3.619 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.033 * * [simplify]: iteration 1 : 19 enodes (cost 10 ) 0.035 * * [simplify]: iteration 2 : 28 enodes (cost 10 ) 0.038 * * [simplify]: iteration 3 : 36 enodes (cost 10 ) 0.042 * * [simplify]: iteration 4 : 42 enodes (cost 10 ) 0.046 * * [simplify]: iteration 5 : 44 enodes (cost 10 ) 0.051 * * [simplify]: iteration done : 44 enodes (cost 10 ) 0.051 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))) 0.054 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.072 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.072 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.073 * [taylor]: Taking taylor expansion of (* re re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (* im im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.075 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.075 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.075 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.075 * [taylor]: Taking taylor expansion of (* re re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (* im im) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.076 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.077 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.077 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.077 * [taylor]: Taking taylor expansion of (* re re) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (* im im) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of -1 in im 0.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.081 * [taylor]: Taking taylor expansion of 1/2 in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.089 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.089 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.089 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.092 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.092 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.096 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.096 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.096 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.111 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.111 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.111 * [taylor]: Taking taylor expansion of -1 in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.111 * [taylor]: Taking taylor expansion of -1 in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.111 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.111 * [taylor]: Taking taylor expansion of -1 in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.111 * [taylor]: Taking taylor expansion of -1 in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.115 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.115 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.115 * [taylor]: Taking taylor expansion of -1 in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.118 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.118 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.118 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.118 * [taylor]: Taking taylor expansion of -1 in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.119 * [taylor]: Taking taylor expansion of -1 in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.119 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.119 * [taylor]: Taking taylor expansion of -1 in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.119 * [taylor]: Taking taylor expansion of -1 in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of 2 in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.133 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.133 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.133 * [taylor]: Taking taylor expansion of 2.0 in im 0.134 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.134 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.134 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.134 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.134 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.134 * [taylor]: Taking taylor expansion of (* re re) in im 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [taylor]: Taking taylor expansion of (* im im) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.139 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.139 * [taylor]: Taking taylor expansion of 2.0 in re 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.140 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.140 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.140 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.140 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.140 * [taylor]: Taking taylor expansion of (* re re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (* im im) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.142 * [taylor]: Taking taylor expansion of 2.0 in re 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.142 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.143 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.143 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.143 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.143 * [taylor]: Taking taylor expansion of (* re re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [taylor]: Taking taylor expansion of (* im im) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.145 * [taylor]: Taking taylor expansion of 2.0 in im 0.146 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.149 * [taylor]: Taking taylor expansion of 1/2 in im 0.149 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.149 * [taylor]: Taking taylor expansion of 2.0 in im 0.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.173 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.173 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.173 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.173 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.173 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.173 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.173 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.177 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.178 * [taylor]: Taking taylor expansion of 2.0 in im 0.179 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.179 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.179 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.179 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.179 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.188 * [taylor]: Taking taylor expansion of 2.0 in re 0.188 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.188 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.188 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.188 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.189 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.189 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.189 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.192 * [taylor]: Taking taylor expansion of re in re 0.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.197 * [taylor]: Taking taylor expansion of 2.0 in re 0.198 * [taylor]: Taking taylor expansion of 0 in im 0.199 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.199 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.199 * [taylor]: Taking taylor expansion of +nan.0 in im 0.199 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.199 * [taylor]: Taking taylor expansion of 2.0 in im 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.207 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.207 * [taylor]: Taking taylor expansion of +nan.0 in im 0.207 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.207 * [taylor]: Taking taylor expansion of 2.0 in im 0.208 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.225 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.225 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.225 * [taylor]: Taking taylor expansion of +nan.0 in im 0.225 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.225 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.226 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.226 * [taylor]: Taking taylor expansion of +nan.0 in im 0.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.253 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.254 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.254 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.254 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.254 * [taylor]: Taking taylor expansion of -1 in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.258 * [taylor]: Taking taylor expansion of 2.0 in re 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.259 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.260 * [taylor]: Taking taylor expansion of -1 in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.260 * [taylor]: Taking taylor expansion of -1 in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.260 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.260 * [taylor]: Taking taylor expansion of -1 in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.260 * [taylor]: Taking taylor expansion of -1 in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.264 * [taylor]: Taking taylor expansion of 2.0 in re 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.265 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.265 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.265 * [taylor]: Taking taylor expansion of -1 in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.266 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.266 * [taylor]: Taking taylor expansion of -1 in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.266 * [taylor]: Taking taylor expansion of -1 in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.266 * [taylor]: Taking taylor expansion of -1 in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.272 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.272 * [taylor]: Taking taylor expansion of +nan.0 in im 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.272 * [taylor]: Taking taylor expansion of 2.0 in im 0.277 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.277 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.277 * [taylor]: Taking taylor expansion of +nan.0 in im 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.277 * [taylor]: Taking taylor expansion of 2.0 in im 0.286 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.286 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.286 * [taylor]: Taking taylor expansion of +nan.0 in im 0.286 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.286 * [taylor]: Taking taylor expansion of 2.0 in im 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.288 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.288 * [taylor]: Taking taylor expansion of +nan.0 in im 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.288 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.300 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.300 * [taylor]: Taking taylor expansion of im in im 0.301 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.301 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.301 * [taylor]: Taking taylor expansion of +nan.0 in im 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp 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)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.318 * * [simplify]: iteration 0 : 107 enodes (cost 626 ) 0.337 * * [simplify]: iteration 1 : 229 enodes (cost 520 ) 0.382 * * [simplify]: iteration 2 : 744 enodes (cost 437 ) 0.666 * * [simplify]: iteration 3 : 4051 enodes (cost 382 ) 2.944 * * [simplify]: iteration done : 5000 enodes (cost 381 ) 2.944 * [simplify]: Simplified to: (- (pow (cbrt (hypot re im)) 3) re) 0 (- (pow (cbrt (hypot re im)) 3) re) 0 (- (pow (cbrt (hypot re im)) 3) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (pow (sqrt (* (- (hypot re im) re) 2.0)) 3) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (fma re re (* (hypot re im) (+ (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) (* (- (- im (* im re)) (pow im 2)) (* +nan.0 (sqrt 2.0))) 0 (fma (sqrt 2.0) (- +nan.0) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 2.945 * * * [progress]: adding candidates to table 3.049 * * [progress]: iteration 2 / 4 3.049 * * * [progress]: picking best candidate 3.063 * * * * [pick]: Picked # 3.063 * * * [progress]: localizing error 3.071 * * * [progress]: generating rewritten candidates 3.071 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 3.074 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 3.087 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 3.095 * * * [progress]: generating series expansions 3.095 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 3.095 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 3.095 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 3.095 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.095 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.095 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.095 * [taylor]: Taking taylor expansion of (* re re) in im 3.095 * [taylor]: Taking taylor expansion of re in im 3.095 * [taylor]: Taking taylor expansion of re in im 3.095 * [taylor]: Taking taylor expansion of (* im im) in im 3.095 * [taylor]: Taking taylor expansion of im in im 3.095 * [taylor]: Taking taylor expansion of im in im 3.097 * [taylor]: Taking taylor expansion of re in im 3.097 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.097 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.097 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.097 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.097 * [taylor]: Taking taylor expansion of (* re re) in re 3.097 * [taylor]: Taking taylor expansion of re in re 3.097 * [taylor]: Taking taylor expansion of re in re 3.097 * [taylor]: Taking taylor expansion of (* im im) in re 3.097 * [taylor]: Taking taylor expansion of im in re 3.097 * [taylor]: Taking taylor expansion of im in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.098 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.098 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.098 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.098 * [taylor]: Taking taylor expansion of (* re re) in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [taylor]: Taking taylor expansion of (* im im) in re 3.098 * [taylor]: Taking taylor expansion of im in re 3.098 * [taylor]: Taking taylor expansion of im in re 3.099 * [taylor]: Taking taylor expansion of re in re 3.100 * [taylor]: Taking taylor expansion of im in im 3.100 * [taylor]: Taking taylor expansion of -1 in im 3.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.102 * [taylor]: Taking taylor expansion of 1/2 in im 3.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.102 * [taylor]: Taking taylor expansion of im in im 3.105 * [taylor]: Taking taylor expansion of 0 in im 3.106 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 3.106 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.106 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.106 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.106 * [taylor]: Taking taylor expansion of re in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.106 * [taylor]: Taking taylor expansion of re in im 3.106 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.106 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.106 * [taylor]: Taking taylor expansion of im in im 3.107 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.107 * [taylor]: Taking taylor expansion of im in im 3.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.109 * [taylor]: Taking taylor expansion of re in im 3.109 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.109 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.110 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.110 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.110 * [taylor]: Taking taylor expansion of im in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.110 * [taylor]: Taking taylor expansion of im in re 3.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.113 * [taylor]: Taking taylor expansion of re in re 3.113 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.113 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.113 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.113 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.113 * [taylor]: Taking taylor expansion of re in re 3.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.114 * [taylor]: Taking taylor expansion of re in re 3.114 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.114 * [taylor]: Taking taylor expansion of im in re 3.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.114 * [taylor]: Taking taylor expansion of im in re 3.116 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.116 * [taylor]: Taking taylor expansion of re in re 3.117 * [taylor]: Taking taylor expansion of 0 in im 3.118 * [taylor]: Taking taylor expansion of 0 in im 3.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.124 * [taylor]: Taking taylor expansion of 1/2 in im 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.124 * [taylor]: Taking taylor expansion of im in im 3.129 * [taylor]: Taking taylor expansion of 0 in im 3.131 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 3.131 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.131 * [taylor]: Taking taylor expansion of re in im 3.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.131 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [taylor]: Taking taylor expansion of re in im 3.131 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [taylor]: Taking taylor expansion of re in im 3.131 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.131 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [taylor]: Taking taylor expansion of im in im 3.132 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.132 * [taylor]: Taking taylor expansion of -1 in im 3.132 * [taylor]: Taking taylor expansion of im in im 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.134 * [taylor]: Taking taylor expansion of re in re 3.135 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.135 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.135 * [taylor]: Taking taylor expansion of -1 in re 3.135 * [taylor]: Taking taylor expansion of re in re 3.