17.719 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.031 * * [simplify]: iteration 1 : 24 enodes (cost 10 ) 0.033 * * [simplify]: iteration 2 : 29 enodes (cost 10 ) 0.036 * * [simplify]: iteration 3 : 31 enodes (cost 10 ) 0.043 * * [simplify]: iteration done : 31 enodes (cost 10 ) 0.043 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.062 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.062 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.063 * [taylor]: Taking taylor expansion of re in im 0.063 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.063 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.063 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.063 * [taylor]: Taking taylor expansion of (* re re) in im 0.063 * [taylor]: Taking taylor expansion of re in im 0.063 * [taylor]: Taking taylor expansion of re in im 0.063 * [taylor]: Taking taylor expansion of (* im im) in im 0.063 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of im in im 0.064 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.064 * [taylor]: Taking taylor expansion of (* re re) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (* im im) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.066 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.066 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.066 * [taylor]: Taking taylor expansion of (* re re) in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.066 * [taylor]: Taking taylor expansion of (* im im) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of 1 in im 0.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.069 * [taylor]: Taking taylor expansion of 1/2 in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.073 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.073 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.076 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.076 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.080 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.080 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.080 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.081 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of 2 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.094 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.094 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.094 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.094 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.094 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.094 * [taylor]: Taking taylor expansion of -1 in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.094 * [taylor]: Taking taylor expansion of -1 in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.094 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.094 * [taylor]: Taking taylor expansion of -1 in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.095 * [taylor]: Taking taylor expansion of -1 in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.098 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.098 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.098 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.098 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.098 * [taylor]: Taking taylor expansion of -1 in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.099 * [taylor]: Taking taylor expansion of -1 in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.099 * [taylor]: Taking taylor expansion of -1 in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.099 * [taylor]: Taking taylor expansion of -1 in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.102 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.102 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.102 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.102 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.102 * [taylor]: Taking taylor expansion of -1 in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.102 * [taylor]: Taking taylor expansion of -1 in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.103 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.103 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.103 * [taylor]: Taking taylor expansion of -1 in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.103 * [taylor]: Taking taylor expansion of -1 in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.105 * [taylor]: Taking taylor expansion of re in re 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of 1/2 in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.117 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.118 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.118 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.118 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.118 * [taylor]: Taking taylor expansion of (* re re) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (* im im) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.119 * [taylor]: Taking taylor expansion of 2.0 in im 0.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.125 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.125 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.125 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.125 * [taylor]: Taking taylor expansion of (* re re) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of (* im im) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.127 * [taylor]: Taking taylor expansion of 2.0 in re 0.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.127 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.128 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.128 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.128 * [taylor]: Taking taylor expansion of (* re re) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (* im im) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.129 * [taylor]: Taking taylor expansion of 2.0 in re 0.130 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.130 * [taylor]: Taking taylor expansion of 2.0 in im 0.131 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.133 * [taylor]: Taking taylor expansion of 1/2 in im 0.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) 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 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.133 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.145 * [taylor]: Taking taylor expansion of 1/8 in im 0.145 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) 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 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.161 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.166 * [taylor]: Taking taylor expansion of 2.0 in im 0.166 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.166 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.172 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.177 * [taylor]: Taking taylor expansion of 2.0 in re 0.178 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.179 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.179 * [taylor]: Taking taylor expansion of +nan.0 in im 0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.179 * [taylor]: Taking taylor expansion of 2.0 in im 0.