion of -1 in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.381 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.381 * [taylor]: Taking taylor expansion of -1 in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.381 * [taylor]: Taking taylor expansion of -1 in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of 1 in im 1.388 * [taylor]: Taking taylor expansion of 0 in im 1.390 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.390 * [taylor]: Taking taylor expansion of 1/2 in im 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.395 * * * [progress]: simplifying candidates 1.397 * [simplify]: Simplifying using # : (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.400 * * [simplify]: iteration 0 : 87 enodes (cost 990 ) 1.417 * * [simplify]: iteration 1 : 170 enodes (cost 535 ) 1.465 * * [simplify]: iteration 2 : 530 enodes (cost 501 ) 1.821 * * [simplify]: iteration 3 : 2956 enodes (cost 485 ) 4.179 * * [simplify]: iteration done : 5000 enodes (cost 485 ) 4.179 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (pow (sqrt (hypot re im)) 4) (hypot re im) (pow (sqrt (hypot re im)) 4) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (hypot re im)) 4) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) 4)) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (- re) im re (- re) im re (- re) 4.180 * * * [progress]: adding candidates to table 4.400 * * [progress]: iteration 3 / 4 4.400 * * * [progress]: picking best candidate 4.423 * * * * [pick]: Picked # 4.423 * * * [progress]: localizing error 4.435 * * * [progress]: generating rewritten candidates 4.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 4.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 2 1 2) 4.447 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1) 4.448 * * * [progress]: generating series expansions 4.448 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.449 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 4.449 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 4.449 * [taylor]: Taking taylor expansion of re in im 4.449 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.449 * [taylor]: Taking taylor expansion of (* re re) in im 4.449 * [taylor]: Taking taylor expansion of re in im 4.449 * [taylor]: Taking taylor expansion of re in im 4.449 * [taylor]: Taking taylor expansion of (* im im) in im 4.449 * [taylor]: Taking taylor expansion of im in im 4.449 * [taylor]: Taking taylor expansion of im in im 4.450 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 4.450 * [taylor]: Taking taylor expansion of re in re 4.450 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.450 * [taylor]: Taking taylor expansion of (* re re) in re 4.450 * [taylor]: Taking taylor expansion of re in re 4.450 * [taylor]: Taking taylor expansion of re in re 4.450 * [taylor]: Taking taylor expansion of (* im im) in re 4.450 * [taylor]: Taking taylor expansion of im in re 4.451 * [taylor]: Taking taylor expansion of im in re 4.452 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 4.452 * [taylor]: Taking taylor expansion of re in re 4.452 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.452 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.452 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.452 * [taylor]: Taking taylor expansion of (* re re) in re 4.452 * [taylor]: Taking taylor expansion of re in re 4.452 * [taylor]: Taking taylor expansion of re in re 4.452 * [taylor]: Taking taylor expansion of (* im im) in re 4.452 * [taylor]: Taking taylor expansion of im in re 4.452 * [taylor]: Taking taylor expansion of im in re 4.453 * [taylor]: Taking taylor expansion of im in im 4.453 * [taylor]: Taking taylor expansion of 1 in im 4.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.455 * [taylor]: Taking taylor expansion of 1/2 in im 4.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.455 * [taylor]: Taking taylor expansion of im in im 4.458 * [taylor]: Taking taylor expansion of 0 in im 4.461 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.461 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.462 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.462 * [taylor]: Taking taylor expansion of re in im 4.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.462 * [taylor]: Taking taylor expansion of re in im 4.462 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.462 * [taylor]: Taking taylor expansion of im in im 4.462 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.462 * [taylor]: Taking taylor expansion of im in im 4.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.465 * [taylor]: Taking taylor expansion of re in im 4.465 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.465 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.465 * [taylor]: Taking taylor expansion of re in re 4.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.466 * [taylor]: Taking taylor expansion of re in re 4.466 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.466 * [taylor]: Taking taylor expansion of im in re 4.466 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.466 * [taylor]: Taking taylor expansion of im in re 4.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.469 * [taylor]: Taking taylor expansion of re in re 4.469 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.469 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.469 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.469 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.469 * [taylor]: Taking taylor expansion of re in re 4.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.469 * [taylor]: Taking taylor expansion of re in re 4.470 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.470 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.470 * [taylor]: Taking taylor expansion of im in re 4.470 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.470 * [taylor]: Taking taylor expansion of im in re 4.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.472 * [taylor]: Taking taylor expansion of re in re 4.473 * [taylor]: Taking taylor expansion of 2 in im 4.473 * [taylor]: Taking taylor expansion of 0 in im 4.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.477 * [taylor]: Taking taylor expansion of 1/2 in im 4.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.477 * [taylor]: Taking taylor expansion of im in im 4.482 * [taylor]: Taking taylor expansion of 0 in im 4.483 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.483 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.483 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.484 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.484 * [taylor]: Taking taylor expansion of -1 in im 4.484 * [taylor]: Taking taylor expansion of re in im 4.484 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.484 * [taylor]: Taking taylor expansion of -1 in im 4.484 * [taylor]: Taking taylor expansion of re in im 4.484 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.484 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.484 * [taylor]: Taking taylor expansion of -1 in im 4.484 * [taylor]: Taking taylor expansion of im in im 4.484 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.484 * [taylor]: Taking taylor expansion of -1 in im 4.484 * [taylor]: Taking taylor expansion of im in im 4.487 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.487 * [taylor]: Taking taylor expansion of re in im 4.487 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.487 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.487 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.487 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.487 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.487 * [taylor]: Taking taylor expansion of -1 in re 4.487 * [taylor]: Taking taylor expansion of re in re 4.488 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.488 * [taylor]: Taking taylor expansion of -1 in re 4.488 * [taylor]: Taking taylor expansion of re in re 4.488 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.488 * [taylor]: Taking taylor expansion of -1 in re 4.488 * [taylor]: Taking taylor expansion of im in re 4.488 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.488 * [taylor]: Taking taylor expansion of -1 in re 4.488 * [taylor]: Taking taylor expansion of im in re 4.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.491 * [taylor]: Taking taylor expansion of re in re 4.491 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.491 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.491 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.491 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.491 * [taylor]: Taking taylor expansion of -1 in re 4.491 * [taylor]: Taking taylor expansion of re in re 4.491 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.491 * [taylor]: Taking taylor expansion of -1 in re 4.491 * [taylor]: Taking taylor expansion of re in re 4.492 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.492 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.492 * [taylor]: Taking taylor expansion of -1 in re 4.492 * [taylor]: Taking taylor expansion of im in re 4.492 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.492 * [taylor]: Taking taylor expansion of -1 in re 4.492 * [taylor]: Taking taylor expansion of im in re 4.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.495 * [taylor]: Taking taylor expansion of re in re 4.496 * [taylor]: Taking taylor expansion of 0 in im 4.496 * [taylor]: Taking taylor expansion of 0 in im 4.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.500 * [taylor]: Taking taylor expansion of 1/2 in im 4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.500 * [taylor]: Taking taylor expansion of im in im 4.505 * [taylor]: Taking taylor expansion of 0 in im 4.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 4.507 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.507 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.507 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.507 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.507 * [taylor]: Taking taylor expansion of (* re re) in im 4.507 * [taylor]: Taking taylor expansion of re in im 4.507 * [taylor]: Taking taylor expansion of re in im 4.507 * [taylor]: Taking taylor expansion of (* im im) in im 4.507 * [taylor]: Taking taylor expansion of im in im 4.507 * [taylor]: Taking taylor expansion of im in im 4.508 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.508 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.508 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.508 * [taylor]: Taking taylor expansion of (* re re) in re 4.508 * [taylor]: Taking taylor expansion of re in re 4.508 * [taylor]: Taking taylor expansion of re in re 4.508 * [taylor]: Taking taylor expansion of (* im im) in re 4.508 * [taylor]: Taking taylor expansion of im in re 4.508 * [taylor]: Taking taylor expansion of im in re 4.509 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.510 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.510 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.510 * [taylor]: Taking taylor expansion of (* re re) in re 4.510 * [taylor]: Taking taylor expansion of re in re 4.510 * [taylor]: Taking taylor expansion of re in re 4.510 * [taylor]: Taking taylor expansion of (* im im) in re 4.510 * [taylor]: Taking taylor expansion of im in re 4.510 * [taylor]: Taking taylor expansion of im in re 4.511 * [taylor]: Taking taylor expansion of im in im 4.511 * [taylor]: Taking taylor expansion of 0 in im 4.513 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.513 * [taylor]: Taking taylor expansion of 1/2 in im 4.513 * [taylor]: Taking taylor expansion of im in im 4.515 * [taylor]: Taking taylor expansion of 0 in im 4.515 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.515 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.516 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.516 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.516 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.516 * [taylor]: Taking taylor expansion of re in im 4.516 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.516 * [taylor]: Taking taylor expansion of re in im 4.516 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.516 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.516 * [taylor]: Taking taylor expansion of im in im 4.516 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.516 * [taylor]: Taking taylor expansion of im in im 4.519 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.519 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.519 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.519 * [taylor]: Taking taylor expansion of re in re 4.