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.135 * [taylor]: Taking taylor expansion of -1 in re 3.135 * [taylor]: Taking taylor expansion of re in re 3.136 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.136 * [taylor]: Taking taylor expansion of -1 in re 3.136 * [taylor]: Taking taylor expansion of im in re 3.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.136 * [taylor]: Taking taylor expansion of -1 in re 3.136 * [taylor]: Taking taylor expansion of im in re 3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.138 * [taylor]: Taking taylor expansion of re in re 3.139 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.139 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.139 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.139 * [taylor]: Taking taylor expansion of -1 in re 3.139 * [taylor]: Taking taylor expansion of re in re 3.139 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.139 * [taylor]: Taking taylor expansion of -1 in re 3.139 * [taylor]: Taking taylor expansion of re in re 3.139 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.139 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.139 * [taylor]: Taking taylor expansion of -1 in re 3.139 * [taylor]: Taking taylor expansion of im in re 3.139 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.140 * [taylor]: Taking taylor expansion of -1 in re 3.140 * [taylor]: Taking taylor expansion of im in re 3.142 * [taylor]: Taking taylor expansion of 2 in im 3.143 * [taylor]: Taking taylor expansion of 0 in im 3.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.146 * [taylor]: Taking taylor expansion of 1/2 in im 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.146 * [taylor]: Taking taylor expansion of im in im 3.151 * [taylor]: Taking taylor expansion of 0 in im 3.153 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 3.153 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 3.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 3.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.153 * [taylor]: Taking taylor expansion of 2.0 in im 3.154 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 3.154 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 3.154 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.154 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.154 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.154 * [taylor]: Taking taylor expansion of (* re re) in im 3.154 * [taylor]: Taking taylor expansion of re in im 3.154 * [taylor]: Taking taylor expansion of re in im 3.154 * [taylor]: Taking taylor expansion of (* im im) in im 3.154 * [taylor]: Taking taylor expansion of im in im 3.154 * [taylor]: Taking taylor expansion of im in im 3.155 * [taylor]: Taking taylor expansion of re in im 3.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 3.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.159 * [taylor]: Taking taylor expansion of 2.0 in re 3.160 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 3.160 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.160 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.160 * [taylor]: Taking taylor expansion of (* re re) in re 3.160 * [taylor]: Taking taylor expansion of re in re 3.160 * [taylor]: Taking taylor expansion of re in re 3.160 * [taylor]: Taking taylor expansion of (* im im) in re 3.160 * [taylor]: Taking taylor expansion of im in re 3.160 * [taylor]: Taking taylor expansion of im in re 3.161 * [taylor]: Taking taylor expansion of re in re 3.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 3.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.162 * [taylor]: Taking taylor expansion of 2.0 in re 3.163 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 3.163 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.163 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.163 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.163 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.163 * [taylor]: Taking taylor expansion of (* re re) in re 3.163 * [taylor]: Taking taylor expansion of re in re 3.163 * [taylor]: Taking taylor expansion of re in re 3.163 * [taylor]: Taking taylor expansion of (* im im) in re 3.163 * [taylor]: Taking taylor expansion of im in re 3.163 * [taylor]: Taking taylor expansion of im in re 3.164 * [taylor]: Taking taylor expansion of re in re 3.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.165 * [taylor]: Taking taylor expansion of 2.0 in im 3.166 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.166 * [taylor]: Taking taylor expansion of im in im 3.170 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 3.170 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.170 * [taylor]: Taking taylor expansion of 1/2 in im 3.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.170 * [taylor]: Taking taylor expansion of 2.0 in im 3.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.170 * [taylor]: Taking taylor expansion of im in im 3.190 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 3.190 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 3.190 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 3.190 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.190 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.191 * [taylor]: Taking taylor expansion of im in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.191 * [taylor]: Taking taylor expansion of im in im 3.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.194 * [taylor]: Taking taylor expansion of re in im 3.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.195 * [taylor]: Taking taylor expansion of 2.0 in im 3.196 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.196 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.196 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.196 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.196 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.196 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.196 * [taylor]: Taking taylor expansion of re in re 3.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.196 * [taylor]: Taking taylor expansion of re in re 3.197 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.197 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.197 * [taylor]: Taking taylor expansion of im in re 3.197 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.197 * [taylor]: Taking taylor expansion of im in re 3.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.199 * [taylor]: Taking taylor expansion of re in re 3.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.209 * [taylor]: Taking taylor expansion of 2.0 in re 3.210 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.210 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.210 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.210 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.210 * [taylor]: Taking taylor expansion of re in re 3.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.211 * [taylor]: Taking taylor expansion of re in re 3.211 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.211 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.211 * [taylor]: Taking taylor expansion of im in re 3.211 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.211 * [taylor]: Taking taylor expansion of im in re 3.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.213 * [taylor]: Taking taylor expansion of re in re 3.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.219 * [taylor]: Taking taylor expansion of 2.0 in re 3.220 * [taylor]: Taking taylor expansion of 0 in im 3.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.220 * [taylor]: Taking taylor expansion of +nan.0 in im 3.220 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.220 * [taylor]: Taking taylor expansion of 2.0 in im 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.221 * [taylor]: Taking taylor expansion of im in im 3.229 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.229 * [taylor]: Taking taylor expansion of +nan.0 in im 3.229 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.229 * [taylor]: Taking taylor expansion of 2.0 in im 3.229 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.229 * [taylor]: Taking taylor expansion of im in im 3.245 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.245 * [taylor]: Taking taylor expansion of +nan.0 in im 3.245 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.245 * [taylor]: Taking taylor expansion of 2.0 in im 3.246 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.246 * [taylor]: Taking taylor expansion of im in im 3.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.247 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.247 * [taylor]: Taking taylor expansion of +nan.0 in im 3.247 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.247 * [taylor]: Taking taylor expansion of 2.0 in im 3.248 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.248 * [taylor]: Taking taylor expansion of im in im 3.270 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 3.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 3.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.270 * [taylor]: Taking taylor expansion of 2.0 in im 3.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 3.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 3.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.271 * [taylor]: Taking taylor expansion of re in im 3.271 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.271 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.271 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.271 * [taylor]: Taking taylor expansion of -1 in im 3.271 * [taylor]: Taking taylor expansion of re in im 3.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.271 * [taylor]: Taking taylor expansion of -1 in im 3.271 * [taylor]: Taking taylor expansion of re in im 3.271 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.271 * [taylor]: Taking taylor expansion of -1 in im 3.271 * [taylor]: Taking taylor expansion of im in im 3.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.272 * [taylor]: Taking taylor expansion of -1 in im 3.272 * [taylor]: Taking taylor expansion of im in im 3.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 3.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.276 * [taylor]: Taking taylor expansion of 2.0 in re 3.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 3.277 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.277 * [taylor]: Taking taylor expansion of re in re 3.277 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.277 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.277 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.277 * [taylor]: Taking taylor expansion of -1 in re 3.277 * [taylor]: Taking taylor expansion of re in re 3.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.278 * [taylor]: Taking taylor expansion of -1 in re 3.278 * [taylor]: Taking taylor expansion of re in re 3.278 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.278 * [taylor]: Taking taylor expansion of -1 in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.278 * [taylor]: Taking taylor expansion of -1 in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 3.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.282 * [taylor]: Taking taylor expansion of 2.0 in re 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 3.282 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.283 * [taylor]: Taking taylor expansion of re in re 3.283 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.283 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.283 * [taylor]: Taking taylor expansion of -1 in re 3.283 * [taylor]: Taking taylor expansion of re in re 3.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.283 * [taylor]: Taking taylor expansion of -1 in re 3.283 * [taylor]: Taking taylor expansion of re in re 3.284 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.284 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.284 * [taylor]: Taking taylor expansion of -1 in re 3.284 * [taylor]: Taking taylor expansion of im in re 3.284 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.284 * [taylor]: Taking taylor expansion of -1 in re 3.284 * [taylor]: Taking taylor expansion of im in re 3.293 * [taylor]: Taking taylor expansion of 0 in im 3.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.294 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.294 * [taylor]: Taking taylor expansion of +nan.0 in im 3.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.295 * [taylor]: Taking taylor expansion of 2.0 in im 3.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.300 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.300 * [taylor]: Taking taylor expansion of +nan.0 in im 3.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.300 * [taylor]: Taking taylor expansion of 2.0 in im 3.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 3.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 3.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.309 * [taylor]: Taking taylor expansion of +nan.0 in im 3.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.309 * [taylor]: Taking taylor expansion of 2.0 in im 3.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.309 * [taylor]: Taking taylor expansion of im in im 3.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.310 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.310 * [taylor]: Taking taylor expansion of +nan.0 in im 3.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.310 * [taylor]: Taking taylor expansion of 2.0 in im 3.322 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 3.322 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 3.322 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.322 * [taylor]: Taking taylor expansion of +nan.0 in im 3.322 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.322 * [taylor]: Taking taylor expansion of 2.0 in im 3.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.323 * [taylor]: Taking taylor expansion of im in im 3.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.323 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.323 * [taylor]: Taking taylor expansion of +nan.0 in im 3.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.324 * [taylor]: Taking taylor expansion of 2.0 in im 3.336 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 3.336 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 3.336 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 3.336 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 3.336 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.336 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.336 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.336 * [taylor]: Taking taylor expansion of (* re re) in im 3.336 * [taylor]: Taking taylor expansion of re in im 3.336 * [taylor]: Taking taylor expansion of re in im 3.336 * [taylor]: Taking taylor expansion of (* im im) in im 3.336 * [taylor]: Taking taylor expansion of im in im 3.337 * [taylor]: Taking taylor expansion of im in im 3.338 * [taylor]: Taking taylor expansion of re in im 3.342 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 3.342 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.342 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.342 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.342 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.342 * [taylor]: Taking taylor expansion of (* re re) in re 3.342 * [taylor]: Taking taylor expansion of re in re 3.342 * [taylor]: Taking taylor expansion of re in re 3.342 * [taylor]: Taking taylor expansion of (* im im) in re 3.342 * [taylor]: Taking taylor expansion of im in re 3.342 * [taylor]: Taking taylor expansion of im in re 3.343 * [taylor]: Taking taylor expansion of re in re 3.344 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 3.344 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 3.344 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.344 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.344 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.344 * [taylor]: Taking taylor expansion of (* re re) in re 3.344 * [taylor]: Taking taylor expansion of re in re 3.344 * [taylor]: Taking taylor expansion of re in re 3.344 * [taylor]: Taking taylor expansion of (* im im) in re 3.344 * [taylor]: Taking taylor expansion of im in re 3.344 * [taylor]: Taking taylor expansion of im in re 3.345 * [taylor]: Taking taylor expansion of re in re 3.346 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.346 * [taylor]: Taking taylor expansion of im in im 3.347 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 3.347 * [taylor]: Taking taylor expansion of -1/2 in im 3.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.347 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.347 * [taylor]: Taking taylor expansion of im in im 3.354 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 3.354 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 3.354 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.354 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.355 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.355 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.355 * [taylor]: Taking taylor expansion of re in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.355 * [taylor]: Taking taylor expansion of re in im 3.355 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.355 * [taylor]: Taking taylor expansion of im in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.355 * [taylor]: Taking taylor expansion of im in im 3.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.358 * [taylor]: Taking taylor expansion of re in im 3.359 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.359 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.359 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.359 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.359 * [taylor]: Taking taylor expansion of re in re 3.