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.185 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.185 * [taylor]: Taking taylor expansion of +nan.0 in im 0.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.185 * [taylor]: Taking taylor expansion of 2.0 in im 0.194 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.194 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.194 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.194 * [taylor]: Taking taylor expansion of +nan.0 in im 0.194 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.194 * [taylor]: Taking taylor expansion of 2.0 in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.196 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.196 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.196 * [taylor]: Taking taylor expansion of +nan.0 in im 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.196 * [taylor]: Taking taylor expansion of 2.0 in im 0.213 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.213 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.213 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.214 * [taylor]: Taking taylor expansion of +nan.0 in im 0.214 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.214 * [taylor]: Taking taylor expansion of 2.0 in im 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.215 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.215 * [taylor]: Taking taylor expansion of +nan.0 in im 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.215 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.229 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.230 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of re in im 0.230 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.230 * [taylor]: Taking taylor expansion of -1 in im 0.230 * [taylor]: Taking taylor expansion of im in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.235 * [taylor]: Taking taylor expansion of 2.0 in re 0.235 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.235 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.235 * [taylor]: Taking taylor expansion of -1 in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.236 * [taylor]: Taking taylor expansion of -1 in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.236 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.236 * [taylor]: Taking taylor expansion of -1 in re 0.236 * [taylor]: Taking taylor expansion of im in re 0.236 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.236 * [taylor]: Taking taylor expansion of -1 in re 0.236 * [taylor]: Taking taylor expansion of im in re 0.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.239 * [taylor]: Taking taylor expansion of re in re 0.244 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.244 * [taylor]: Taking taylor expansion of 2.0 in re 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.245 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.245 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.245 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.245 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.245 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.245 * [taylor]: Taking taylor expansion of -1 in re 0.245 * [taylor]: Taking taylor expansion of re in re 0.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.246 * [taylor]: Taking taylor expansion of -1 in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.254 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.255 * [taylor]: Taking taylor expansion of +nan.0 in im 0.255 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.264 * [taylor]: Taking taylor expansion of +nan.0 in im 0.264 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.281 * [taylor]: Taking taylor expansion of +nan.0 in im 0.281 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.281 * [taylor]: Taking taylor expansion of 2.0 in im 0.282 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.283 * [taylor]: Taking taylor expansion of +nan.0 in im 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.284 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.313 * * * [progress]: simplifying candidates 0.313 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.316 * * [simplify]: iteration 0 : 75 enodes (cost 354 ) 0.327 * * [simplify]: iteration 1 : 173 enodes (cost 325 ) 0.359 * * [simplify]: iteration 2 : 446 enodes (cost 302 ) 0.527 * * [simplify]: iteration 3 : 1277 enodes (cost 293 ) 1.998 * * [simplify]: iteration 4 : 3884 enodes (cost 292 ) 2.785 * * [simplify]: iteration done : 5001 enodes (cost 292 ) 2.785 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (+ re im) (* 2 re) 0 (* (sqrt 2.0) (* +nan.0 (- (- im re) (* re re)))) (fma (- +nan.0) (sqrt 2.0) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 2.785 * * * [progress]: adding candidates to table 2.879 * * [progress]: iteration 2 / 4 2.879 * * * [progress]: picking best candidate 2.886 * * * * [pick]: Picked # 2.886 * * * [progress]: localizing error 2.895 * * * [progress]: generating rewritten candidates 2.895 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 2.898 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.911 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 2.917 * * * [progress]: generating series expansions 2.917 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 2.917 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.917 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.917 * [taylor]: Taking taylor expansion of re in im 2.917 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.917 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.917 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.917 * [taylor]: Taking taylor expansion of (* re re) in im 2.917 * [taylor]: Taking taylor expansion of re in im 2.917 * [taylor]: Taking taylor expansion of re in im 2.917 * [taylor]: Taking taylor expansion of (* im im) in im 2.917 * [taylor]: Taking taylor expansion of im in im 2.917 * [taylor]: Taking taylor expansion of im in im 2.918 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.918 * [taylor]: Taking taylor expansion of re in re 2.918 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.918 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.918 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.919 * [taylor]: Taking taylor expansion of (* re re) in re 2.919 * [taylor]: Taking taylor expansion of re in re 2.919 * [taylor]: Taking taylor expansion of re in re 2.919 * [taylor]: Taking taylor expansion of (* im im) in re 2.919 * [taylor]: Taking taylor expansion of im in re 2.919 * [taylor]: Taking taylor expansion of im in re 2.920 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.920 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.920 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.920 * [taylor]: Taking taylor expansion of (* re re) in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [taylor]: Taking taylor expansion of (* im im) in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.921 * [taylor]: Taking taylor expansion of im in im 2.921 * [taylor]: Taking taylor expansion of 1 in im 2.