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.519 * [taylor]: Taking taylor expansion of re in re 4.520 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.520 * [taylor]: Taking taylor expansion of im in re 4.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.520 * [taylor]: Taking taylor expansion of im in re 4.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.522 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.522 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.522 * [taylor]: Taking taylor expansion of re in re 4.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.523 * [taylor]: Taking taylor expansion of re in re 4.523 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.523 * [taylor]: Taking taylor expansion of im in re 4.523 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.523 * [taylor]: Taking taylor expansion of im in re 4.526 * [taylor]: Taking taylor expansion of 1 in im 4.526 * [taylor]: Taking taylor expansion of 0 in im 4.528 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.528 * [taylor]: Taking taylor expansion of 1/2 in im 4.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.528 * [taylor]: Taking taylor expansion of im in im 4.532 * [taylor]: Taking taylor expansion of 0 in im 4.533 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.534 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.534 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.534 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.534 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.534 * [taylor]: Taking taylor expansion of -1 in im 4.534 * [taylor]: Taking taylor expansion of re in im 4.534 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.534 * [taylor]: Taking taylor expansion of -1 in im 4.534 * [taylor]: Taking taylor expansion of re in im 4.534 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.534 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.534 * [taylor]: Taking taylor expansion of -1 in im 4.534 * [taylor]: Taking taylor expansion of im in im 4.534 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.534 * [taylor]: Taking taylor expansion of -1 in im 4.534 * [taylor]: Taking taylor expansion of im in im 4.537 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.537 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.537 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.537 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.537 * [taylor]: Taking taylor expansion of -1 in re 4.537 * [taylor]: Taking taylor expansion of re in re 4.538 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.538 * [taylor]: Taking taylor expansion of -1 in re 4.538 * [taylor]: Taking taylor expansion of re in re 4.538 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.538 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.538 * [taylor]: Taking taylor expansion of -1 in re 4.538 * [taylor]: Taking taylor expansion of im in re 4.538 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.538 * [taylor]: Taking taylor expansion of -1 in re 4.538 * [taylor]: Taking taylor expansion of im in re 4.541 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.541 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.541 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.541 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.541 * [taylor]: Taking taylor expansion of -1 in re 4.541 * [taylor]: Taking taylor expansion of re in re 4.541 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.541 * [taylor]: Taking taylor expansion of -1 in re 4.541 * [taylor]: Taking taylor expansion of re in re 4.541 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.541 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.541 * [taylor]: Taking taylor expansion of -1 in re 4.542 * [taylor]: Taking taylor expansion of im in re 4.542 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.542 * [taylor]: Taking taylor expansion of -1 in re 4.542 * [taylor]: Taking taylor expansion of im in re 4.544 * [taylor]: Taking taylor expansion of 1 in im 4.544 * [taylor]: Taking taylor expansion of 0 in im 4.550 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.550 * [taylor]: Taking taylor expansion of 1/2 in im 4.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.550 * [taylor]: Taking taylor expansion of im in im 4.554 * [taylor]: Taking taylor expansion of 0 in im 4.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 2 1 2) 4.555 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.555 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.555 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.555 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.555 * [taylor]: Taking taylor expansion of (* re re) in im 4.555 * [taylor]: Taking taylor expansion of re in im 4.555 * [taylor]: Taking taylor expansion of re in im 4.555 * [taylor]: Taking taylor expansion of (* im im) in im 4.555 * [taylor]: Taking taylor expansion of im in im 4.555 * [taylor]: Taking taylor expansion of im in im 4.556 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.556 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.556 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.556 * [taylor]: Taking taylor expansion of (* re re) in re 4.557 * [taylor]: Taking taylor expansion of re in re 4.557 * [taylor]: Taking taylor expansion of re in re 4.557 * [taylor]: Taking taylor expansion of (* im im) in re 4.557 * [taylor]: Taking taylor expansion of im in re 4.557 * [taylor]: Taking taylor expansion of im in re 4.558 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.558 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.558 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.558 * [taylor]: Taking taylor expansion of (* re re) in re 4.558 * [taylor]: Taking taylor expansion of re in re 4.558 * [taylor]: Taking taylor expansion of re in re 4.558 * [taylor]: Taking taylor expansion of (* im im) in re 4.558 * [taylor]: Taking taylor expansion of im in re 4.558 * [taylor]: Taking taylor expansion of im in re 4.559 * [taylor]: Taking taylor expansion of im in im 4.559 * [taylor]: Taking taylor expansion of 0 in im 4.561 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.561 * [taylor]: Taking taylor expansion of 1/2 in im 4.561 * [taylor]: Taking taylor expansion of im in im 4.563 * [taylor]: Taking taylor expansion of 0 in im 4.563 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.563 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.564 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.564 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.564 * [taylor]: Taking taylor expansion of re in im 4.564 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.564 * [taylor]: Taking taylor expansion of re in im 4.564 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.564 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.564 * [taylor]: Taking taylor expansion of im in im 4.564 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.564 * [taylor]: Taking taylor expansion of im in im 4.567 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.567 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.567 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.567 * [taylor]: Taking taylor expansion of re in re 4.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.567 * [taylor]: Taking taylor expansion of re in re 4.568 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.568 * [taylor]: Taking taylor expansion of im in re 4.568 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.568 * [taylor]: Taking taylor expansion of im in re 4.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.570 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.570 * [taylor]: Taking taylor expansion of re in re 4.571 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.571 * [taylor]: Taking taylor expansion of re in re 4.571 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.571 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.571 * [taylor]: Taking taylor expansion of im in re 4.571 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.571 * [taylor]: Taking taylor expansion of im in re 4.574 * [taylor]: Taking taylor expansion of 1 in im 4.574 * [taylor]: Taking taylor expansion of 0 in im 4.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.576 * [taylor]: Taking taylor expansion of 1/2 in im 4.576 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.576 * [taylor]: Taking taylor expansion of im in im 4.580 * [taylor]: Taking taylor expansion of 0 in im 4.581 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.581 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.582 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.582 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.582 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.582 * [taylor]: Taking taylor expansion of -1 in im 4.582 * [taylor]: Taking taylor expansion of re in im 4.582 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.582 * [taylor]: Taking taylor expansion of -1 in im 4.582 * [taylor]: Taking taylor expansion of re in im 4.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.582 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.582 * [taylor]: Taking taylor expansion of -1 in im 4.582 * [taylor]: Taking taylor expansion of im in im 4.582 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.582 * [taylor]: Taking taylor expansion of -1 in im 4.582 * [taylor]: Taking taylor expansion of im in im 4.585 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.585 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.585 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.585 * [taylor]: Taking taylor expansion of -1 in re 4.585 * [taylor]: Taking taylor expansion of re in re 4.586 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.586 * [taylor]: Taking taylor expansion of -1 in re 4.586 * [taylor]: Taking taylor expansion of re in re 4.586 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.586 * [taylor]: Taking taylor expansion of -1 in re 4.586 * [taylor]: Taking taylor expansion of im in re 4.