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.360 * [taylor]: Taking taylor expansion of re in re 3.360 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.360 * [taylor]: Taking taylor expansion of im in re 3.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.360 * [taylor]: Taking taylor expansion of im in re 3.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.362 * [taylor]: Taking taylor expansion of re in re 3.368 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.368 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.368 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.368 * [taylor]: Taking taylor expansion of re in re 3.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.368 * [taylor]: Taking taylor expansion of re in re 3.369 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.369 * [taylor]: Taking taylor expansion of im in re 3.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.369 * [taylor]: Taking taylor expansion of im in re 3.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.376 * [taylor]: Taking taylor expansion of re in re 3.381 * [taylor]: Taking taylor expansion of 0 in im 3.382 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 3.382 * [taylor]: Taking taylor expansion of +nan.0 in im 3.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.382 * [taylor]: Taking taylor expansion of im in im 3.387 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 3.387 * [taylor]: Taking taylor expansion of +nan.0 in im 3.387 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.387 * [taylor]: Taking taylor expansion of im in im 3.397 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 3.397 * [taylor]: Taking taylor expansion of +nan.0 in im 3.397 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 3.397 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 3.397 * [taylor]: Taking taylor expansion of 1/8 in im 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.397 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.397 * [taylor]: Taking taylor expansion of im in im 3.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 3.398 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 3.398 * [taylor]: Taking taylor expansion of +nan.0 in im 3.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 3.398 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.398 * [taylor]: Taking taylor expansion of im in im 3.422 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 3.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 3.422 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 3.422 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.422 * [taylor]: Taking taylor expansion of re in im 3.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.423 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.423 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.423 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.423 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.423 * [taylor]: Taking taylor expansion of -1 in im 3.423 * [taylor]: Taking taylor expansion of re in im 3.423 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.423 * [taylor]: Taking taylor expansion of -1 in im 3.423 * [taylor]: Taking taylor expansion of re in im 3.423 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.423 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.423 * [taylor]: Taking taylor expansion of -1 in im 3.423 * [taylor]: Taking taylor expansion of im in im 3.423 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.423 * [taylor]: Taking taylor expansion of -1 in im 3.423 * [taylor]: Taking taylor expansion of im in im 3.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 3.427 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.427 * [taylor]: Taking taylor expansion of re in re 3.428 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.428 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.428 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.428 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.428 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.428 * [taylor]: Taking taylor expansion of -1 in re 3.428 * [taylor]: Taking taylor expansion of re in re 3.428 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.428 * [taylor]: Taking taylor expansion of -1 in re 3.428 * [taylor]: Taking taylor expansion of re in re 3.429 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.429 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.429 * [taylor]: Taking taylor expansion of -1 in re 3.429 * [taylor]: Taking taylor expansion of im in re 3.429 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.429 * [taylor]: Taking taylor expansion of -1 in re 3.429 * [taylor]: Taking taylor expansion of im in re 3.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 3.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.433 * [taylor]: Taking taylor expansion of re in re 3.433 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.433 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.433 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.433 * [taylor]: Taking taylor expansion of -1 in re 3.433 * [taylor]: Taking taylor expansion of re in re 3.433 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.433 * [taylor]: Taking taylor expansion of -1 in re 3.433 * [taylor]: Taking taylor expansion of re in re 3.434 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.434 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.434 * [taylor]: Taking taylor expansion of -1 in re 3.434 * [taylor]: Taking taylor expansion of im in re 3.434 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.434 * [taylor]: Taking taylor expansion of -1 in re 3.434 * [taylor]: Taking taylor expansion of im in re 3.438 * [taylor]: Taking taylor expansion of 0 in im 3.438 * [taylor]: Taking taylor expansion of +nan.0 in im 3.440 * [taylor]: Taking taylor expansion of +nan.0 in im 3.444 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 3.444 * [taylor]: Taking taylor expansion of +nan.0 in im 3.444 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 3.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.444 * [taylor]: Taking taylor expansion of 1/2 in im 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.445 * [taylor]: Taking taylor expansion of im in im 3.445 * [taylor]: Taking taylor expansion of +nan.0 in im 3.451 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 3.451 * [taylor]: Taking taylor expansion of +nan.0 in im 3.451 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 3.451 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 3.451 * [taylor]: Taking taylor expansion of +nan.0 in im 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.451 * [taylor]: Taking taylor expansion of im in im 3.452 * [taylor]: Taking taylor expansion of (- +nan.0) in im 3.452 * [taylor]: Taking taylor expansion of +nan.0 in im 3.465 * * * [progress]: simplifying candidates 3.466 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp 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)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (- (hypot re im) re) 2.0) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (- (hypot re im) re) 2.0) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (exp (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (- (hypot re im) re) 2.0) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 3.471 * * [simplify]: iteration 0 : 160 enodes (cost 1139 ) 3.494 * * [simplify]: iteration 1 : 351 enodes (cost 993 ) 3.566 * * [simplify]: iteration 2 : 1150 enodes (cost 892 ) 3.935 * * [simplify]: iteration done : 5001 enodes (cost 876 ) 3.935 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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)) (+ (* re re) (* (+ (hypot re im) re) (hypot re im))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ re (hypot re im)) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (- (hypot re im) re) 2.0) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (- (hypot re im) re) 2.0) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (exp (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* (- (hypot re im) re) 2.0) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (fabs (cbrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* re re) (* (+ (hypot re im) re) (hypot re im)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* +nan.0 (- im (* im (- re im))))) 0 (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re))) 3.936 * * * [progress]: adding candidates to table 4.140 * * [progress]: iteration 3 / 4 4.140 * * * [progress]: picking best candidate 4.158 * * * * [pick]: Picked # 4.158 * * * [progress]: localizing error 4.169 * * * [progress]: generating rewritten candidates 4.169 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 4.172 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 4.175 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.235 * * * [progress]: generating series expansions 4.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 4.235 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.235 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.235 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.235 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.235 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.235 * [taylor]: Taking taylor expansion of (* re re) in im 4.235 * [taylor]: Taking taylor expansion of re in im 4.235 * [taylor]: Taking taylor expansion of re in im 4.235 * [taylor]: Taking taylor expansion of (* im im) in im 4.235 * [taylor]: Taking taylor expansion of im in im 4.235 * [taylor]: Taking taylor expansion of im in im 4.236 * [taylor]: Taking taylor expansion of re in im 4.236 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.236 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.237 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.237 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.237 * [taylor]: Taking taylor expansion of (* re re) in re 4.237 * [taylor]: Taking taylor expansion of re in re 4.237 * [taylor]: Taking taylor expansion of re in re 4.237 * [taylor]: Taking taylor expansion of (* im im) in re 4.237 * [taylor]: Taking taylor expansion of im in re 4.237 * [taylor]: Taking taylor expansion of im in re 4.238 * [taylor]: Taking taylor expansion of re in re 4.238 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.238 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.238 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.238 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.238 * [taylor]: Taking taylor expansion of (* re re) in re 4.238 * [taylor]: Taking taylor expansion of re in re 4.238 * [taylor]: Taking taylor expansion of re in re 4.238 * [taylor]: Taking taylor expansion of (* im im) in re 4.238 * [taylor]: Taking taylor expansion of im in re 4.238 * [taylor]: Taking taylor expansion of im in re 4.239 * [taylor]: Taking taylor expansion of re in re 4.240 * [taylor]: Taking taylor expansion of im in im 4.240 * [taylor]: Taking taylor expansion of -1 in im 4.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.242 * [taylor]: Taking taylor expansion of 1/2 in im 4.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.242 * [taylor]: Taking taylor expansion of im in im 4.244 * [taylor]: Taking taylor expansion of 0 in im 4.246 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.246 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.246 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.246 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.246 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.246 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.246 * [taylor]: Taking taylor expansion of re in im 4.246 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.246 * [taylor]: Taking taylor expansion of re in im 4.246 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.246 * [taylor]: Taking taylor expansion of im in im 4.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.246 * [taylor]: Taking taylor expansion of im in im 4.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.249 * [taylor]: Taking taylor expansion of re in im 4.249 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.249 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.249 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.249 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.249 * [taylor]: Taking taylor expansion of re in re 4.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.250 * [taylor]: Taking taylor expansion of re in re 4.250 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.250 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.250 * [taylor]: Taking taylor expansion of im in re 4.250 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.250 * [taylor]: Taking taylor expansion of im in re 4.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.253 * [taylor]: Taking taylor expansion of re in re 4.253 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.253 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.253 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.253 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.253 * [taylor]: Taking taylor expansion of re in re 4.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.253 * [taylor]: Taking taylor expansion of re in re 4.254 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.254 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.254 * [taylor]: Taking taylor expansion of im in re 4.254 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.254 * [taylor]: Taking taylor expansion of im in re 4.260 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.260 * [taylor]: Taking taylor expansion of re in re 4.260 * [taylor]: Taking taylor expansion of 0 in im 4.261 * [taylor]: Taking taylor expansion of 0 in im 4.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.265 * [taylor]: Taking taylor expansion of 1/2 in im 4.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.265 * [taylor]: Taking taylor expansion of im in im 4.269 * [taylor]: Taking taylor expansion of 0 in im 4.271 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 4.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.271 * [taylor]: Taking taylor expansion of re in im 4.271 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.271 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.271 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.271 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.271 * [taylor]: Taking taylor expansion of -1 in im 4.271 * [taylor]: Taking taylor expansion of re in im 4.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.271 * [taylor]: Taking taylor expansion of -1 in im 4.271 * [taylor]: Taking taylor expansion of re in im 4.271 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.271 * [taylor]: Taking taylor expansion of -1 in im 4.271 * [taylor]: Taking taylor expansion of im in im 4.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.272 * [taylor]: Taking taylor expansion of -1 in im 4.272 * [taylor]: Taking taylor expansion of im in im 4.275 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.275 * [taylor]: Taking taylor expansion of re in re 4.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.275 * [taylor]: Taking taylor expansion of -1 in re 4.275 * [taylor]: Taking taylor expansion of re in re 4.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [taylor]: Taking taylor expansion of re in re 4.276 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [taylor]: Taking taylor expansion of im in re 4.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [taylor]: Taking taylor expansion of im in re 4.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.279 * [taylor]: Taking taylor expansion of re in re 4.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.279 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.279 * [taylor]: Taking taylor expansion of -1 in re 4.279 * [taylor]: Taking taylor expansion of re in re 4.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.279 * [taylor]: Taking taylor expansion of -1 in re 4.279 * [taylor]: Taking taylor expansion of re in re 4.280 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.280 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.280 * [taylor]: Taking taylor expansion of -1 in re 4.280 * [taylor]: Taking taylor expansion of im in re 4.280 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.280 * [taylor]: Taking taylor expansion of -1 in re 4.280 * [taylor]: Taking taylor expansion of im in re 4.283 * [taylor]: Taking taylor expansion of 2 in im 4.283 * [taylor]: Taking taylor expansion of 0 in im 4.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.286 * [taylor]: Taking taylor expansion of 1/2 in im 4.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.286 * [taylor]: Taking taylor expansion of im in im 4.291 * [taylor]: Taking taylor expansion of 0 in im 4.293 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 4.293 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.293 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.293 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.293 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.293 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.293 * [taylor]: Taking taylor expansion of (* re re) in im 4.293 * [taylor]: Taking taylor expansion of re in im 4.293 * [taylor]: Taking taylor expansion of re in im 4.293 * [taylor]: Taking taylor expansion of (* im im) in im 4.293 * [taylor]: Taking taylor expansion of im in im 4.293 * [taylor]: Taking taylor expansion of im in im 4.294 * [taylor]: Taking taylor expansion of re in im 4.294 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.294 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.294 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.294 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.294 * [taylor]: Taking taylor expansion of (* re re) in re 4.294 * [taylor]: Taking taylor expansion of re in re 4.294 * [taylor]: Taking taylor expansion of re in re 4.294 * [taylor]: Taking taylor expansion of (* im im) in re 4.294 * [taylor]: Taking taylor expansion of im in re 4.295 * [taylor]: Taking taylor expansion of im in re 4.296 * [taylor]: Taking taylor expansion of re in re 4.296 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.296 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.296 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.296 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.296 * [taylor]: Taking taylor expansion of (* re re) in re 4.296 * [taylor]: Taking taylor expansion of re in re 4.296 * [taylor]: Taking taylor expansion of re in re 4.296 * [taylor]: Taking taylor expansion of (* im im) in re 4.296 * [taylor]: Taking taylor expansion of im in re 4.296 * [taylor]: Taking taylor expansion of im in re 4.297 * [taylor]: Taking taylor expansion of re in re 4.297 * [taylor]: Taking taylor expansion of im in im 4.298 * [taylor]: Taking taylor expansion of -1 in im 4.