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.923 * [taylor]: Taking taylor expansion of 1/2 in im 2.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.923 * [taylor]: Taking taylor expansion of im in im 2.926 * [taylor]: Taking taylor expansion of 0 in im 2.927 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.927 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.927 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.927 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.927 * [taylor]: Taking taylor expansion of re in im 2.927 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.927 * [taylor]: Taking taylor expansion of re in im 2.927 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.927 * [taylor]: Taking taylor expansion of im in im 2.927 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.927 * [taylor]: Taking taylor expansion of im in im 2.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.930 * [taylor]: Taking taylor expansion of re in im 2.930 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.930 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.930 * [taylor]: Taking taylor expansion of re in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.931 * [taylor]: Taking taylor expansion of re in re 2.931 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.931 * [taylor]: Taking taylor expansion of im in re 2.931 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.931 * [taylor]: Taking taylor expansion of im in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.934 * [taylor]: Taking taylor expansion of re in re 2.934 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.934 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.934 * [taylor]: Taking taylor expansion of re in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.935 * [taylor]: Taking taylor expansion of re in re 2.935 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.935 * [taylor]: Taking taylor expansion of im in re 2.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.935 * [taylor]: Taking taylor expansion of im in re 2.938 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.938 * [taylor]: Taking taylor expansion of re in re 2.939 * [taylor]: Taking taylor expansion of 2 in im 2.939 * [taylor]: Taking taylor expansion of 0 in im 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.942 * [taylor]: Taking taylor expansion of 1/2 in im 2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.942 * [taylor]: Taking taylor expansion of im in im 2.947 * [taylor]: Taking taylor expansion of 0 in im 2.949 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.949 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.949 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.949 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.949 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.949 * [taylor]: Taking taylor expansion of -1 in im 2.949 * [taylor]: Taking taylor expansion of re in im 2.949 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.949 * [taylor]: Taking taylor expansion of -1 in im 2.949 * [taylor]: Taking taylor expansion of re in im 2.949 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.949 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.949 * [taylor]: Taking taylor expansion of -1 in im 2.949 * [taylor]: Taking taylor expansion of im in im 2.950 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.950 * [taylor]: Taking taylor expansion of -1 in im 2.950 * [taylor]: Taking taylor expansion of im in im 2.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.953 * [taylor]: Taking taylor expansion of re in im 2.953 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.953 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.953 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.953 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.953 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.953 * [taylor]: Taking taylor expansion of -1 in re 2.953 * [taylor]: Taking taylor expansion of re in re 2.953 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.953 * [taylor]: Taking taylor expansion of -1 in re 2.953 * [taylor]: Taking taylor expansion of re in re 2.954 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.954 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.954 * [taylor]: Taking taylor expansion of -1 in re 2.954 * [taylor]: Taking taylor expansion of im in re 2.954 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.954 * [taylor]: Taking taylor expansion of -1 in re 2.954 * [taylor]: Taking taylor expansion of im in re 2.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.959 * [taylor]: Taking taylor expansion of re in re 2.959 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.959 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.960 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.960 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.960 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.960 * [taylor]: Taking taylor expansion of -1 in re 2.960 * [taylor]: Taking taylor expansion of re in re 2.960 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.960 * [taylor]: Taking taylor expansion of -1 in re 2.960 * [taylor]: Taking taylor expansion of re in re 2.960 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.960 * [taylor]: Taking taylor expansion of -1 in re 2.960 * [taylor]: Taking taylor expansion of im in re 2.960 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.960 * [taylor]: Taking taylor expansion of -1 in re 2.960 * [taylor]: Taking taylor expansion of im in re 2.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.963 * [taylor]: Taking taylor expansion of re in re 2.964 * [taylor]: Taking taylor expansion of 0 in im 2.965 * [taylor]: Taking taylor expansion of 0 in im 2.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.968 * [taylor]: Taking taylor expansion of 1/2 in im 2.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.968 * [taylor]: Taking taylor expansion of im in im 2.973 * [taylor]: Taking taylor expansion of 0 in im 2.975 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.975 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.975 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.975 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.975 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.975 * [taylor]: Taking taylor expansion of re in im 2.975 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.975 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.975 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.975 * [taylor]: Taking taylor expansion of (* re re) in im 2.975 * [taylor]: Taking taylor expansion of re in im 2.975 * [taylor]: Taking taylor expansion of re in im 2.975 * [taylor]: Taking taylor expansion of (* im im) in im 2.975 * [taylor]: Taking taylor expansion of im in im 2.975 * [taylor]: Taking taylor expansion of im in im 2.