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.586 * [taylor]: Taking taylor expansion of -1 in re 4.586 * [taylor]: Taking taylor expansion of im in re 4.589 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.589 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.589 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.589 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.589 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.589 * [taylor]: Taking taylor expansion of -1 in re 4.589 * [taylor]: Taking taylor expansion of re in re 4.589 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.589 * [taylor]: Taking taylor expansion of -1 in re 4.589 * [taylor]: Taking taylor expansion of re in re 4.590 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.590 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.590 * [taylor]: Taking taylor expansion of -1 in re 4.590 * [taylor]: Taking taylor expansion of im in re 4.590 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.590 * [taylor]: Taking taylor expansion of -1 in re 4.590 * [taylor]: Taking taylor expansion of im in re 4.592 * [taylor]: Taking taylor expansion of 1 in im 4.592 * [taylor]: Taking taylor expansion of 0 in im 4.595 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.595 * [taylor]: Taking taylor expansion of 1/2 in im 4.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.595 * [taylor]: Taking taylor expansion of im in im 4.599 * [taylor]: Taking taylor expansion of 0 in im 4.600 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1) 4.600 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.600 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.600 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.600 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.600 * [taylor]: Taking taylor expansion of (* re re) in im 4.600 * [taylor]: Taking taylor expansion of re in im 4.600 * [taylor]: Taking taylor expansion of re in im 4.600 * [taylor]: Taking taylor expansion of (* im im) in im 4.600 * [taylor]: Taking taylor expansion of im in im 4.600 * [taylor]: Taking taylor expansion of im in im 4.601 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.602 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.602 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.602 * [taylor]: Taking taylor expansion of (* re re) in re 4.602 * [taylor]: Taking taylor expansion of re in re 4.602 * [taylor]: Taking taylor expansion of re in re 4.602 * [taylor]: Taking taylor expansion of (* im im) in re 4.602 * [taylor]: Taking taylor expansion of im in re 4.602 * [taylor]: Taking taylor expansion of im in re 4.603 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.603 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.603 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.603 * [taylor]: Taking taylor expansion of (* re re) in re 4.603 * [taylor]: Taking taylor expansion of re in re 4.603 * [taylor]: Taking taylor expansion of re in re 4.603 * [taylor]: Taking taylor expansion of (* im im) in re 4.603 * [taylor]: Taking taylor expansion of im in re 4.603 * [taylor]: Taking taylor expansion of im in re 4.604 * [taylor]: Taking taylor expansion of im in im 4.604 * [taylor]: Taking taylor expansion of 0 in im 4.606 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.606 * [taylor]: Taking taylor expansion of 1/2 in im 4.606 * [taylor]: Taking taylor expansion of im in im 4.608 * [taylor]: Taking taylor expansion of 0 in im 4.609 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.609 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.609 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.609 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.609 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.609 * [taylor]: Taking taylor expansion of re in im 4.609 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.609 * [taylor]: Taking taylor expansion of re in im 4.609 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.609 * [taylor]: Taking taylor expansion of im in im 4.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.609 * [taylor]: Taking taylor expansion of im in im 4.612 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.612 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.612 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.612 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.612 * [taylor]: Taking taylor expansion of re in re 4.612 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.612 * [taylor]: Taking taylor expansion of re in re 4.613 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.613 * [taylor]: Taking taylor expansion of im in re 4.613 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.613 * [taylor]: Taking taylor expansion of im in re 4.615 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.616 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.616 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.616 * [taylor]: Taking taylor expansion of re in re 4.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.616 * [taylor]: Taking taylor expansion of re in re 4.616 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.616 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.616 * [taylor]: Taking taylor expansion of im in re 4.616 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.616 * [taylor]: Taking taylor expansion of im in re 4.619 * [taylor]: Taking taylor expansion of 1 in im 4.619 * [taylor]: Taking taylor expansion of 0 in im 4.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.621 * [taylor]: Taking taylor expansion of 1/2 in im 4.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.621 * [taylor]: Taking taylor expansion of im in im 4.625 * [taylor]: Taking taylor expansion of 0 in im 4.626 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.626 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.627 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.627 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.627 * [taylor]: Taking taylor expansion of -1 in im 4.627 * [taylor]: Taking taylor expansion of re in im 4.627 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.627 * [taylor]: Taking taylor expansion of -1 in im 4.627 * [taylor]: Taking taylor expansion of re in im 4.627 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.627 * [taylor]: Taking taylor expansion of -1 in im 4.627 * [taylor]: Taking taylor expansion of im in im 4.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.627 * [taylor]: Taking taylor expansion of -1 in im 4.627 * [taylor]: Taking taylor expansion of im in im 4.630 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.630 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.630 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.630 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.630 * [taylor]: Taking taylor expansion of -1 in re 4.630 * [taylor]: Taking taylor expansion of re in re 4.631 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.631 * [taylor]: Taking taylor expansion of -1 in re 4.631 * [taylor]: Taking taylor expansion of re in re 4.631 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.631 * [taylor]: Taking taylor expansion of -1 in re 4.631 * [taylor]: Taking taylor expansion of im in re 4.631 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.631 * [taylor]: Taking taylor expansion of -1 in re 4.631 * [taylor]: Taking taylor expansion of im in re 4.637 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.637 * [taylor]: Taking taylor expansion of -1 in re 4.637 * [taylor]: Taking taylor expansion of re in re 4.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.637 * [taylor]: Taking taylor expansion of -1 in re 4.637 * [taylor]: Taking taylor expansion of re in re 4.638 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.638 * [taylor]: Taking taylor expansion of -1 in re 4.638 * [taylor]: Taking taylor expansion of im in re 4.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.638 * [taylor]: Taking taylor expansion of -1 in re 4.638 * [taylor]: Taking taylor expansion of im in re 4.640 * [taylor]: Taking taylor expansion of 1 in im 4.641 * [taylor]: Taking taylor expansion of 0 in im 4.643 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.643 * [taylor]: Taking taylor expansion of 1/2 in im 4.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.643 * [taylor]: Taking taylor expansion of im in im 4.647 * [taylor]: Taking taylor expansion of 0 in im 4.648 * * * [progress]: simplifying candidates 4.649 * [simplify]: Simplifying using # : (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (- re (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (expm1 (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (log1p (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (hypot re im) (* 1 (hypot re im))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* (hypot re im) (* 1 (hypot re im))) (* (hypot re im) (* 1 (hypot re im))) (+ (log (sqrt (hypot re im))) (log (sqrt (* 1 (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (exp (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (* 1 (hypot re im))) (sqrt (* 1 (hypot re im)))) (sqrt (* 1 (hypot re im))))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (* (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (hypot re im) (* 1 (hypot re im))) (sqrt (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* 1 (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* 1 (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* 1 (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* 1 (hypot re im))))) (* (sqrt (hypot re im)) (* (cbrt (sqrt (* 1 (hypot re im)))) (cbrt (sqrt (* 1 (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (* 1 (hypot re im))))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (* 1 (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (* 1 (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* 1 (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* 1 (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* 1 (hypot re im)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 4.652 * * [simplify]: iteration 0 : 80 enodes (cost 833 ) 4.664 * * [simplify]: iteration 1 : 166 enodes (cost 442 ) 4.704 * * [simplify]: iteration 2 : 473 enodes (cost 402 ) 4.895 * * [simplify]: iteration 3 : 1179 enodes (cost 388 ) 5.566 * * [simplify]: iteration 4 : 3766 enodes (cost 388 ) 8.225 * * [simplify]: iteration done : 5001 enodes (cost 388 ) 8.225 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (pow (sqrt (hypot re im)) 4)) (- re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (pow (sqrt (hypot re im)) 4) (hypot re im) (pow (sqrt (hypot re im)) 4) (pow (sqrt (hypot re im)) 4) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (pow (sqrt (hypot re im)) 4) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (- re) im re (- re) im re (- re) 8.226 * * * [progress]: adding candidates to table 8.458 * * [progress]: iteration 4 / 4 8.458 * * * [progress]: picking best candidate 8.484 * * * * [pick]: Picked # 8.484 * * * [progress]: localizing error 8.499 * * * [progress]: generating rewritten candidates 8.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.501 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1) 8.