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.299 * [taylor]: Taking taylor expansion of 1/2 in im 4.299 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.299 * [taylor]: Taking taylor expansion of im in im 4.302 * [taylor]: Taking taylor expansion of 0 in im 4.303 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.303 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.303 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.303 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.303 * [taylor]: Taking taylor expansion of re in im 4.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.304 * [taylor]: Taking taylor expansion of re in im 4.304 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.304 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.304 * [taylor]: Taking taylor expansion of im in im 4.304 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.304 * [taylor]: Taking taylor expansion of im in im 4.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.307 * [taylor]: Taking taylor expansion of re in im 4.307 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.307 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.307 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.307 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.307 * [taylor]: Taking taylor expansion of re in re 4.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.307 * [taylor]: Taking taylor expansion of re in re 4.307 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.307 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.307 * [taylor]: Taking taylor expansion of im in re 4.307 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.307 * [taylor]: Taking taylor expansion of im in re 4.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.310 * [taylor]: Taking taylor expansion of re in re 4.310 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.310 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.310 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.310 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.310 * [taylor]: Taking taylor expansion of re in re 4.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.311 * [taylor]: Taking taylor expansion of re in re 4.311 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.311 * [taylor]: Taking taylor expansion of im in re 4.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.311 * [taylor]: Taking taylor expansion of im in re 4.313 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.313 * [taylor]: Taking taylor expansion of re in re 4.314 * [taylor]: Taking taylor expansion of 0 in im 4.315 * [taylor]: Taking taylor expansion of 0 in im 4.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.318 * [taylor]: Taking taylor expansion of 1/2 in im 4.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.318 * [taylor]: Taking taylor expansion of im in im 4.323 * [taylor]: Taking taylor expansion of 0 in im 4.325 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 4.325 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.325 * [taylor]: Taking taylor expansion of re in im 4.325 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.325 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.325 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.325 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.325 * [taylor]: Taking taylor expansion of -1 in im 4.325 * [taylor]: Taking taylor expansion of re in im 4.325 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.325 * [taylor]: Taking taylor expansion of -1 in im 4.325 * [taylor]: Taking taylor expansion of re in im 4.325 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.325 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.325 * [taylor]: Taking taylor expansion of -1 in im 4.325 * [taylor]: Taking taylor expansion of im in im 4.325 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.325 * [taylor]: Taking taylor expansion of -1 in im 4.325 * [taylor]: Taking taylor expansion of im in im 4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.328 * [taylor]: Taking taylor expansion of re in re 4.329 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.329 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.329 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.329 * [taylor]: Taking taylor expansion of -1 in re 4.329 * [taylor]: Taking taylor expansion of re in re 4.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.329 * [taylor]: Taking taylor expansion of -1 in re 4.329 * [taylor]: Taking taylor expansion of re in re 4.329 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.329 * [taylor]: Taking taylor expansion of -1 in re 4.329 * [taylor]: Taking taylor expansion of im in re 4.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.329 * [taylor]: Taking taylor expansion of -1 in re 4.329 * [taylor]: Taking taylor expansion of im in re 4.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.332 * [taylor]: Taking taylor expansion of re in re 4.332 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.332 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.332 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.332 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.333 * [taylor]: Taking taylor expansion of -1 in re 4.333 * [taylor]: Taking taylor expansion of re in re 4.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.333 * [taylor]: Taking taylor expansion of -1 in re 4.333 * [taylor]: Taking taylor expansion of re in re 4.333 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.333 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.333 * [taylor]: Taking taylor expansion of -1 in re 4.333 * [taylor]: Taking taylor expansion of im in re 4.333 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.333 * [taylor]: Taking taylor expansion of -1 in re 4.333 * [taylor]: Taking taylor expansion of im in re 4.336 * [taylor]: Taking taylor expansion of 2 in im 4.337 * [taylor]: Taking taylor expansion of 0 in im 4.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.346 * [taylor]: Taking taylor expansion of 1/2 in im 4.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.346 * [taylor]: Taking taylor expansion of im in im 4.351 * [taylor]: Taking taylor expansion of 0 in im 4.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.353 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (- (hypot re im) re) 1/4)) in (re im) around 0 4.353 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (- (hypot re im) re) 1/4)) in im 4.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.353 * [taylor]: Taking taylor expansion of 2.0 in im 4.353 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in im 4.353 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in im 4.353 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in im 4.353 * [taylor]: Taking taylor expansion of 1/4 in im 4.353 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 4.353 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.353 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.354 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.354 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.354 * [taylor]: Taking taylor expansion of (* re re) in im 4.354 * [taylor]: Taking taylor expansion of re in im 4.354 * [taylor]: Taking taylor expansion of re in im 4.354 * [taylor]: Taking taylor expansion of (* im im) in im 4.354 * [taylor]: Taking taylor expansion of im in im 4.354 * [taylor]: Taking taylor expansion of im in im 4.355 * [taylor]: Taking taylor expansion of re in im 4.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (- (hypot re im) re) 1/4)) in re 4.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.358 * [taylor]: Taking taylor expansion of 2.0 in re 4.358 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 4.358 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 4.358 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 4.358 * [taylor]: Taking taylor expansion of 1/4 in re 4.358 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 4.358 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.358 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.359 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.359 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.359 * [taylor]: Taking taylor expansion of (* re re) in re 4.359 * [taylor]: Taking taylor expansion of re in re 4.359 * [taylor]: Taking taylor expansion of re in re 4.359 * [taylor]: Taking taylor expansion of (* im im) in re 4.359 * [taylor]: Taking taylor expansion of im in re 4.359 * [taylor]: Taking taylor expansion of im in re 4.360 * [taylor]: Taking taylor expansion of re in re 4.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (- (hypot re im) re) 1/4)) in re 4.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.360 * [taylor]: Taking taylor expansion of 2.0 in re 4.361 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/4) in re 4.361 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot re im) re)))) in re 4.361 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot re im) re))) in re 4.361 * [taylor]: Taking taylor expansion of 1/4 in re 4.361 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 4.361 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.361 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.361 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.361 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.361 * [taylor]: Taking taylor expansion of (* re re) in re 4.361 * [taylor]: Taking taylor expansion of re in re 4.361 * [taylor]: Taking taylor expansion of re in re 4.361 * [taylor]: Taking taylor expansion of (* im im) in re 4.361 * [taylor]: Taking taylor expansion of im in re 4.361 * [taylor]: Taking taylor expansion of im in re 4.362 * [taylor]: Taking taylor expansion of re in re 4.363 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow im 1/4)) in im 4.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.363 * [taylor]: Taking taylor expansion of 2.0 in im 4.364 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 4.364 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 4.364 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 4.364 * [taylor]: Taking taylor expansion of 1/4 in im 4.364 * [taylor]: Taking taylor expansion of (log im) in im 4.364 * [taylor]: Taking taylor expansion of im in im 4.367 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (sqrt 2.0) (pow (/ 1 (pow im 3)) 1/4)))) in im 4.367 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt 2.0) (pow (/ 1 (pow im 3)) 1/4))) in im 4.367 * [taylor]: Taking taylor expansion of 1/4 in im 4.367 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow im 3)) 1/4)) in im 4.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.367 * [taylor]: Taking taylor expansion of 2.0 in im 4.368 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 4.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 4.368 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 4.368 * [taylor]: Taking taylor expansion of 1/4 in im 4.368 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 4.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.368 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.368 * [taylor]: Taking taylor expansion of im in im 4.379 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt 2.0) (pow (/ 1 (pow im 7)) 1/4))) in im 4.379 * [taylor]: Taking taylor expansion of 1/32 in im 4.379 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (/ 1 (pow im 7)) 1/4)) in im 4.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.379 * [taylor]: Taking taylor expansion of 2.0 in im 4.379 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 4.379 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 4.379 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 4.379 * [taylor]: Taking taylor expansion of 1/4 in im 4.379 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 4.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 4.379 * [taylor]: Taking taylor expansion of (pow im 7) in im 4.379 * [taylor]: Taking taylor expansion of im in im 4.384 * [approximate]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt 2.0)) in (re im) around 0 4.384 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt 2.0)) in im 4.384 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in im 4.384 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 4.384 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 4.384 * [taylor]: Taking taylor expansion of 1/4 in im 4.384 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 4.384 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.384 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.384 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.384 * [taylor]: Taking taylor expansion of re in im 4.384 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.384 * [taylor]: Taking taylor expansion of re in im 4.385 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.385 * [taylor]: Taking taylor expansion of im in im 4.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.385 * [taylor]: Taking taylor expansion of im in im 4.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.388 * [taylor]: Taking taylor expansion of re in im 4.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.388 * [taylor]: Taking taylor expansion of 2.0 in im 4.389 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt 2.0)) in re 4.389 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 4.389 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 4.389 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 4.389 * [taylor]: Taking taylor expansion of 1/4 in re 4.389 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 4.389 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.389 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.389 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.389 * [taylor]: Taking taylor expansion of re in re 4.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.390 * [taylor]: Taking taylor expansion of re in re 4.390 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.390 * [taylor]: Taking taylor expansion of im in re 4.390 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.390 * [taylor]: Taking taylor expansion of im in re 4.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.393 * [taylor]: Taking taylor expansion of re in re 4.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.398 * [taylor]: Taking taylor expansion of 2.0 in re 4.398 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) (sqrt 2.0)) in re 4.399 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/4) in re 4.399 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 4.399 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 4.399 * [taylor]: Taking taylor expansion of 1/4 in re 4.399 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 4.399 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.399 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.399 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.399 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.399 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.399 * [taylor]: Taking taylor expansion of re in re 4.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.399 * [taylor]: Taking taylor expansion of re in re 4.399 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.399 * [taylor]: Taking taylor expansion of im in re 4.399 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.399 * [taylor]: Taking taylor expansion of im in re 4.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.402 * [taylor]: Taking taylor expansion of re in re 4.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.407 * [taylor]: Taking taylor expansion of 2.0 in re 4.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 4.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.408 * [taylor]: Taking taylor expansion of 2.0 in im 4.409 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 4.409 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 4.409 * [taylor]: Taking taylor expansion of 1/4 in im 4.409 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 4.409 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 4.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.409 * [taylor]: Taking taylor expansion of 1/2 in im 4.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.409 * [taylor]: Taking taylor expansion of im in im 4.410 * [taylor]: Taking taylor expansion of (log re) in im 4.410 * [taylor]: Taking taylor expansion of re in im 4.418 * [taylor]: Taking taylor expansion of 0 in im 4.436 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ (* (sqrt 2.0) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) (pow im 2)))) in im 4.436 * [taylor]: Taking taylor expansion of (* 1/16 (/ (* (sqrt 2.0) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) (pow im 2))) in im 4.436 * [taylor]: Taking taylor expansion of 1/16 in im 4.436 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) (pow im 2)) in im 4.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))))) in im 4.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.436 * [taylor]: Taking taylor expansion of 2.0 in im 4.437 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 4.437 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 4.437 * [taylor]: Taking taylor expansion of 1/4 in im 4.437 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 4.437 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 4.437 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.437 * [taylor]: Taking taylor expansion of 1/2 in im 4.