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.977 * [taylor]: Taking taylor expansion of 2.0 in im 2.978 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.978 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.978 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.978 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.978 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.978 * [taylor]: Taking taylor expansion of (* re re) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [taylor]: Taking taylor expansion of (* im im) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.979 * [taylor]: Taking taylor expansion of 2.0 in re 2.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.980 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.980 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.980 * [taylor]: Taking taylor expansion of re in re 2.980 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.980 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.980 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.980 * [taylor]: Taking taylor expansion of (* re re) in re 2.980 * [taylor]: Taking taylor expansion of re in re 2.980 * [taylor]: Taking taylor expansion of re in re 2.980 * [taylor]: Taking taylor expansion of (* im im) in re 2.980 * [taylor]: Taking taylor expansion of im in re 2.980 * [taylor]: Taking taylor expansion of im in re 2.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.982 * [taylor]: Taking taylor expansion of 2.0 in re 2.983 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.983 * [taylor]: Taking taylor expansion of 2.0 in im 2.983 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.983 * [taylor]: Taking taylor expansion of im in im 2.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.985 * [taylor]: Taking taylor expansion of 1/2 in im 2.985 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.986 * [taylor]: Taking taylor expansion of 2.0 in im 2.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.986 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.986 * [taylor]: Taking taylor expansion of im in im 2.999 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.999 * [taylor]: Taking taylor expansion of 1/8 in im 2.999 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.999 * [taylor]: Taking taylor expansion of 2.0 in im 3.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.000 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.000 * [taylor]: Taking taylor expansion of im in im 3.015 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 3.015 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 3.015 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 3.015 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.015 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.015 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.015 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.015 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.015 * [taylor]: Taking taylor expansion of re in im 3.015 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.015 * [taylor]: Taking taylor expansion of re in im 3.015 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.015 * [taylor]: Taking taylor expansion of im in im 3.016 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.016 * [taylor]: Taking taylor expansion of im in im 3.018 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.018 * [taylor]: Taking taylor expansion of re in im 3.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.020 * [taylor]: Taking taylor expansion of 2.0 in im 3.020 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.020 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.020 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.020 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.020 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.020 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.021 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.021 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.021 * [taylor]: Taking taylor expansion of re in re 3.021 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.021 * [taylor]: Taking taylor expansion of re in re 3.021 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.021 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.021 * [taylor]: Taking taylor expansion of im in re 3.021 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.021 * [taylor]: Taking taylor expansion of im in re 3.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.024 * [taylor]: Taking taylor expansion of re in re 3.025 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.025 * [taylor]: Taking taylor expansion of 2.0 in re 3.026 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.026 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.026 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.026 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.026 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.026 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.026 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.026 * [taylor]: Taking taylor expansion of re in re 3.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.026 * [taylor]: Taking taylor expansion of re in re 3.027 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.027 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.027 * [taylor]: Taking taylor expansion of im in re 3.027 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.027 * [taylor]: Taking taylor expansion of im in re 3.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.029 * [taylor]: Taking taylor expansion of re in re 3.031 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.031 * [taylor]: Taking taylor expansion of 2.0 in re 3.032 * [taylor]: Taking taylor expansion of 0 in im 3.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.033 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.033 * [taylor]: Taking taylor expansion of +nan.0 in im 3.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.033 * [taylor]: Taking taylor expansion of 2.0 in im 3.039 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.040 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.040 * [taylor]: Taking taylor expansion of +nan.0 in im 3.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.040 * [taylor]: Taking taylor expansion of 2.0 in im 3.052 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 3.052 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 3.052 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.052 * [taylor]: Taking taylor expansion of +nan.0 in im 3.052 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.052 * [taylor]: Taking taylor expansion of 2.0 in im 3.