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 2 1) 8.502 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 8.508 * * * [progress]: generating series expansions 8.508 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.509 * [approximate]: Taking taylor expansion of (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3))) in (re im) around 0 8.509 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3))) in im 8.509 * [taylor]: Taking taylor expansion of re in im 8.509 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3)) in im 8.509 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.509 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 8.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 8.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 8.509 * [taylor]: Taking taylor expansion of 1/3 in im 8.509 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 8.509 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 8.509 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.509 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.509 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.509 * [taylor]: Taking taylor expansion of (* re re) in im 8.509 * [taylor]: Taking taylor expansion of re in im 8.509 * [taylor]: Taking taylor expansion of re in im 8.509 * [taylor]: Taking taylor expansion of (* im im) in im 8.509 * [taylor]: Taking taylor expansion of im in im 8.509 * [taylor]: Taking taylor expansion of im in im 8.511 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3))) in re 8.511 * [taylor]: Taking taylor expansion of re in re 8.511 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3)) in re 8.511 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in re 8.511 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 8.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 8.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 8.511 * [taylor]: Taking taylor expansion of 1/3 in re 8.511 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 8.511 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 8.511 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.511 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.511 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.511 * [taylor]: Taking taylor expansion of (* re re) in re 8.511 * [taylor]: Taking taylor expansion of re in re 8.511 * [taylor]: Taking taylor expansion of re in re 8.511 * [taylor]: Taking taylor expansion of (* im im) in re 8.511 * [taylor]: Taking taylor expansion of im in re 8.511 * [taylor]: Taking taylor expansion of im in re 8.513 * [taylor]: Taking taylor expansion of (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3))) in re 8.513 * [taylor]: Taking taylor expansion of re in re 8.513 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (pow (pow (hypot re im) 2) 1/3)) in re 8.513 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in re 8.513 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 8.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 8.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 8.513 * [taylor]: Taking taylor expansion of 1/3 in re 8.513 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 8.513 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 8.513 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.513 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.513 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.513 * [taylor]: Taking taylor expansion of (* re re) in re 8.513 * [taylor]: Taking taylor expansion of re in re 8.513 * [taylor]: Taking taylor expansion of re in re 8.513 * [taylor]: Taking taylor expansion of (* im im) in re 8.513 * [taylor]: Taking taylor expansion of im in re 8.513 * [taylor]: Taking taylor expansion of im in re 8.515 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (pow (pow im 2) 1/3)) in im 8.515 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.515 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 8.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 8.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 8.515 * [taylor]: Taking taylor expansion of 1/3 in im 8.515 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 8.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.515 * [taylor]: Taking taylor expansion of im in im 8.519 * [taylor]: Taking taylor expansion of 1 in im 8.526 * [taylor]: Taking taylor expansion of (* 1/3 (* (fabs (pow (hypot re im) 1/3)) (pow (/ 1 (pow im 4)) 1/3))) in im 8.526 * [taylor]: Taking taylor expansion of 1/3 in im 8.526 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (pow (/ 1 (pow im 4)) 1/3)) in im 8.526 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.526 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 8.526 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 8.526 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 8.526 * [taylor]: Taking taylor expansion of 1/3 in im 8.526 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 8.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 8.526 * [taylor]: Taking taylor expansion of (pow im 4) in im 8.526 * [taylor]: Taking taylor expansion of im in im 8.529 * [approximate]: Taking taylor expansion of (+ (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) (/ 1 re)) in (re im) around 0 8.529 * [taylor]: Taking taylor expansion of (+ (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) (/ 1 re)) in im 8.529 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) in im 8.529 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.529 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 8.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 8.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 8.529 * [taylor]: Taking taylor expansion of 1/3 in im 8.529 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 8.529 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 8.529 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.529 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.529 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.529 * [taylor]: Taking taylor expansion of re in im 8.529 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.529 * [taylor]: Taking taylor expansion of re in im 8.529 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.529 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.529 * [taylor]: Taking taylor expansion of im in im 8.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.530 * [taylor]: Taking taylor expansion of im in im 8.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.537 * [taylor]: Taking taylor expansion of re in im 8.537 * [taylor]: Taking taylor expansion of (+ (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) (/ 1 re)) in re 8.537 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) in re 8.537 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 8.537 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 8.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 8.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 8.537 * [taylor]: Taking taylor expansion of 1/3 in re 8.537 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 8.537 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 8.537 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.537 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.537 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.537 * [taylor]: Taking taylor expansion of re in re 8.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.537 * [taylor]: Taking taylor expansion of re in re 8.538 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.538 * [taylor]: Taking taylor expansion of im in re 8.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.538 * [taylor]: Taking taylor expansion of im in re 8.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.541 * [taylor]: Taking taylor expansion of re in re 8.541 * [taylor]: Taking taylor expansion of (+ (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) (/ 1 re)) in re 8.542 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)) in re 8.542 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 8.542 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 8.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 8.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 8.542 * [taylor]: Taking taylor expansion of 1/3 in re 8.542 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 8.542 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 8.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.542 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.542 * [taylor]: Taking taylor expansion of re in re 8.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.542 * [taylor]: Taking taylor expansion of re in re 8.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.543 * [taylor]: Taking taylor expansion of im in re 8.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.543 * [taylor]: Taking taylor expansion of im in re 8.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.546 * [taylor]: Taking taylor expansion of re in re 8.547 * [taylor]: Taking taylor expansion of 1 in im 8.548 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) in im 8.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 8.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 8.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 8.548 * [taylor]: Taking taylor expansion of 1/3 in im 8.548 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 8.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.548 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.548 * [taylor]: Taking taylor expansion of re in im 8.548 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.552 * [taylor]: Taking taylor expansion of 0 in im 8.561 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)))) in im 8.561 * [taylor]: Taking taylor expansion of 1/3 in im 8.561 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2))) in im 8.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 8.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 8.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 8.561 * [taylor]: Taking taylor expansion of 1/3 in im 8.561 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 8.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.561 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.561 * [taylor]: Taking taylor expansion of re in im 8.561 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)) in im 8.561 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.562 * [taylor]: Taking taylor expansion of im in im 8.572 * [approximate]: Taking taylor expansion of (- (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) (/ 1 re)) in (re im) around 0 8.572 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) (/ 1 re)) in im 8.572 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) in im 8.572 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.572 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 8.572 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 8.572 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 8.572 * [taylor]: Taking taylor expansion of 1/3 in im 8.572 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 8.572 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 8.572 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.572 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.572 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.572 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.572 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.572 * [taylor]: Taking taylor expansion of -1 in im 8.572 * [taylor]: Taking taylor expansion of re in im 8.572 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.572 * [taylor]: Taking taylor expansion of -1 in im 8.572 * [taylor]: Taking taylor expansion of re in im 8.572 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.572 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.572 * [taylor]: Taking taylor expansion of -1 in im 8.573 * [taylor]: Taking taylor expansion of im in im 8.