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.437 * [taylor]: Taking taylor expansion of im in im 4.438 * [taylor]: Taking taylor expansion of (log re) in im 4.438 * [taylor]: Taking taylor expansion of re in im 4.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.440 * [taylor]: Taking taylor expansion of im in im 4.474 * [taylor]: Taking taylor expansion of 0 in im 4.475 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in (re im) around 0 4.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in im 4.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.475 * [taylor]: Taking taylor expansion of 2.0 in im 4.476 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in im 4.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 4.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 4.476 * [taylor]: Taking taylor expansion of 1/4 in im 4.476 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 4.476 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.476 * [taylor]: Taking taylor expansion of re in im 4.476 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.476 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.476 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.476 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.476 * [taylor]: Taking taylor expansion of -1 in im 4.476 * [taylor]: Taking taylor expansion of re in im 4.476 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.476 * [taylor]: Taking taylor expansion of -1 in im 4.476 * [taylor]: Taking taylor expansion of re in im 4.476 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.476 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.476 * [taylor]: Taking taylor expansion of -1 in im 4.476 * [taylor]: Taking taylor expansion of im in im 4.477 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.477 * [taylor]: Taking taylor expansion of -1 in im 4.477 * [taylor]: Taking taylor expansion of im in im 4.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 4.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.480 * [taylor]: Taking taylor expansion of 2.0 in re 4.481 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 4.481 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 4.481 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 4.481 * [taylor]: Taking taylor expansion of 1/4 in re 4.481 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 4.481 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.481 * [taylor]: Taking taylor expansion of re in re 4.481 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.481 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.481 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.481 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.481 * [taylor]: Taking taylor expansion of -1 in re 4.481 * [taylor]: Taking taylor expansion of re in re 4.482 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.482 * [taylor]: Taking taylor expansion of -1 in re 4.482 * [taylor]: Taking taylor expansion of re in re 4.482 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.482 * [taylor]: Taking taylor expansion of -1 in re 4.482 * [taylor]: Taking taylor expansion of im in re 4.482 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.482 * [taylor]: Taking taylor expansion of -1 in re 4.482 * [taylor]: Taking taylor expansion of im in re 4.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4)) in re 4.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.486 * [taylor]: Taking taylor expansion of 2.0 in re 4.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/4) in re 4.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 4.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 4.487 * [taylor]: Taking taylor expansion of 1/4 in re 4.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.487 * [taylor]: Taking taylor expansion of re in re 4.487 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.488 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.488 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 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 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 4.493 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt 2.0)) in im 4.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 4.493 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 4.493 * [taylor]: Taking taylor expansion of 1/4 in im 4.493 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 4.493 * [taylor]: Taking taylor expansion of (log 2) in im 4.493 * [taylor]: Taking taylor expansion of 2 in im 4.493 * [taylor]: Taking taylor expansion of (log re) in im 4.493 * [taylor]: Taking taylor expansion of re in im 4.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.494 * [taylor]: Taking taylor expansion of 2.0 in im 4.500 * [taylor]: Taking taylor expansion of 0 in im 4.511 * [taylor]: Taking taylor expansion of (* 1/16 (/ (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt 2.0)) (pow im 2))) in im 4.511 * [taylor]: Taking taylor expansion of 1/16 in im 4.511 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt 2.0)) (pow im 2)) in im 4.511 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log 2) (log re)))) (sqrt 2.0)) in im 4.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 4.511 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 4.511 * [taylor]: Taking taylor expansion of 1/4 in im 4.511 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 4.511 * [taylor]: Taking taylor expansion of (log 2) in im 4.511 * [taylor]: Taking taylor expansion of 2 in im 4.512 * [taylor]: Taking taylor expansion of (log re) in im 4.512 * [taylor]: Taking taylor expansion of re in im 4.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.513 * [taylor]: Taking taylor expansion of 2.0 in im 4.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.513 * [taylor]: Taking taylor expansion of im in im 4.550 * [taylor]: Taking taylor expansion of 0 in im 4.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.551 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 4.551 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 4.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.551 * [taylor]: Taking taylor expansion of 2.0 in im 4.552 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 4.552 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.552 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.552 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.552 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.552 * [taylor]: Taking taylor expansion of (* re re) in im 4.552 * [taylor]: Taking taylor expansion of re in im 4.552 * [taylor]: Taking taylor expansion of re in im 4.552 * [taylor]: Taking taylor expansion of (* im im) in im 4.552 * [taylor]: Taking taylor expansion of im in im 4.552 * [taylor]: Taking taylor expansion of im in im 4.553 * [taylor]: Taking taylor expansion of re in im 4.557 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 4.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.557 * [taylor]: Taking taylor expansion of 2.0 in re 4.558 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 4.558 * [taylor]: Taking taylor expansion of (- (hypot re im) re) 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 re in re 4.560 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 4.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.560 * [taylor]: Taking taylor expansion of 2.0 in re 4.561 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 4.561 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.561 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.561 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.561 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.561 * [taylor]: Taking taylor expansion of (* re re) in re 4.561 * [taylor]: Taking taylor expansion of re in re 4.561 * [taylor]: Taking taylor expansion of re in re 4.561 * [taylor]: Taking taylor expansion of (* im im) in re 4.561 * [taylor]: Taking taylor expansion of im in re 4.561 * [taylor]: Taking taylor expansion of im in re 4.562 * [taylor]: Taking taylor expansion of re in re 4.563 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 4.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.563 * [taylor]: Taking taylor expansion of 2.0 in im 4.564 * [taylor]: Taking taylor expansion of (sqrt im) in im 4.564 * [taylor]: Taking taylor expansion of im in im 4.567 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 4.567 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 4.568 * [taylor]: Taking taylor expansion of 1/2 in im 4.568 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 4.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.568 * [taylor]: Taking taylor expansion of 2.0 in im 4.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 4.568 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.568 * [taylor]: Taking taylor expansion of im in im 4.589 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 4.589 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 4.589 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 4.589 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.589 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 4.589 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.589 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.589 * [taylor]: Taking taylor expansion of re in im 4.589 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.589 * [taylor]: Taking taylor expansion of re in im 4.589 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.589 * [taylor]: Taking taylor expansion of im in im 4.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.589 * [taylor]: Taking taylor expansion of im in im 4.592 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.592 * [taylor]: Taking taylor expansion of re in im 4.593 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.593 * [taylor]: Taking taylor expansion of 2.0 in im 4.594 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.594 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 4.594 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.594 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.594 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.594 * [taylor]: Taking taylor expansion of re in re 4.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.595 * [taylor]: Taking taylor expansion of re in re 4.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.595 * [taylor]: Taking taylor expansion of im in re 4.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.595 * [taylor]: Taking taylor expansion of im in re 4.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.598 * [taylor]: Taking taylor expansion of re in re 4.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.603 * [taylor]: Taking taylor expansion of 2.0 in re 4.604 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.604 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 4.604 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.604 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.604 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.604 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.604 * [taylor]: Taking taylor expansion of re in re 4.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.604 * [taylor]: Taking taylor expansion of re in re 4.605 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.605 * [taylor]: Taking taylor expansion of im in re 4.605 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.605 * [taylor]: Taking taylor expansion of im in re 4.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.613 * [taylor]: Taking taylor expansion of re in re 4.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.618 * [taylor]: Taking taylor expansion of 2.0 in re 4.619 * [taylor]: Taking taylor expansion of 0 in im 4.620 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.620 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.620 * [taylor]: Taking taylor expansion of +nan.0 in im 4.620 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.620 * [taylor]: Taking taylor expansion of 2.0 in im 4.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.621 * [taylor]: Taking taylor expansion of im in im 4.628 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 4.628 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.628 * [taylor]: Taking taylor expansion of +nan.0 in im 4.628 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.628 * [taylor]: Taking taylor expansion of 2.0 in im 4.629 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.629 * [taylor]: Taking taylor expansion of im in im 4.645 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 4.645 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 4.645 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.645 * [taylor]: Taking taylor expansion of +nan.0 in im 4.645 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.645 * [taylor]: Taking taylor expansion of 2.0 in im 4.646 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.646 * [taylor]: Taking taylor expansion of im in im 4.647 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 4.647 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 4.647 * [taylor]: Taking taylor expansion of +nan.0 in im 4.647 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 4.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.647 * [taylor]: Taking taylor expansion of 2.0 in im 4.648 * [taylor]: Taking taylor expansion of (pow im 6) in im 4.648 * [taylor]: Taking taylor expansion of im in im 4.670 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 4.670 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 4.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.670 * [taylor]: Taking taylor expansion of 2.0 in im 4.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.671 * [taylor]: Taking taylor expansion of re in im 4.671 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.671 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.671 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.671 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.671 * [taylor]: Taking taylor expansion of -1 in im 4.671 * [taylor]: Taking taylor expansion of re in im 4.671 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.671 * [taylor]: Taking taylor expansion of -1 in im 4.672 * [taylor]: Taking taylor expansion of re in im 4.672 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.672 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.672 * [taylor]: Taking taylor expansion of -1 in im 4.672 * [taylor]: Taking taylor expansion of im in im 4.672 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.672 * [taylor]: Taking taylor expansion of -1 in im 4.672 * [taylor]: Taking taylor expansion of im in im 4.676 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 4.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.676 * [taylor]: Taking taylor expansion of 2.0 in re 4.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 4.677 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.677 * [taylor]: Taking taylor expansion of re in re 4.677 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.677 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.677 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.677 * [taylor]: Taking taylor expansion of -1 in re 4.677 * [taylor]: Taking taylor expansion of re in re 4.678 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.678 * [taylor]: Taking taylor expansion of -1 in re 4.678 * [taylor]: Taking taylor expansion of re in re 4.678 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.678 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.678 * [taylor]: Taking taylor expansion of -1 in re 4.678 * [taylor]: Taking taylor expansion of im in re 4.678 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.678 * [taylor]: Taking taylor expansion of -1 in re 4.678 * [taylor]: Taking taylor expansion of im in re 4.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 4.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.682 * [taylor]: Taking taylor expansion of 2.0 in re 4.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 4.683 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.683 * [taylor]: Taking taylor expansion of re in re 4.683 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.683 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.683 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.683 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.683 * [taylor]: Taking taylor expansion of -1 in re 4.683 * [taylor]: Taking taylor expansion of re in re 4.683 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.683 * [taylor]: Taking taylor expansion of -1 in re 4.683 * [taylor]: Taking taylor expansion of re in re 4.684 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.684 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.684 * [taylor]: Taking taylor expansion of -1 in re 4.684 * [taylor]: Taking taylor expansion of im in re 4.684 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.684 * [taylor]: Taking taylor expansion of -1 in re 4.684 * [taylor]: Taking taylor expansion of im in re 4.688 * [taylor]: Taking taylor expansion of 0 in im 4.695 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.695 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.695 * [taylor]: Taking taylor expansion of +nan.0 in im 4.695 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.695 * [taylor]: Taking taylor expansion of 2.0 in im 4.701 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.701 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.701 * [taylor]: Taking taylor expansion of +nan.0 in im 4.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.701 * [taylor]: Taking taylor expansion of 2.0 in im 4.709 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 4.710 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 4.710 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.710 * [taylor]: Taking taylor expansion of +nan.0 in im 4.710 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.710 * [taylor]: Taking taylor expansion of 2.0 in im 4.