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.053 * [taylor]: Taking taylor expansion of im in im 3.054 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.054 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.054 * [taylor]: Taking taylor expansion of +nan.0 in im 3.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.054 * [taylor]: Taking taylor expansion of 2.0 in im 3.066 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 3.066 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 3.066 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.066 * [taylor]: Taking taylor expansion of +nan.0 in im 3.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.066 * [taylor]: Taking taylor expansion of 2.0 in im 3.066 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.066 * [taylor]: Taking taylor expansion of im in im 3.067 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.067 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.067 * [taylor]: Taking taylor expansion of +nan.0 in im 3.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.067 * [taylor]: Taking taylor expansion of 2.0 in im 3.080 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 3.080 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 3.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.080 * [taylor]: Taking taylor expansion of 2.0 in im 3.081 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.081 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.081 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.081 * [taylor]: Taking taylor expansion of -1 in im 3.081 * [taylor]: Taking taylor expansion of re in im 3.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.081 * [taylor]: Taking taylor expansion of -1 in im 3.081 * [taylor]: Taking taylor expansion of re in im 3.082 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.082 * [taylor]: Taking taylor expansion of -1 in im 3.082 * [taylor]: Taking taylor expansion of im in im 3.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.082 * [taylor]: Taking taylor expansion of -1 in im 3.082 * [taylor]: Taking taylor expansion of im in im 3.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.085 * [taylor]: Taking taylor expansion of re in im 3.087 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.087 * [taylor]: Taking taylor expansion of 2.0 in re 3.087 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.087 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.087 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.088 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.088 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.088 * [taylor]: Taking taylor expansion of -1 in re 3.088 * [taylor]: Taking taylor expansion of re in re 3.088 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.088 * [taylor]: Taking taylor expansion of -1 in re 3.088 * [taylor]: Taking taylor expansion of re in re 3.088 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.088 * [taylor]: Taking taylor expansion of -1 in re 3.088 * [taylor]: Taking taylor expansion of im in re 3.088 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.088 * [taylor]: Taking taylor expansion of -1 in re 3.088 * [taylor]: Taking taylor expansion of im in re 3.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.091 * [taylor]: Taking taylor expansion of re in re 3.096 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.097 * [taylor]: Taking taylor expansion of 2.0 in re 3.097 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.097 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.097 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.098 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.098 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.098 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.098 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.098 * [taylor]: Taking taylor expansion of -1 in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.098 * [taylor]: Taking taylor expansion of -1 in re 3.098 * [taylor]: Taking taylor expansion of re in re 3.098 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.098 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.098 * [taylor]: Taking taylor expansion of -1 in re 3.098 * [taylor]: Taking taylor expansion of im in re 3.098 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.098 * [taylor]: Taking taylor expansion of -1 in re 3.098 * [taylor]: Taking taylor expansion of im in re 3.101 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.101 * [taylor]: Taking taylor expansion of re in re 3.107 * [taylor]: Taking taylor expansion of 0 in im 3.107 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.108 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.108 * [taylor]: Taking taylor expansion of +nan.0 in im 3.108 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.108 * [taylor]: Taking taylor expansion of 2.0 in im 3.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.108 * [taylor]: Taking taylor expansion of im in im 3.116 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.116 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.116 * [taylor]: Taking taylor expansion of +nan.0 in im 3.116 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.116 * [taylor]: Taking taylor expansion of 2.0 in im 3.117 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.117 * [taylor]: Taking taylor expansion of im in im 3.137 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.137 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.137 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.137 * [taylor]: Taking taylor expansion of +nan.0 in im 3.137 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.137 * [taylor]: Taking taylor expansion of 2.0 in im 3.138 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.138 * [taylor]: Taking taylor expansion of im in im 3.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.139 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.139 * [taylor]: Taking taylor expansion of +nan.0 in im 3.