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.573 * [taylor]: Taking taylor expansion of -1 in im 8.573 * [taylor]: Taking taylor expansion of im in im 8.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.577 * [taylor]: Taking taylor expansion of re in im 8.577 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) (/ 1 re)) in re 8.577 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) in re 8.577 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 8.577 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 8.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 8.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 8.577 * [taylor]: Taking taylor expansion of 1/3 in re 8.577 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 8.577 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 8.577 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.577 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.577 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.577 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.577 * [taylor]: Taking taylor expansion of -1 in re 8.577 * [taylor]: Taking taylor expansion of re in re 8.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.577 * [taylor]: Taking taylor expansion of -1 in re 8.577 * [taylor]: Taking taylor expansion of re in re 8.578 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.578 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.578 * [taylor]: Taking taylor expansion of -1 in re 8.578 * [taylor]: Taking taylor expansion of im in re 8.578 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.578 * [taylor]: Taking taylor expansion of -1 in re 8.578 * [taylor]: Taking taylor expansion of im in re 8.581 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.581 * [taylor]: Taking taylor expansion of re in re 8.582 * [taylor]: Taking taylor expansion of (- (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) (/ 1 re)) in re 8.582 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)) in re 8.582 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 8.582 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 8.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 8.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 8.582 * [taylor]: Taking taylor expansion of 1/3 in re 8.582 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 8.582 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 8.582 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.582 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.582 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.582 * [taylor]: Taking taylor expansion of -1 in re 8.582 * [taylor]: Taking taylor expansion of re in re 8.583 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.583 * [taylor]: Taking taylor expansion of -1 in re 8.583 * [taylor]: Taking taylor expansion of re in re 8.583 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.583 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.583 * [taylor]: Taking taylor expansion of -1 in re 8.583 * [taylor]: Taking taylor expansion of im in re 8.583 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.583 * [taylor]: Taking taylor expansion of -1 in re 8.583 * [taylor]: Taking taylor expansion of im in re 8.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.587 * [taylor]: Taking taylor expansion of re in re 8.587 * [taylor]: Taking taylor expansion of -1 in im 8.589 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))) in im 8.589 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 8.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 8.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 8.589 * [taylor]: Taking taylor expansion of 1/3 in im 8.589 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 8.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.589 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.589 * [taylor]: Taking taylor expansion of re in im 8.589 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.593 * [taylor]: Taking taylor expansion of 0 in im 8.602 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2)))) in im 8.602 * [taylor]: Taking taylor expansion of 1/3 in im 8.602 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) in im 8.602 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 8.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 8.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 8.603 * [taylor]: Taking taylor expansion of 1/3 in im 8.603 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 8.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.603 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.603 * [taylor]: Taking taylor expansion of re in im 8.603 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2)) in im 8.603 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.603 * [taylor]: Taking taylor expansion of im in im 8.613 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1) 8.613 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 8.613 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 8.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 8.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 8.613 * [taylor]: Taking taylor expansion of 1/3 in im 8.613 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 8.613 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.613 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.613 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.613 * [taylor]: Taking taylor expansion of (* re re) in im 8.613 * [taylor]: Taking taylor expansion of re in im 8.613 * [taylor]: Taking taylor expansion of re in im 8.613 * [taylor]: Taking taylor expansion of (* im im) in im 8.613 * [taylor]: Taking taylor expansion of im in im 8.613 * [taylor]: Taking taylor expansion of im in im 8.614 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.614 * [taylor]: Taking taylor expansion of 1/3 in re 8.614 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.614 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.615 * [taylor]: Taking taylor expansion of (* re re) in re 8.615 * [taylor]: Taking taylor expansion of re in re 8.615 * [taylor]: Taking taylor expansion of re in re 8.615 * [taylor]: Taking taylor expansion of (* im im) in re 8.615 * [taylor]: Taking taylor expansion of im in re 8.615 * [taylor]: Taking taylor expansion of im in re 8.616 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.616 * [taylor]: Taking taylor expansion of 1/3 in re 8.616 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.616 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.616 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.616 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.616 * [taylor]: Taking taylor expansion of (* re re) in re 8.616 * [taylor]: Taking taylor expansion of re in re 8.616 * [taylor]: Taking taylor expansion of re in re 8.616 * [taylor]: Taking taylor expansion of (* im im) in re 8.616 * [taylor]: Taking taylor expansion of im in re 8.616 * [taylor]: Taking taylor expansion of im in re 8.618 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 8.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 8.618 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 8.618 * [taylor]: Taking taylor expansion of 1/3 in im 8.618 * [taylor]: Taking taylor expansion of (log im) in im 8.618 * [taylor]: Taking taylor expansion of im in im 8.620 * [taylor]: Taking taylor expansion of 0 in im 8.624 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 8.625 * [taylor]: Taking taylor expansion of 1/6 in im 8.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 8.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 8.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 8.625 * [taylor]: Taking taylor expansion of 1/3 in im 8.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 8.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 8.625 * [taylor]: Taking taylor expansion of (pow im 5) in im 8.625 * [taylor]: Taking taylor expansion of im in im 8.637 * [taylor]: Taking taylor expansion of 0 in im 8.645 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 8.645 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 8.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 8.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 8.645 * [taylor]: Taking taylor expansion of 1/3 in im 8.645 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 8.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.646 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.646 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.646 * [taylor]: Taking taylor expansion of re in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.646 * [taylor]: Taking taylor expansion of re in im 8.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.646 * [taylor]: Taking taylor expansion of im in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.646 * [taylor]: Taking taylor expansion of im in im 8.649 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.649 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.649 * [taylor]: Taking taylor expansion of 1/3 in re 8.649 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.649 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.650 * [taylor]: Taking taylor expansion of re in re 8.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.650 * [taylor]: Taking taylor expansion of re in re 8.650 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.650 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.650 * [taylor]: Taking taylor expansion of im in re 8.650 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.650 * [taylor]: Taking taylor expansion of im in re 8.653 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.653 * [taylor]: Taking taylor expansion of 1/3 in re 8.653 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.653 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.654 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.654 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.654 * [taylor]: Taking taylor expansion of re in re 8.