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.710 * [taylor]: Taking taylor expansion of im in im 4.711 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.711 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.711 * [taylor]: Taking taylor expansion of +nan.0 in im 4.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.711 * [taylor]: Taking taylor expansion of 2.0 in im 4.722 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 4.722 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 4.723 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.723 * [taylor]: Taking taylor expansion of +nan.0 in im 4.723 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.723 * [taylor]: Taking taylor expansion of 2.0 in im 4.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.723 * [taylor]: Taking taylor expansion of im in im 4.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.724 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.724 * [taylor]: Taking taylor expansion of +nan.0 in im 4.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.724 * [taylor]: Taking taylor expansion of 2.0 in im 4.737 * * * [progress]: simplifying candidates 4.739 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt 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(sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt 2.0))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (- (+ (* 1/32 (* (* (sqrt 2.0) (pow re 2)) (pow (/ 1 (pow im 7)) 1/4))) (* (sqrt 2.0) (pow im 1/4))) (* 1/4 (* (* (sqrt 2.0) re) (pow (/ 1 (pow im 3)) 1/4)))) (* (sqrt 2.0) (exp (* 1/4 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im))))))) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt 2.0)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 4.747 * * [simplify]: iteration 0 : 216 enodes (cost 2495 ) 4.788 * * [simplify]: iteration 1 : 498 enodes (cost 2006 ) 4.892 * * [simplify]: iteration 2 : 1579 enodes (cost 1729 ) 5.323 * * [simplify]: iteration done : 5000 enodes (cost 1727 ) 5.324 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 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(sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (fabs (cbrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (cbrt (sqrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (sqrt (cbrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0)) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt 2.0)) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (- (hypot re im) re) 2.0) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (- (hypot re im) re) 2.0) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (exp (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* (- (hypot re im) re) 2.0) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt (fma (hypot re im) (hypot re im) (* re (+ (hypot re im) re)))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0))) (* (sqrt (sqrt (fma (hypot re im) (hypot re im) (* re (+ (hypot re im) re))))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0))) (* (sqrt (sqrt (fma (hypot re im) (hypot re im) (* re (+ (hypot re im) re))))) (sqrt (sqrt (+ (hypot re im) re)))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (sqrt (+ (hypot re im) re)) (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (cbrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (cbrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (- (sqrt (hypot re im)) (sqrt re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt 2.0))) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) (fma (* 1/32 (* (sqrt 2.0) (pow re 2))) (pow (/ 1 (pow im 7)) 1/4) (fma (sqrt 2.0) (pow im 1/4) (* (* (* (sqrt 2.0) re) (pow (/ 1 (pow im 3)) 1/4)) -1/4))) (* (pow (exp 1/4) (- (- (log 1/2) (log re)) (* 2 (- (log im))))) (sqrt 2.0)) (* (exp (* 1/4 (- (log 2) (log (/ -1 re))))) (sqrt 2.0)) (- (* (* +nan.0 (sqrt 2.0)) (- im (* im re))) (* +nan.0 (* (sqrt 2.0) (pow im 2)))) 0 (- (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re))) (* +nan.0 (sqrt 2.0))) 5.325 * * * [progress]: adding candidates to table 5.726 * * [progress]: iteration 4 / 4 5.726 * * * [progress]: picking best candidate 5.749 * * * * [pick]: Picked # 5.750 * * * [progress]: localizing error 5.760 * * * [progress]: generating rewritten candidates 5.760 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 5.767 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.812 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.821 * * * [progress]: generating series expansions 5.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 5.821 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 5.821 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 5.821 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.821 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.821 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.821 * [taylor]: Taking taylor expansion of (* re re) in im 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [taylor]: Taking taylor expansion of (* im im) in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.823 * [taylor]: Taking taylor expansion of re in im 5.823 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 5.823 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.823 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.823 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.823 * [taylor]: Taking taylor expansion of (* re re) in re 5.823 * [taylor]: Taking taylor expansion of re in re 5.823 * [taylor]: Taking taylor expansion of re in re 5.823 * [taylor]: Taking taylor expansion of (* im im) in re 5.823 * [taylor]: Taking taylor expansion of im in re 5.823 * [taylor]: Taking taylor expansion of im in re 5.824 * [taylor]: Taking taylor expansion of re in re 5.824 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 5.824 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.824 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.824 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.824 * [taylor]: Taking taylor expansion of (* re re) in re 5.824 * [taylor]: Taking taylor expansion of re in re 5.824 * [taylor]: Taking taylor expansion of re in re 5.824 * [taylor]: Taking taylor expansion of (* im im) in re 5.824 * [taylor]: Taking taylor expansion of im in re 5.824 * [taylor]: Taking taylor expansion of im in re 5.825 * [taylor]: Taking taylor expansion of re in re 5.826 * [taylor]: Taking taylor expansion of im in im 5.826 * [taylor]: Taking taylor expansion of -1 in im 5.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.828 * [taylor]: Taking taylor expansion of 1/2 in im 5.828 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.828 * [taylor]: Taking taylor expansion of im in im 5.831 * [taylor]: Taking taylor expansion of 0 in im 5.832 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 5.832 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.832 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.832 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.832 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.832 * [taylor]: Taking taylor expansion of re in im 5.832 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.832 * [taylor]: Taking taylor expansion of re in im 5.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.832 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.832 * [taylor]: Taking taylor expansion of im in im 5.832 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.832 * [taylor]: Taking taylor expansion of im in im 5.835 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.835 * [taylor]: Taking taylor expansion of re in im 5.835 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.835 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.835 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.835 * [taylor]: Taking taylor expansion of re in re 5.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.836 * [taylor]: Taking taylor expansion of re in re 5.836 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.836 * [taylor]: Taking taylor expansion of im in re 5.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.836 * [taylor]: Taking taylor expansion of im in re 5.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.839 * [taylor]: Taking taylor expansion of re in re 5.839 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.839 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.839 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.839 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.839 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.839 * [taylor]: Taking taylor expansion of re in re 5.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.839 * [taylor]: Taking taylor expansion of re in re 5.839 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.840 * [taylor]: Taking taylor expansion of im in re 5.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.840 * [taylor]: Taking taylor expansion of im in re 5.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.846 * [taylor]: Taking taylor expansion of re in re 5.847 * [taylor]: Taking taylor expansion of 0 in im 5.847 * [taylor]: Taking taylor expansion of 0 in im 5.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.851 * [taylor]: Taking taylor expansion of 1/2 in im 5.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.851 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.851 * [taylor]: Taking taylor expansion of im in im 5.856 * [taylor]: Taking taylor expansion of 0 in im 5.857 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 5.857 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 5.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.857 * [taylor]: Taking taylor expansion of re in im 5.858 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.858 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.858 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.858 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.858 * [taylor]: Taking taylor expansion of -1 in im 5.858 * [taylor]: Taking taylor expansion of re in im 5.858 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.858 * [taylor]: Taking taylor expansion of -1 in im 5.858 * [taylor]: Taking taylor expansion of re in im 5.858 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.858 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.858 * [taylor]: Taking taylor expansion of -1 in im 5.858 * [taylor]: Taking taylor expansion of im in im 5.858 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.858 * [taylor]: Taking taylor expansion of -1 in im 5.858 * [taylor]: Taking taylor expansion of im in im 5.861 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 5.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.861 * [taylor]: Taking taylor expansion of re in re 5.861 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.862 * [taylor]: Taking taylor expansion of -1 in re 5.862 * [taylor]: Taking taylor expansion of re in re 5.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.862 * [taylor]: Taking taylor expansion of -1 in re 5.862 * [taylor]: Taking taylor expansion of re in re 5.862 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.862 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.862 * [taylor]: Taking taylor expansion of -1 in re 5.862 * [taylor]: Taking taylor expansion of im in re 5.862 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.862 * [taylor]: Taking taylor expansion of -1 in re 5.862 * [taylor]: Taking taylor expansion of im in re 5.865 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 5.865 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.865 * [taylor]: Taking taylor expansion of re in re 5.865 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.865 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.865 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.865 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.866 * [taylor]: Taking taylor expansion of -1 in re 5.866 * [taylor]: Taking taylor expansion of re in re 5.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.866 * [taylor]: Taking taylor expansion of -1 in re 5.866 * [taylor]: Taking taylor expansion of re in re 5.866 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.866 * [taylor]: Taking taylor expansion of -1 in re 5.866 * [taylor]: Taking taylor expansion of im in re 5.866 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.866 * [taylor]: Taking taylor expansion of -1 in re 5.866 * [taylor]: Taking taylor expansion of im in re 5.869 * [taylor]: Taking taylor expansion of 2 in im 5.870 * [taylor]: Taking taylor expansion of 0 in im 5.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.873 * [taylor]: Taking taylor expansion of 1/2 in im 5.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.873 * [taylor]: Taking taylor expansion of im in im 5.878 * [taylor]: Taking taylor expansion of 0 in im 5.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.880 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in (re im) around 0 5.880 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in im 5.880 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in im 5.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.880 * [taylor]: Taking taylor expansion of 2.0 in im 5.881 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 5.881 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.881 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.881 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.881 * [taylor]: Taking taylor expansion of (* re re) in im 5.881 * [taylor]: Taking taylor expansion of re in im 5.881 * [taylor]: Taking taylor expansion of re in im 5.881 * [taylor]: Taking taylor expansion of (* im im) in im 5.881 * [taylor]: Taking taylor expansion of im in im 5.881 * [taylor]: Taking taylor expansion of im in im 5.883 * [taylor]: Taking taylor expansion of re in im 5.890 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in re 5.890 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 5.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.890 * [taylor]: Taking taylor expansion of 2.0 in re 5.891 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 5.891 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.891 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.891 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.891 * [taylor]: Taking taylor expansion of (* re re) in re 5.891 * [taylor]: Taking taylor expansion of re in re 5.891 * [taylor]: Taking taylor expansion of re in re 5.891 * [taylor]: Taking taylor expansion of (* im im) in re 5.891 * [taylor]: Taking taylor expansion of im in re 5.891 * [taylor]: Taking taylor expansion of im in re 5.892 * [taylor]: Taking taylor expansion of re in re 5.895 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot re im) re))) in re 5.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot re im) re)) in re 5.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.895 * [taylor]: Taking taylor expansion of 2.0 in re 5.895 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 5.896 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.896 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.896 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.896 * [taylor]: Taking taylor expansion of (* re re) in re 5.896 * [taylor]: Taking taylor expansion of re in re 5.896 * [taylor]: Taking taylor expansion of re in re 5.896 * [taylor]: Taking taylor expansion of (* im im) in re 5.896 * [taylor]: Taking taylor expansion of im in re 5.896 * [taylor]: Taking taylor expansion of im in re 5.897 * [taylor]: Taking taylor expansion of re in re 5.899 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 5.899 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.899 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.899 * [taylor]: Taking taylor expansion of 2.0 in im 5.900 * [taylor]: Taking taylor expansion of im in im 5.904 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ (sqrt 2.0) im))) in im 5.904 * [taylor]: Taking taylor expansion of -1/2 in im 5.904 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 5.904 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.904 * [taylor]: Taking taylor expansion of 2.0 in im 5.904 * [taylor]: Taking taylor expansion of im in im 5.923 * [approximate]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 5.923 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 5.923 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 5.923 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.923 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.923 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.923 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.923 * [taylor]: Taking taylor expansion of re in im 5.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.923 * [taylor]: Taking taylor expansion of re in im 5.923 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.923 * [taylor]: Taking taylor expansion of im in im 5.924 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.924 * [taylor]: Taking taylor expansion of im in im 5.931 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.931 * [taylor]: Taking taylor expansion of re in im 5.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.931 * [taylor]: Taking taylor expansion of 2.0 in im 5.934 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 5.934 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 5.934 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.934 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.934 * [taylor]: Taking taylor expansion of re in re 5.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.934 * [taylor]: Taking taylor expansion of re in re 5.935 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.935 * [taylor]: Taking taylor expansion of im in re 5.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.935 * [taylor]: Taking taylor expansion of im in re 5.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.937 * [taylor]: Taking taylor expansion of re in re 5.