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.139 * [taylor]: Taking taylor expansion of 2.0 in im 3.140 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.140 * [taylor]: Taking taylor expansion of im in im 3.162 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 3.162 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 3.162 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 3.162 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 3.162 * [taylor]: Taking taylor expansion of re in im 3.162 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.162 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.162 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.162 * [taylor]: Taking taylor expansion of (* re re) in im 3.162 * [taylor]: Taking taylor expansion of re in im 3.162 * [taylor]: Taking taylor expansion of re in im 3.162 * [taylor]: Taking taylor expansion of (* im im) in im 3.162 * [taylor]: Taking taylor expansion of im in im 3.162 * [taylor]: Taking taylor expansion of im in im 3.164 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 3.164 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.164 * [taylor]: Taking taylor expansion of re in re 3.164 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.164 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.164 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.164 * [taylor]: Taking taylor expansion of (* re re) in re 3.164 * [taylor]: Taking taylor expansion of re in re 3.164 * [taylor]: Taking taylor expansion of re in re 3.164 * [taylor]: Taking taylor expansion of (* im im) in re 3.164 * [taylor]: Taking taylor expansion of im in re 3.164 * [taylor]: Taking taylor expansion of im in re 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 3.166 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 3.166 * [taylor]: Taking taylor expansion of re in re 3.166 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.166 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.166 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.166 * [taylor]: Taking taylor expansion of (* re re) in re 3.166 * [taylor]: Taking taylor expansion of re in re 3.166 * [taylor]: Taking taylor expansion of re in re 3.166 * [taylor]: Taking taylor expansion of (* im im) in re 3.166 * [taylor]: Taking taylor expansion of im in re 3.166 * [taylor]: Taking taylor expansion of im in re 3.167 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.167 * [taylor]: Taking taylor expansion of im in im 3.169 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 3.169 * [taylor]: Taking taylor expansion of 1/2 in im 3.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.169 * [taylor]: Taking taylor expansion of im in im 3.173 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 3.173 * [taylor]: Taking taylor expansion of 1/8 in im 3.173 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.173 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.173 * [taylor]: Taking taylor expansion of im in im 3.180 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 3.180 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 3.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.180 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.180 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.180 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.180 * [taylor]: Taking taylor expansion of re in im 3.180 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.180 * [taylor]: Taking taylor expansion of re in im 3.180 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.180 * [taylor]: Taking taylor expansion of im in im 3.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.180 * [taylor]: Taking taylor expansion of im in im 3.183 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.183 * [taylor]: Taking taylor expansion of re in im 3.184 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.184 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.185 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.185 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.185 * [taylor]: Taking taylor expansion of re in re 3.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.185 * [taylor]: Taking taylor expansion of re in re 3.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.185 * [taylor]: Taking taylor expansion of im in re 3.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.185 * [taylor]: Taking taylor expansion of im in re 3.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.188 * [taylor]: Taking taylor expansion of re in re 3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 3.190 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 3.190 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.190 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.190 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.190 * [taylor]: Taking taylor expansion of im in re 3.191 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.191 * [taylor]: Taking taylor expansion of im in re 3.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.193 * [taylor]: Taking taylor expansion of re in re 3.195 * [taylor]: Taking taylor expansion of 0 in im 3.195 * [taylor]: Taking taylor expansion of +nan.0 in im 3.197 * [taylor]: Taking taylor expansion of +nan.0 in im 3.201 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 3.201 * [taylor]: Taking taylor expansion of +nan.0 in im 3.201 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 3.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.202 * [taylor]: Taking taylor expansion of 1/2 in im 3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.202 * [taylor]: Taking taylor expansion of im in im 3.202 * [taylor]: Taking taylor expansion of +nan.0 in im 3.208 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 3.208 * [taylor]: Taking taylor expansion of +nan.0 in im 3.208 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 3.208 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 3.208 * [taylor]: Taking taylor expansion of +nan.0 in im 3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.208 * [taylor]: Taking taylor expansion of im in im 3.209 * [taylor]: Taking taylor expansion of (- +nan.0) in im 3.209 * [taylor]: Taking taylor expansion of +nan.0 in im 3.218 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 3.218 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.218 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.218 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.219 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.219 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.219 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.219 * [taylor]: Taking taylor expansion of -1 in im 3.219 * [taylor]: Taking taylor expansion of re in im 3.219 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.219 * [taylor]: Taking taylor expansion of -1 in im 3.219 * [taylor]: Taking taylor expansion of re in im 3.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.219 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.219 * [taylor]: Taking taylor expansion of -1 in im 3.219 * [taylor]: Taking taylor expansion of im in im 3.219 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.219 * [taylor]: Taking taylor expansion of -1 in im 3.219 * [taylor]: Taking taylor expansion of im in im 3.222 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.222 * [taylor]: Taking taylor expansion of re in im 3.223 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.223 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.223 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.224 * [taylor]: Taking taylor expansion of -1 in re 3.224 * [taylor]: Taking taylor expansion of re in re 3.