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.654 * [taylor]: Taking taylor expansion of re in re 8.654 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.654 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.654 * [taylor]: Taking taylor expansion of im in re 8.654 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.654 * [taylor]: Taking taylor expansion of im in re 8.657 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.657 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.657 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.657 * [taylor]: Taking taylor expansion of -1/3 in im 8.657 * [taylor]: Taking taylor expansion of (log re) in im 8.657 * [taylor]: Taking taylor expansion of re in im 8.659 * [taylor]: Taking taylor expansion of 0 in im 8.666 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.666 * [taylor]: Taking taylor expansion of 1/6 in im 8.666 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.666 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.666 * [taylor]: Taking taylor expansion of 1/3 in im 8.666 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.666 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.666 * [taylor]: Taking taylor expansion of re in im 8.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.666 * [taylor]: Taking taylor expansion of im in im 8.682 * [taylor]: Taking taylor expansion of 0 in im 8.683 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 8.683 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 8.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 8.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 8.683 * [taylor]: Taking taylor expansion of 1/3 in im 8.683 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 8.683 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.683 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.683 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.683 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.683 * [taylor]: Taking taylor expansion of -1 in im 8.683 * [taylor]: Taking taylor expansion of re in im 8.683 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.683 * [taylor]: Taking taylor expansion of -1 in im 8.683 * [taylor]: Taking taylor expansion of re in im 8.683 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.683 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.683 * [taylor]: Taking taylor expansion of -1 in im 8.683 * [taylor]: Taking taylor expansion of im in im 8.683 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.683 * [taylor]: Taking taylor expansion of -1 in im 8.683 * [taylor]: Taking taylor expansion of im in im 8.687 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.687 * [taylor]: Taking taylor expansion of 1/3 in re 8.687 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.687 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.687 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.687 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.687 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.687 * [taylor]: Taking taylor expansion of -1 in re 8.687 * [taylor]: Taking taylor expansion of re in re 8.687 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.687 * [taylor]: Taking taylor expansion of -1 in re 8.687 * [taylor]: Taking taylor expansion of re in re 8.688 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.688 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.688 * [taylor]: Taking taylor expansion of -1 in re 8.688 * [taylor]: Taking taylor expansion of im in re 8.688 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.688 * [taylor]: Taking taylor expansion of -1 in re 8.688 * [taylor]: Taking taylor expansion of im in re 8.691 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.691 * [taylor]: Taking taylor expansion of 1/3 in re 8.691 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.691 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.691 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.691 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.691 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.691 * [taylor]: Taking taylor expansion of -1 in re 8.691 * [taylor]: Taking taylor expansion of re in re 8.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.692 * [taylor]: Taking taylor expansion of -1 in re 8.692 * [taylor]: Taking taylor expansion of re in re 8.692 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.692 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.692 * [taylor]: Taking taylor expansion of -1 in re 8.692 * [taylor]: Taking taylor expansion of im in re 8.692 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.692 * [taylor]: Taking taylor expansion of -1 in re 8.692 * [taylor]: Taking taylor expansion of im in re 8.695 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.695 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.695 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.695 * [taylor]: Taking taylor expansion of -1/3 in im 8.695 * [taylor]: Taking taylor expansion of (log re) in im 8.695 * [taylor]: Taking taylor expansion of re in im 8.697 * [taylor]: Taking taylor expansion of 0 in im 8.704 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.704 * [taylor]: Taking taylor expansion of 1/6 in im 8.704 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.704 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.704 * [taylor]: Taking taylor expansion of 1/3 in im 8.704 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.704 * [taylor]: Taking taylor expansion of re in im 8.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.704 * [taylor]: Taking taylor expansion of im in im 8.723 * [taylor]: Taking taylor expansion of 0 in im 8.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1 2 1) 8.724 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 8.724 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 8.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 8.724 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 8.724 * [taylor]: Taking taylor expansion of 1/3 in im 8.724 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 8.724 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.724 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.724 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.724 * [taylor]: Taking taylor expansion of (* re re) in im 8.724 * [taylor]: Taking taylor expansion of re in im 8.724 * [taylor]: Taking taylor expansion of re in im 8.724 * [taylor]: Taking taylor expansion of (* im im) in im 8.724 * [taylor]: Taking taylor expansion of im in im 8.724 * [taylor]: Taking taylor expansion of im in im 8.725 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.725 * [taylor]: Taking taylor expansion of 1/3 in re 8.725 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.725 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.725 * [taylor]: Taking taylor expansion of (* re re) in re 8.725 * [taylor]: Taking taylor expansion of re in re 8.725 * [taylor]: Taking taylor expansion of re in re 8.725 * [taylor]: Taking taylor expansion of (* im im) in re 8.725 * [taylor]: Taking taylor expansion of im in re 8.725 * [taylor]: Taking taylor expansion of im in re 8.727 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.727 * [taylor]: Taking taylor expansion of 1/3 in re 8.727 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.727 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.727 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.727 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.727 * [taylor]: Taking taylor expansion of (* re re) in re 8.727 * [taylor]: Taking taylor expansion of re in re 8.727 * [taylor]: Taking taylor expansion of re in re 8.727 * [taylor]: Taking taylor expansion of (* im im) in re 8.727 * [taylor]: Taking taylor expansion of im in re 8.727 * [taylor]: Taking taylor expansion of im in re 8.728 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 8.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 8.728 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 8.728 * [taylor]: Taking taylor expansion of 1/3 in im 8.728 * [taylor]: Taking taylor expansion of (log im) in im 8.728 * [taylor]: Taking taylor expansion of im in im 8.730 * [taylor]: Taking taylor expansion of 0 in im 8.735 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 8.735 * [taylor]: Taking taylor expansion of 1/6 in im 8.735 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 8.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 8.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 8.735 * [taylor]: Taking taylor expansion of 1/3 in im 8.735 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 8.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 8.735 * [taylor]: Taking taylor expansion of (pow im 5) in im 8.735 * [taylor]: Taking taylor expansion of im in im 8.745 * [taylor]: Taking taylor expansion of 0 in im 8.753 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 8.753 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 8.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 8.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 8.753 * [taylor]: Taking taylor expansion of 1/3 in im 8.753 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 8.753 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.754 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.754 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.754 * [taylor]: Taking taylor expansion of re in im 8.754 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.754 * [taylor]: Taking taylor expansion of re in im 8.754 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.754 * [taylor]: Taking taylor expansion of im in im 8.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.754 * [taylor]: Taking taylor expansion of im in im 8.757 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.757 * [taylor]: Taking taylor expansion of 1/3 in re 8.757 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.757 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.758 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.758 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.758 * [taylor]: Taking taylor expansion of re in re 8.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.758 * [taylor]: Taking taylor expansion of re in re 8.758 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.758 * [taylor]: Taking taylor expansion of im in re 8.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.758 * [taylor]: Taking taylor expansion of im in re 8.761 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.761 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.761 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.761 * [taylor]: Taking taylor expansion of 1/3 in re 8.761 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.761 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.762 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.762 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.762 * [taylor]: Taking taylor expansion of re in re 8.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.762 * [taylor]: Taking taylor expansion of re in re 8.762 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.762 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.762 * [taylor]: Taking taylor expansion of im in re 8.762 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.762 * [taylor]: Taking taylor expansion of im in re 8.765 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.765 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.765 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.765 * [taylor]: Taking taylor expansion of -1/3 in im 8.765 * [taylor]: Taking taylor expansion of (log re) in im 8.765 * [taylor]: Taking taylor expansion of re in im 8.768 * [taylor]: Taking taylor expansion of 0 in im 8.774 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.774 * [taylor]: Taking taylor expansion of 1/6 in im 8.774 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.774 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.774 * [taylor]: Taking taylor expansion of 1/3 in im 8.774 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.774 * [taylor]: Taking taylor expansion of re in im 8.