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.938 * [taylor]: Taking taylor expansion of 2.0 in re 5.945 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 5.946 * [taylor]: Taking taylor expansion of (* (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 5.946 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.946 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.946 * [taylor]: Taking taylor expansion of re in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.946 * [taylor]: Taking taylor expansion of re in re 5.946 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.946 * [taylor]: Taking taylor expansion of im in re 5.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.946 * [taylor]: Taking taylor expansion of im in re 5.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.949 * [taylor]: Taking taylor expansion of re in re 5.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.949 * [taylor]: Taking taylor expansion of 2.0 in re 5.958 * [taylor]: Taking taylor expansion of 0 in im 5.958 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.958 * [taylor]: Taking taylor expansion of +nan.0 in im 5.958 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.958 * [taylor]: Taking taylor expansion of 2.0 in im 5.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.959 * [taylor]: Taking taylor expansion of im in im 5.966 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 5.966 * [taylor]: Taking taylor expansion of +nan.0 in im 5.967 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 5.967 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 5.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.967 * [taylor]: Taking taylor expansion of 2.0 in im 5.967 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.967 * [taylor]: Taking taylor expansion of im in im 5.988 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 5.988 * [taylor]: Taking taylor expansion of +nan.0 in im 5.988 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 5.988 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 5.988 * [taylor]: Taking taylor expansion of 1/8 in im 5.988 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.988 * [taylor]: Taking taylor expansion of 2.0 in im 5.988 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.989 * [taylor]: Taking taylor expansion of im in im 5.990 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 5.990 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 5.990 * [taylor]: Taking taylor expansion of +nan.0 in im 5.990 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 5.990 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 5.990 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.990 * [taylor]: Taking taylor expansion of 2.0 in im 5.990 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.990 * [taylor]: Taking taylor expansion of im in im 6.040 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 6.040 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 6.040 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 6.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.040 * [taylor]: Taking taylor expansion of 2.0 in im 6.041 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 6.041 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.041 * [taylor]: Taking taylor expansion of re in im 6.041 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.041 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.041 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.041 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.041 * [taylor]: Taking taylor expansion of -1 in im 6.041 * [taylor]: Taking taylor expansion of re in im 6.041 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.041 * [taylor]: Taking taylor expansion of -1 in im 6.041 * [taylor]: Taking taylor expansion of re in im 6.042 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.042 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.042 * [taylor]: Taking taylor expansion of -1 in im 6.042 * [taylor]: Taking taylor expansion of im in im 6.042 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.042 * [taylor]: Taking taylor expansion of -1 in im 6.042 * [taylor]: Taking taylor expansion of im in im 6.047 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.047 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.047 * [taylor]: Taking taylor expansion of 2.0 in re 6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.048 * [taylor]: Taking taylor expansion of re in re 6.048 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.048 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.048 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.048 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.048 * [taylor]: Taking taylor expansion of -1 in re 6.048 * [taylor]: Taking taylor expansion of re in re 6.049 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.049 * [taylor]: Taking taylor expansion of -1 in re 6.049 * [taylor]: Taking taylor expansion of re in re 6.049 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.049 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.049 * [taylor]: Taking taylor expansion of -1 in re 6.049 * [taylor]: Taking taylor expansion of im in re 6.049 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.049 * [taylor]: Taking taylor expansion of -1 in re 6.049 * [taylor]: Taking taylor expansion of im in re 6.054 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.054 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.054 * [taylor]: Taking taylor expansion of 2.0 in re 6.055 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.055 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.055 * [taylor]: Taking taylor expansion of re in re 6.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.056 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.056 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.056 * [taylor]: Taking taylor expansion of -1 in re 6.056 * [taylor]: Taking taylor expansion of re in re 6.056 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.056 * [taylor]: Taking taylor expansion of -1 in re 6.056 * [taylor]: Taking taylor expansion of re in re 6.056 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.056 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.056 * [taylor]: Taking taylor expansion of -1 in re 6.056 * [taylor]: Taking taylor expansion of im in re 6.056 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.056 * [taylor]: Taking taylor expansion of -1 in re 6.056 * [taylor]: Taking taylor expansion of im in re 6.061 * [taylor]: Taking taylor expansion of 0 in im 6.061 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.061 * [taylor]: Taking taylor expansion of +nan.0 in im 6.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.061 * [taylor]: Taking taylor expansion of 2.0 in im 6.066 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 6.066 * [taylor]: Taking taylor expansion of +nan.0 in im 6.066 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 6.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.066 * [taylor]: Taking taylor expansion of 2.0 in im 6.076 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 6.076 * [taylor]: Taking taylor expansion of +nan.0 in im 6.076 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 6.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 6.076 * [taylor]: Taking taylor expansion of 1/2 in im 6.076 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.076 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.076 * [taylor]: Taking taylor expansion of 2.0 in im 6.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.077 * [taylor]: Taking taylor expansion of im in im 6.078 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 6.078 * [taylor]: Taking taylor expansion of +nan.0 in im 6.078 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 6.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.078 * [taylor]: Taking taylor expansion of 2.0 in im 6.099 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 6.099 * [taylor]: Taking taylor expansion of +nan.0 in im 6.099 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 6.099 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 6.099 * [taylor]: Taking taylor expansion of +nan.0 in im 6.099 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 6.099 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 6.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.099 * [taylor]: Taking taylor expansion of 2.0 in im 6.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.100 * [taylor]: Taking taylor expansion of im in im 6.102 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 6.102 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 6.102 * [taylor]: Taking taylor expansion of +nan.0 in im 6.102 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 6.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.102 * [taylor]: Taking taylor expansion of 2.0 in im 6.125 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.127 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 6.127 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 6.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.127 * [taylor]: Taking taylor expansion of 2.0 in im 6.127 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 6.127 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 6.127 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.127 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.127 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.127 * [taylor]: Taking taylor expansion of (* re re) in im 6.127 * [taylor]: Taking taylor expansion of re in im 6.127 * [taylor]: Taking taylor expansion of re in im 6.128 * [taylor]: Taking taylor expansion of (* im im) in im 6.128 * [taylor]: Taking taylor expansion of im in im 6.128 * [taylor]: Taking taylor expansion of im in im 6.129 * [taylor]: Taking taylor expansion of re in im 6.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 6.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.133 * [taylor]: Taking taylor expansion of 2.0 in re 6.133 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.133 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.133 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.134 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.134 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.134 * [taylor]: Taking taylor expansion of (* re re) in re 6.134 * [taylor]: Taking taylor expansion of re in re 6.134 * [taylor]: Taking taylor expansion of re in re 6.134 * [taylor]: Taking taylor expansion of (* im im) in re 6.134 * [taylor]: Taking taylor expansion of im in re 6.134 * [taylor]: Taking taylor expansion of im in re 6.135 * [taylor]: Taking taylor expansion of re in re 6.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 6.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.136 * [taylor]: Taking taylor expansion of 2.0 in re 6.137 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.137 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.137 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.137 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.137 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.137 * [taylor]: Taking taylor expansion of (* re re) in re 6.137 * [taylor]: Taking taylor expansion of re in re 6.137 * [taylor]: Taking taylor expansion of re in re 6.137 * [taylor]: Taking taylor expansion of (* im im) in re 6.137 * [taylor]: Taking taylor expansion of im in re 6.137 * [taylor]: Taking taylor expansion of im in re 6.138 * [taylor]: Taking taylor expansion of re in re 6.139 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 6.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.139 * [taylor]: Taking taylor expansion of 2.0 in im 6.140 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.140 * [taylor]: Taking taylor expansion of im in im 6.143 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 6.144 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 6.144 * [taylor]: Taking taylor expansion of 1/2 in im 6.144 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 6.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.144 * [taylor]: Taking taylor expansion of 2.0 in im 6.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.144 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.144 * [taylor]: Taking taylor expansion of im in im 6.165 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 6.165 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 6.165 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 6.165 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.165 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.165 * [taylor]: Taking taylor expansion of re in im 6.165 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.165 * [taylor]: Taking taylor expansion of re in im 6.165 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.165 * [taylor]: Taking taylor expansion of im in im 6.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.166 * [taylor]: Taking taylor expansion of im in im 6.168 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.168 * [taylor]: Taking taylor expansion of re in im 6.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.170 * [taylor]: Taking taylor expansion of 2.0 in im 6.170 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.170 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.170 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.170 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.170 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.170 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.171 * [taylor]: Taking taylor expansion of re in re 6.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.171 * [taylor]: Taking taylor expansion of re in re 6.171 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.171 * [taylor]: Taking taylor expansion of im in re 6.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.171 * [taylor]: Taking taylor expansion of im in re 6.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.174 * [taylor]: Taking taylor expansion of re in re 6.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.184 * [taylor]: Taking taylor expansion of 2.0 in re 6.185 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.185 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.185 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.185 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.185 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.185 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.185 * [taylor]: Taking taylor expansion of re in re 6.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.185 * [taylor]: Taking taylor expansion of re in re 6.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.186 * [taylor]: Taking taylor expansion of im in re 6.186 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.186 * [taylor]: Taking taylor expansion of im in re 6.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.188 * [taylor]: Taking taylor expansion of re in re 6.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.193 * [taylor]: Taking taylor expansion of 2.0 in re 6.194 * [taylor]: Taking taylor expansion of 0 in im 6.195 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.195 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.195 * [taylor]: Taking taylor expansion of +nan.0 in im 6.195 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.195 * [taylor]: Taking taylor expansion of 2.0 in im 6.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.196 * [taylor]: Taking taylor expansion of im in im 6.203 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 6.203 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.203 * [taylor]: Taking taylor expansion of +nan.0 in im 6.203 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.203 * [taylor]: Taking taylor expansion of 2.0 in im 6.204 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.204 * [taylor]: Taking taylor expansion of im in im 6.220 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 6.220 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 6.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.220 * [taylor]: Taking taylor expansion of +nan.0 in im 6.220 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.220 * [taylor]: Taking taylor expansion of 2.0 in im 6.221 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.221 * [taylor]: Taking taylor expansion of im in im 6.222 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 6.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 6.222 * [taylor]: Taking taylor expansion of +nan.0 in im 6.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 6.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.222 * [taylor]: Taking taylor expansion of 2.0 in im 6.223 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.223 * [taylor]: Taking taylor expansion of im in im 6.246 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 6.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 6.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.246 * [taylor]: Taking taylor expansion of 2.0 in im 6.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 6.247 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 6.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.247 * [taylor]: Taking taylor expansion of re in im 6.247 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.247 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.247 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.247 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.247 * [taylor]: Taking taylor expansion of -1 in im 6.247 * [taylor]: Taking taylor expansion of re in im 6.247 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.247 * [taylor]: Taking taylor expansion of -1 in im 6.247 * [taylor]: Taking taylor expansion of re in im 6.247 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.247 * [taylor]: Taking taylor expansion of -1 in im 6.247 * [taylor]: Taking taylor expansion of im in im 6.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.247 * [taylor]: Taking taylor expansion of -1 in im 6.247 * [taylor]: Taking taylor expansion of im in im 6.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.252 * [taylor]: Taking taylor expansion of 2.0 in re 6.