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.224 * [taylor]: Taking taylor expansion of -1 in re 3.224 * [taylor]: Taking taylor expansion of re in re 3.224 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.224 * [taylor]: Taking taylor expansion of -1 in re 3.224 * [taylor]: Taking taylor expansion of im in re 3.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.224 * [taylor]: Taking taylor expansion of -1 in re 3.224 * [taylor]: Taking taylor expansion of im in re 3.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.227 * [taylor]: Taking taylor expansion of re in re 3.232 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.232 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.232 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.232 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.232 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.233 * [taylor]: Taking taylor expansion of -1 in re 3.233 * [taylor]: Taking taylor expansion of re in re 3.233 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.233 * [taylor]: Taking taylor expansion of -1 in re 3.233 * [taylor]: Taking taylor expansion of re in re 3.233 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.233 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.233 * [taylor]: Taking taylor expansion of -1 in re 3.233 * [taylor]: Taking taylor expansion of im in re 3.233 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.233 * [taylor]: Taking taylor expansion of -1 in re 3.233 * [taylor]: Taking taylor expansion of im in re 3.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.236 * [taylor]: Taking taylor expansion of re in re 3.241 * [taylor]: Taking taylor expansion of 0 in im 3.241 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 3.241 * [taylor]: Taking taylor expansion of +nan.0 in im 3.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.241 * [taylor]: Taking taylor expansion of im in im 3.247 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 3.247 * [taylor]: Taking taylor expansion of +nan.0 in im 3.247 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.247 * [taylor]: Taking taylor expansion of im in im 3.258 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 3.258 * [taylor]: Taking taylor expansion of +nan.0 in im 3.258 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 3.258 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 3.258 * [taylor]: Taking taylor expansion of 1/8 in im 3.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.258 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.258 * [taylor]: Taking taylor expansion of im in im 3.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 3.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 3.259 * [taylor]: Taking taylor expansion of +nan.0 in im 3.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 3.259 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.259 * [taylor]: Taking taylor expansion of im in im 3.282 * * * [progress]: simplifying candidates 3.283 * [simplify]: Simplifying using # : (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (+ re (hypot re im)) 2.0) (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) 1) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 3.287 * * [simplify]: iteration 0 : 124 enodes (cost 838 ) 3.309 * * [simplify]: iteration 1 : 286 enodes (cost 767 ) 3.379 * * [simplify]: iteration 2 : 741 enodes (cost 726 ) 3.717 * * [simplify]: iteration 3 : 2024 enodes (cost 715 ) 4.900 * * [simplify]: iteration done : 5000 enodes (cost 712 ) 4.901 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ (hypot re im) re) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ (hypot re im) re) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* 2.0 (+ (hypot re im) re)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* 2.0 (+ (hypot re im) re)) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (fabs (cbrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt 2.0)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow (hypot re im) 3/2) (pow re 3/2)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (* (- (- im re) (* re re)) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (sqrt 2.0) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 (* +nan.0 (- (- im re) (* re re))) (- (- (/ +nan.0 re) +nan.0) (/ (/ +nan.0 re) re)) 0 4.901 * * * [progress]: adding candidates to table 5.089 * * [progress]: iteration 3 / 4 5.089 * * * [progress]: picking best candidate 5.094 * * * * [pick]: Picked # 5.094 * * * [progress]: localizing error 5.106 * * * [progress]: generating rewritten candidates 5.107 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.129 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 5.131 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 5.151 * * * [progress]: generating series expansions 5.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.152 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 5.152 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 5.152 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 5.152 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.152 * [taylor]: Taking taylor expansion of re in im 5.152 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.152 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.152 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.152 * [taylor]: Taking taylor expansion of (* re re) in im 5.152 * [taylor]: Taking taylor expansion of re in im 5.152 * [taylor]: Taking taylor expansion of re in im 5.152 * [taylor]: Taking taylor expansion of (* im im) in im 5.152 * [taylor]: Taking taylor expansion of im in im 5.152 * [taylor]: Taking taylor expansion of im in im 5.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.154 * [taylor]: Taking taylor expansion of 2.0 in im 5.155 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.155 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.155 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.155 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.155 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.155 * [taylor]: Taking taylor expansion of (* re re) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [taylor]: Taking taylor expansion of (* im im) in re 5.155 * [taylor]: Taking taylor expansion of im in re 5.155 * [taylor]: Taking taylor expansion of im in re 5.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.157 * [taylor]: Taking taylor expansion of 2.0 in re 5.157 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.157 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.157 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.157 * [taylor]: Taking taylor expansion of re in re 5.157 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.158 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.158 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.158 * [taylor]: Taking taylor expansion of (* re re) in re 5.158 * [taylor]: Taking taylor expansion of re in re 5.158 * [taylor]: Taking taylor expansion of re in re 5.158 * [taylor]: Taking taylor expansion of (* im im) in re 5.158 * [taylor]: Taking taylor expansion of im in re 5.158 * [taylor]: Taking taylor expansion of im in re 5.