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.774 * [taylor]: Taking taylor expansion of im in im 8.790 * [taylor]: Taking taylor expansion of 0 in im 8.790 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 8.790 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 8.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 8.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 8.791 * [taylor]: Taking taylor expansion of 1/3 in im 8.791 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 8.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.791 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.791 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.791 * [taylor]: Taking taylor expansion of -1 in im 8.791 * [taylor]: Taking taylor expansion of re in im 8.791 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.791 * [taylor]: Taking taylor expansion of -1 in im 8.791 * [taylor]: Taking taylor expansion of re in im 8.791 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.791 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.791 * [taylor]: Taking taylor expansion of -1 in im 8.791 * [taylor]: Taking taylor expansion of im in im 8.791 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.791 * [taylor]: Taking taylor expansion of -1 in im 8.791 * [taylor]: Taking taylor expansion of im in im 8.795 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.795 * [taylor]: Taking taylor expansion of 1/3 in re 8.795 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.795 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.795 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.795 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.795 * [taylor]: Taking taylor expansion of -1 in re 8.795 * [taylor]: Taking taylor expansion of re in re 8.795 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.795 * [taylor]: Taking taylor expansion of -1 in re 8.795 * [taylor]: Taking taylor expansion of re in re 8.796 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.796 * [taylor]: Taking taylor expansion of -1 in re 8.796 * [taylor]: Taking taylor expansion of im in re 8.796 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.796 * [taylor]: Taking taylor expansion of -1 in re 8.796 * [taylor]: Taking taylor expansion of im in re 8.802 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.802 * [taylor]: Taking taylor expansion of 1/3 in re 8.802 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.802 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.802 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.802 * [taylor]: Taking taylor expansion of -1 in re 8.802 * [taylor]: Taking taylor expansion of re in re 8.803 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.803 * [taylor]: Taking taylor expansion of -1 in re 8.803 * [taylor]: Taking taylor expansion of re in re 8.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.803 * [taylor]: Taking taylor expansion of -1 in re 8.803 * [taylor]: Taking taylor expansion of im in re 8.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.803 * [taylor]: Taking taylor expansion of -1 in re 8.803 * [taylor]: Taking taylor expansion of im in re 8.806 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.806 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.806 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.806 * [taylor]: Taking taylor expansion of -1/3 in im 8.806 * [taylor]: Taking taylor expansion of (log re) in im 8.806 * [taylor]: Taking taylor expansion of re in im 8.808 * [taylor]: Taking taylor expansion of 0 in im 8.815 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.815 * [taylor]: Taking taylor expansion of 1/6 in im 8.815 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.815 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.815 * [taylor]: Taking taylor expansion of 1/3 in im 8.815 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.815 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.815 * [taylor]: Taking taylor expansion of re in im 8.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.815 * [taylor]: Taking taylor expansion of im in im 8.832 * [taylor]: Taking taylor expansion of 0 in im 8.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 8.832 * [approximate]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt (hypot re im))) in (re im) around 0 8.832 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt (hypot re im))) in im 8.832 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.832 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.832 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.832 * [taylor]: Taking taylor expansion of (* re re) in im 8.832 * [taylor]: Taking taylor expansion of re in im 8.832 * [taylor]: Taking taylor expansion of re in im 8.832 * [taylor]: Taking taylor expansion of (* im im) in im 8.832 * [taylor]: Taking taylor expansion of im in im 8.832 * [taylor]: Taking taylor expansion of im in im 8.834 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt (hypot re im))) in re 8.834 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in re 8.834 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.834 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.834 * [taylor]: Taking taylor expansion of (* re re) in re 8.834 * [taylor]: Taking taylor expansion of re in re 8.834 * [taylor]: Taking taylor expansion of re in re 8.834 * [taylor]: Taking taylor expansion of (* im im) in re 8.834 * [taylor]: Taking taylor expansion of im in re 8.834 * [taylor]: Taking taylor expansion of im in re 8.835 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt (hypot re im))) in re 8.835 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in re 8.835 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.835 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.835 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.835 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.835 * [taylor]: Taking taylor expansion of (* re re) in re 8.835 * [taylor]: Taking taylor expansion of re in re 8.835 * [taylor]: Taking taylor expansion of re in re 8.835 * [taylor]: Taking taylor expansion of (* im im) in re 8.835 * [taylor]: Taking taylor expansion of im in re 8.835 * [taylor]: Taking taylor expansion of im in re 8.837 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt im)) in im 8.837 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.837 * [taylor]: Taking taylor expansion of (sqrt im) in im 8.837 * [taylor]: Taking taylor expansion of im in im 8.838 * [taylor]: Taking taylor expansion of 0 in im 8.841 * [taylor]: Taking taylor expansion of (* 1/4 (* (fabs (pow (hypot re im) 1/3)) (sqrt (/ 1 (pow im 3))))) in im 8.841 * [taylor]: Taking taylor expansion of 1/4 in im 8.841 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot re im) 1/3)) (sqrt (/ 1 (pow im 3)))) in im 8.841 * [taylor]: Taking taylor expansion of (fabs (pow (hypot re im) 1/3)) in im 8.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 8.841 * [taylor]: Taking taylor expansion of (pow im 3) in im 8.841 * [taylor]: Taking taylor expansion of im in im 8.851 * [approximate]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (sqrt (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 8.851 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 8.851 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.851 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.851 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.851 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.851 * [taylor]: Taking taylor expansion of re in im 8.851 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.851 * [taylor]: Taking taylor expansion of re in im 8.851 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.851 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.851 * [taylor]: Taking taylor expansion of im in im 8.852 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.852 * [taylor]: Taking taylor expansion of im in im 8.855 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.855 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 8.855 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.856 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.856 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.856 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.856 * [taylor]: Taking taylor expansion of re in re 8.856 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.856 * [taylor]: Taking taylor expansion of re in re 8.856 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.856 * [taylor]: Taking taylor expansion of im in re 8.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.856 * [taylor]: Taking taylor expansion of im in re 8.860 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.860 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in re 8.860 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.860 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.860 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.860 * [taylor]: Taking taylor expansion of re in re 8.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.861 * [taylor]: Taking taylor expansion of re in re 8.861 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.861 * [taylor]: Taking taylor expansion of im in re 8.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.861 * [taylor]: Taking taylor expansion of im in re 8.865 * [taylor]: Taking taylor expansion of 0 in im 8.865 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)))) in im 8.865 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) in im 8.865 * [taylor]: Taking taylor expansion of +nan.0 in im 8.865 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.868 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)))) in im 8.868 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) in im 8.868 * [taylor]: Taking taylor expansion of +nan.0 in im 8.868 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.873 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)))))) in im 8.873 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2))))) in im 8.873 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) in im 8.873 * [taylor]: Taking taylor expansion of +nan.0 in im 8.873 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.873 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)))) in im 8.873 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2))) in im 8.873 * [taylor]: Taking taylor expansion of +nan.0 in im 8.873 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)) in im 8.873 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.873 * [taylor]: Taking taylor expansion of im in im 8.881 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)))))) in im 8.881 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2))))) in im 8.881 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3))) in im 8.881 * [taylor]: Taking taylor expansion of +nan.0 in im 8.881 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)))) in im 8.882 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2))) in im 8.882 * [taylor]: Taking taylor expansion of +nan.0 in im 8.882 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) (pow im 2)) in im 8.882 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ 1 re) (/ 1 im)) 1/3)) in im 8.882 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.882 * [taylor]: Taking taylor expansion of im in im 8.893 * [approximate]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (sqrt (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 8.893 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 8.893 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.893 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 8.