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.252 * [taylor]: Taking taylor expansion of re in re 6.253 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.253 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.253 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.253 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.253 * [taylor]: Taking taylor expansion of -1 in re 6.253 * [taylor]: Taking taylor expansion of re in re 6.253 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.253 * [taylor]: Taking taylor expansion of -1 in re 6.253 * [taylor]: Taking taylor expansion of re in re 6.253 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.253 * [taylor]: Taking taylor expansion of -1 in re 6.253 * [taylor]: Taking taylor expansion of im in re 6.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.254 * [taylor]: Taking taylor expansion of -1 in re 6.254 * [taylor]: Taking taylor expansion of im in re 6.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.258 * [taylor]: Taking taylor expansion of 2.0 in re 6.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.258 * [taylor]: Taking taylor expansion of re in re 6.259 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.259 * [taylor]: Taking taylor expansion of -1 in re 6.259 * [taylor]: Taking taylor expansion of re in re 6.264 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.264 * [taylor]: Taking taylor expansion of -1 in re 6.264 * [taylor]: Taking taylor expansion of re in re 6.265 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.265 * [taylor]: Taking taylor expansion of -1 in re 6.265 * [taylor]: Taking taylor expansion of im in re 6.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.265 * [taylor]: Taking taylor expansion of -1 in re 6.265 * [taylor]: Taking taylor expansion of im in re 6.269 * [taylor]: Taking taylor expansion of 0 in im 6.270 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.270 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.270 * [taylor]: Taking taylor expansion of +nan.0 in im 6.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.270 * [taylor]: Taking taylor expansion of 2.0 in im 6.275 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.275 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.275 * [taylor]: Taking taylor expansion of +nan.0 in im 6.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.275 * [taylor]: Taking taylor expansion of 2.0 in im 6.284 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.284 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.284 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.284 * [taylor]: Taking taylor expansion of +nan.0 in im 6.284 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.284 * [taylor]: Taking taylor expansion of 2.0 in im 6.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.285 * [taylor]: Taking taylor expansion of im in im 6.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.286 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.286 * [taylor]: Taking taylor expansion of +nan.0 in im 6.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.286 * [taylor]: Taking taylor expansion of 2.0 in im 6.297 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.297 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.297 * [taylor]: Taking taylor expansion of +nan.0 in im 6.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.297 * [taylor]: Taking taylor expansion of 2.0 in im 6.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.298 * [taylor]: Taking taylor expansion of im in im 6.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.299 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.299 * [taylor]: Taking taylor expansion of +nan.0 in im 6.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.299 * [taylor]: Taking taylor expansion of 2.0 in im 6.312 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 6.312 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 6.312 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 6.312 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 6.312 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.312 * [taylor]: Taking taylor expansion of (* re re) in im 6.312 * [taylor]: Taking taylor expansion of re in im 6.312 * [taylor]: Taking taylor expansion of re in im 6.312 * [taylor]: Taking taylor expansion of (* im im) in im 6.312 * [taylor]: Taking taylor expansion of im in im 6.312 * [taylor]: Taking taylor expansion of im in im 6.313 * [taylor]: Taking taylor expansion of re in im 6.317 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.317 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.317 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.317 * [taylor]: Taking taylor expansion of (* re re) in re 6.317 * [taylor]: Taking taylor expansion of re in re 6.317 * [taylor]: Taking taylor expansion of re in re 6.317 * [taylor]: Taking taylor expansion of (* im im) in re 6.317 * [taylor]: Taking taylor expansion of im in re 6.317 * [taylor]: Taking taylor expansion of im in re 6.318 * [taylor]: Taking taylor expansion of re in re 6.319 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.319 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.319 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.319 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.319 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.319 * [taylor]: Taking taylor expansion of (* re re) in re 6.319 * [taylor]: Taking taylor expansion of re in re 6.319 * [taylor]: Taking taylor expansion of re in re 6.319 * [taylor]: Taking taylor expansion of (* im im) in re 6.319 * [taylor]: Taking taylor expansion of im in re 6.319 * [taylor]: Taking taylor expansion of im in re 6.321 * [taylor]: Taking taylor expansion of re in re 6.321 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.321 * [taylor]: Taking taylor expansion of im in im 6.323 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 6.323 * [taylor]: Taking taylor expansion of -1/2 in im 6.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.323 * [taylor]: Taking taylor expansion of im in im 6.329 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 6.330 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 6.330 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.330 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.330 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.330 * [taylor]: Taking taylor expansion of re in im 6.330 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.330 * [taylor]: Taking taylor expansion of re in im 6.330 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.330 * [taylor]: Taking taylor expansion of im in im 6.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.330 * [taylor]: Taking taylor expansion of im in im 6.333 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.333 * [taylor]: Taking taylor expansion of re in im 6.334 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.334 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.334 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.334 * [taylor]: Taking taylor expansion of re in re 6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.335 * [taylor]: Taking taylor expansion of re in re 6.335 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.335 * [taylor]: Taking taylor expansion of im in re 6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.335 * [taylor]: Taking taylor expansion of im in re 6.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.337 * [taylor]: Taking taylor expansion of re in re 6.343 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.343 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.343 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.343 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.343 * [taylor]: Taking taylor expansion of re in re 6.343 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.343 * [taylor]: Taking taylor expansion of re in re 6.343 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.343 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.343 * [taylor]: Taking taylor expansion of im in re 6.343 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.343 * [taylor]: Taking taylor expansion of im in re 6.351 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.351 * [taylor]: Taking taylor expansion of re in re 6.357 * [taylor]: Taking taylor expansion of 0 in im 6.357 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 6.357 * [taylor]: Taking taylor expansion of +nan.0 in im 6.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.357 * [taylor]: Taking taylor expansion of im in im 6.362 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 6.362 * [taylor]: Taking taylor expansion of +nan.0 in im 6.362 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.362 * [taylor]: Taking taylor expansion of im in im 6.372 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 6.372 * [taylor]: Taking taylor expansion of +nan.0 in im 6.372 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 6.372 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 6.372 * [taylor]: Taking taylor expansion of 1/8 in im 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.372 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.372 * [taylor]: Taking taylor expansion of im in im 6.373 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 6.373 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 6.373 * [taylor]: Taking taylor expansion of +nan.0 in im 6.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 6.373 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.373 * [taylor]: Taking taylor expansion of im in im 6.396 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 6.396 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.396 * [taylor]: Taking taylor expansion of re in im 6.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.397 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.397 * [taylor]: Taking taylor expansion of -1 in im 6.397 * [taylor]: Taking taylor expansion of re in im 6.397 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.397 * [taylor]: Taking taylor expansion of -1 in im 6.397 * [taylor]: Taking taylor expansion of re in im 6.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.397 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.397 * [taylor]: Taking taylor expansion of -1 in im 6.397 * [taylor]: Taking taylor expansion of im in im 6.397 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.397 * [taylor]: Taking taylor expansion of -1 in im 6.397 * [taylor]: Taking taylor expansion of im in im 6.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.401 * [taylor]: Taking taylor expansion of re in re 6.402 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.402 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.402 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.402 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.402 * [taylor]: Taking taylor expansion of -1 in re 6.402 * [taylor]: Taking taylor expansion of re in re 6.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.402 * [taylor]: Taking taylor expansion of -1 in re 6.402 * [taylor]: Taking taylor expansion of re in re 6.402 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.402 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.402 * [taylor]: Taking taylor expansion of -1 in re 6.402 * [taylor]: Taking taylor expansion of im in re 6.402 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.402 * [taylor]: Taking taylor expansion of -1 in re 6.402 * [taylor]: Taking taylor expansion of im in re 6.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.406 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.406 * [taylor]: Taking taylor expansion of re in re 6.407 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.407 * [taylor]: Taking taylor expansion of -1 in re 6.407 * [taylor]: Taking taylor expansion of re in re 6.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.407 * [taylor]: Taking taylor expansion of -1 in re 6.407 * [taylor]: Taking taylor expansion of re in re 6.407 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.407 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.407 * [taylor]: Taking taylor expansion of -1 in re 6.407 * [taylor]: Taking taylor expansion of im in re 6.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.408 * [taylor]: Taking taylor expansion of -1 in re 6.408 * [taylor]: Taking taylor expansion of im in re 6.411 * [taylor]: Taking taylor expansion of 0 in im 6.412 * [taylor]: Taking taylor expansion of +nan.0 in im 6.414 * [taylor]: Taking taylor expansion of +nan.0 in im 6.418 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 6.418 * [taylor]: Taking taylor expansion of +nan.0 in im 6.418 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 6.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.418 * [taylor]: Taking taylor expansion of 1/2 in im 6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.418 * [taylor]: Taking taylor expansion of im in im 6.419 * [taylor]: Taking taylor expansion of +nan.0 in im 6.425 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 6.425 * [taylor]: Taking taylor expansion of +nan.0 in im 6.425 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 6.425 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 6.425 * [taylor]: Taking taylor expansion of +nan.0 in im 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.425 * [taylor]: Taking taylor expansion of im in im 6.425 * [taylor]: Taking taylor expansion of (- +nan.0) in im 6.426 * [taylor]: Taking taylor expansion of +nan.0 in im 6.437 * * * [progress]: simplifying candidates 6.439 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp 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)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (- (hypot re im) re) (sqrt 2.0)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (- (hypot re im) re) (sqrt 2.0)) (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (sqrt 2.0)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (- (hypot re im) re) (sqrt 2.0)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (sqrt (- (hypot re im) re)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 1))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt 1)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) 1) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (sqrt 2.0))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (sqrt 2.0))) (expm1 (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (- (hypot re im) re) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (- (hypot re im) re) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (+ (log (sqrt (- (hypot re im) re))) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (+ (log (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (- (hypot re im) re) (sqrt 2.0)) (sqrt 2.0)) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 1))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt 1)) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) 1) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (* im re))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (pow (sqrt 2.0) 2) (pow im 2)))))))) 0 (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 6.445 * * [simplify]: iteration 0 : 212 enodes (cost 1873 ) 6.478 * * [simplify]: iteration 1 : 512 enodes (cost 1559 ) 6.592 * * [simplify]: iteration 2 : 1935 enodes (cost 1386 ) 7.181 * * [simplify]: iteration done : 5001 enodes (cost 1381 ) 7.182 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (- (hypot re im) re) (* re 0) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- 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 (hypot re im) (hypot re im) (* re (+ (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt 2.0) (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt 2.0) (- (hypot re im) re)) (log (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (log (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (exp (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (pow (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) 3) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (pow (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) 3) (* (sqrt 2.0) (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (- (hypot re im) re)) (* (cbrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (sqrt 2.0))) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (sqrt 2.0))) (expm1 (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log1p (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* 2.0 (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (* 2.0 (- (hypot re im) re)) (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (log (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (exp (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0)))) (cbrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (pow (* (sqrt (- (hypot re im) re)) (sqrt 2.0)) 3) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt 2.0))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (fabs (cbrt (sqrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (fabs (cbrt 2.0))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (* (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (- (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt 2.0) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (fma (hypot re im) (hypot re im) (* re (+ (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (- im re) 0 (* -2 re) (- (* +nan.0 (- (* (sqrt 2.0) im) (* (pow im 2) 2.0))) (* (* 2.0 im) (* +nan.0 re))) 0 (- (* +nan.0 (- (/ 2.0 re) (sqrt 2.0))) (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2)))) (- (* (* +nan.0 (sqrt 2.0)) (- im (* im re))) (* +nan.0 (* (sqrt 2.0) (pow im 2)))) 0 (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (- (* +nan.0 (- (* im re) (pow im 2))) (* +nan.0 im)) 0 (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re))) 7.183 * * * [progress]: adding candidates to table 7.485 * [progress]: [Phase 3 of 3] Extracting. 7.485 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 7.488 * * * [regime-changes]: Trying 2 branch expressions: (im re) 7.489 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 7.530 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 7.569 * * * [regime]: Found split indices: #