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.893 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.893 * [taylor]: Taking taylor expansion of -1 in im 8.893 * [taylor]: Taking taylor expansion of re in im 8.893 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.893 * [taylor]: Taking taylor expansion of -1 in im 8.893 * [taylor]: Taking taylor expansion of re in im 8.893 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.893 * [taylor]: Taking taylor expansion of -1 in im 8.893 * [taylor]: Taking taylor expansion of im in im 8.894 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.894 * [taylor]: Taking taylor expansion of -1 in im 8.894 * [taylor]: Taking taylor expansion of im in im 8.898 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.898 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 8.898 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.898 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.898 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.898 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.898 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.898 * [taylor]: Taking taylor expansion of -1 in re 8.898 * [taylor]: Taking taylor expansion of re in re 8.898 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.898 * [taylor]: Taking taylor expansion of -1 in re 8.898 * [taylor]: Taking taylor expansion of re in re 8.899 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.899 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.899 * [taylor]: Taking taylor expansion of -1 in re 8.899 * [taylor]: Taking taylor expansion of im in re 8.899 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.899 * [taylor]: Taking taylor expansion of -1 in re 8.899 * [taylor]: Taking taylor expansion of im in re 8.902 * [taylor]: Taking taylor expansion of (* (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.903 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in re 8.903 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.903 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.903 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.903 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.903 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.903 * [taylor]: Taking taylor expansion of -1 in re 8.903 * [taylor]: Taking taylor expansion of re in re 8.903 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.903 * [taylor]: Taking taylor expansion of -1 in re 8.903 * [taylor]: Taking taylor expansion of re in re 8.904 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.904 * [taylor]: Taking taylor expansion of -1 in re 8.904 * [taylor]: Taking taylor expansion of im in re 8.904 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.904 * [taylor]: Taking taylor expansion of -1 in re 8.904 * [taylor]: Taking taylor expansion of im in re 8.907 * [taylor]: Taking taylor expansion of 0 in im 8.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))) in im 8.908 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))) in im 8.908 * [taylor]: Taking taylor expansion of +nan.0 in im 8.908 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.910 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))) in im 8.910 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))) in im 8.910 * [taylor]: Taking taylor expansion of +nan.0 in im 8.910 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.915 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))))) in im 8.915 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))))) in im 8.915 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) in im 8.915 * [taylor]: Taking taylor expansion of +nan.0 in im 8.915 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2)) in im 8.916 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.916 * [taylor]: Taking taylor expansion of im in im 8.916 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))) in im 8.916 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))) in im 8.916 * [taylor]: Taking taylor expansion of +nan.0 in im 8.916 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.924 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))))) in im 8.924 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))))) in im 8.924 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2))) in im 8.924 * [taylor]: Taking taylor expansion of +nan.0 in im 8.924 * [taylor]: Taking taylor expansion of (/ (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) (pow im 2)) in im 8.924 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.924 * [taylor]: Taking taylor expansion of im in im 8.924 * [taylor]: Taking taylor expansion of (- (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)))) in im 8.924 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3))) in im 8.924 * [taylor]: Taking taylor expansion of +nan.0 in im 8.924 * [taylor]: Taking taylor expansion of (fabs (pow (hypot (/ -1 re) (/ -1 im)) 1/3)) in im 8.930 * * * [progress]: simplifying candidates 8.931 * [simplify]: Simplifying using # : (expm1 (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (log1p (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (* (exp re) (exp (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (log (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (exp (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (* (cbrt (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (cbrt (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))))) (cbrt (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (* (* (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (sqrt (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (sqrt (+ re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (+ (pow re 3) (pow (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) 3)) (+ (* re re) (- (* (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (* re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))))) (- (* re re) (* (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))))) (- re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (log1p (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (+ (log (sqrt (hypot re im))) (log (fabs (cbrt (hypot re im))))) (log (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (exp (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (fabs (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) (fabs (cbrt (hypot re im))))) (* (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (* (cbrt (fabs (cbrt (hypot re im)))) (cbrt (fabs (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (+ (* (fabs (pow (hypot re im) 1/3)) (pow (pow im 2) 1/3)) (+ re (* 1/3 (* (* (fabs (pow (hypot re im) 1/3)) (pow re 2)) (pow (/ 1 (pow im 4)) 1/3))))) (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow re 2) 1/3))) (+ re (* (fabs (pow (hypot re im) 1/3)) (pow (pow re 2) 1/3))) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (- (+ (* +nan.0 (* (fabs (pow (hypot re im) 1/3)) im)) (- (+ (* +nan.0 (* (fabs (pow (hypot re im) 1/3)) (pow im 2))) (- (* +nan.0 (* (fabs (pow (hypot re im) 1/3)) (pow re 2)))))))) (- (+ (* +nan.0 (/ (fabs (pow (hypot re im) 1/3)) (pow re 2))) (- (+ (* +nan.0 (fabs (pow (hypot re im) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot re im) 1/3)) re))))))) (- (+ (* +nan.0 (/ (fabs (pow (hypot re im) 1/3)) (pow re 2))) (- (+ (* +nan.0 (fabs (pow (hypot re im) 1/3))) (- (* +nan.0 (/ (fabs (pow (hypot re im) 1/3)) re))))))) 8.935 * * [simplify]: iteration 0 : 129 enodes (cost 1122 ) 8.956 * * [simplify]: iteration 1 : 320 enodes (cost 1052 ) 9.028 * * [simplify]: iteration 2 : 1122 enodes (cost 929 ) 9.391 * * [simplify]: iteration 3 : 4961 enodes (cost 906 ) 11.304 * * [simplify]: iteration done : 5000 enodes (cost 906 ) 11.304 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (log1p (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (exp (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (log (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (exp (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (* (cbrt (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (cbrt (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re))) (cbrt (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (pow (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re) 3) (sqrt (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (sqrt (fma (sqrt (hypot re im)) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) re)) (+ (pow re 3) (pow (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im)))) 3)) (fma re re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (- (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) re)))) (- (* re re) (* (cbrt (hypot re im)) (* (hypot re im) (* (fabs (cbrt (hypot re im))) (fabs (cbrt (hypot re im))))))) (- re (* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (pow (hypot re im) 2/3)) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (pow (hypot re im) 2/3)) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (log1p (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (log (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (log (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (exp (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (pow (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) 3) (* (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (pow (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) 3) (sqrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (sqrt (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (* (cbrt (fabs (cbrt (hypot re im)))) (cbrt (fabs (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt (fabs (cbrt (hypot re im))))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (+ (* (fabs (cbrt (hypot re im))) (+ (cbrt (pow im 2)) (* (* (* re re) (cbrt (/ 1 (pow im 4)))) 1/3))) re) (fma (fabs (cbrt (hypot re im))) (cbrt (* re re)) re) (fma (fabs (cbrt (hypot re im))) (cbrt (* re re)) re) (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (* (* +nan.0 (fabs (cbrt (hypot re im)))) (+ (- (pow im 2) (* re re)) (- im))) (* +nan.0 (+ (- (/ (fabs (cbrt (hypot re im))) (* re re))) (- (fabs (cbrt (hypot re im))) (/ (fabs (cbrt (hypot re im))) re)))) (* +nan.0 (+ (- (/ (fabs (cbrt (hypot re im))) (* re re))) (- (fabs (cbrt (hypot re im))) (/ (fabs (cbrt (hypot re im))) re)))) 11.305 * * * [progress]: adding candidates to table 11.599 * [progress]: [Phase 3 of 3] Extracting. 11.599 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 11.605 * * * [regime-changes]: Trying 2 branch expressions: (im re) 11.605 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # # #) 11.667 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # # #) 11.731 * * * [regime]: Found split indices: #