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.159 * [taylor]: Taking taylor expansion of 2.0 in re 5.160 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 5.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.160 * [taylor]: Taking taylor expansion of 2.0 in im 5.161 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.161 * [taylor]: Taking taylor expansion of im in im 5.163 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 5.163 * [taylor]: Taking taylor expansion of 1/2 in im 5.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 5.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.163 * [taylor]: Taking taylor expansion of 2.0 in im 5.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.163 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.163 * [taylor]: Taking taylor expansion of im in im 5.175 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 5.175 * [taylor]: Taking taylor expansion of 1/8 in im 5.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 5.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.175 * [taylor]: Taking taylor expansion of 2.0 in im 5.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.175 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.175 * [taylor]: Taking taylor expansion of im in im 5.194 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 5.194 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 5.194 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 5.194 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.194 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.194 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.194 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.194 * [taylor]: Taking taylor expansion of re in im 5.194 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.194 * [taylor]: Taking taylor expansion of re in im 5.194 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.194 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.194 * [taylor]: Taking taylor expansion of im in im 5.195 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.195 * [taylor]: Taking taylor expansion of im in im 5.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.197 * [taylor]: Taking taylor expansion of re in im 5.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.199 * [taylor]: Taking taylor expansion of 2.0 in im 5.199 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.199 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.199 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.200 * [taylor]: Taking taylor expansion of re in re 5.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.200 * [taylor]: Taking taylor expansion of re in re 5.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.200 * [taylor]: Taking taylor expansion of im in re 5.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.200 * [taylor]: Taking taylor expansion of im in re 5.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.203 * [taylor]: Taking taylor expansion of re in re 5.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.204 * [taylor]: Taking taylor expansion of 2.0 in re 5.205 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.205 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.205 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.205 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.205 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.205 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.205 * [taylor]: Taking taylor expansion of re in re 5.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.205 * [taylor]: Taking taylor expansion of re in re 5.206 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.206 * [taylor]: Taking taylor expansion of im in re 5.206 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.206 * [taylor]: Taking taylor expansion of im in re 5.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.208 * [taylor]: Taking taylor expansion of re in re 5.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.210 * [taylor]: Taking taylor expansion of 2.0 in re 5.211 * [taylor]: Taking taylor expansion of 0 in im 5.212 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.212 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.212 * [taylor]: Taking taylor expansion of +nan.0 in im 5.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.212 * [taylor]: Taking taylor expansion of 2.0 in im 5.218 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.218 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.218 * [taylor]: Taking taylor expansion of +nan.0 in im 5.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.218 * [taylor]: Taking taylor expansion of 2.0 in im 5.227 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.227 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.228 * [taylor]: Taking taylor expansion of +nan.0 in im 5.228 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.228 * [taylor]: Taking taylor expansion of 2.0 in im 5.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.228 * [taylor]: Taking taylor expansion of im in im 5.229 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.229 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.229 * [taylor]: Taking taylor expansion of +nan.0 in im 5.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.229 * [taylor]: Taking taylor expansion of 2.0 in im 5.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.241 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.241 * [taylor]: Taking taylor expansion of +nan.0 in im 5.241 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.241 * [taylor]: Taking taylor expansion of 2.0 in im 5.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.241 * [taylor]: Taking taylor expansion of im in im 5.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.242 * [taylor]: Taking taylor expansion of +nan.0 in im 5.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.242 * [taylor]: Taking taylor expansion of 2.0 in im 5.255 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 5.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 5.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.256 * [taylor]: Taking taylor expansion of 2.0 in im 5.256 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 5.256 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.256 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.256 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.256 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.256 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.256 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.256 * [taylor]: Taking taylor expansion of -1 in im 5.256 * [taylor]: Taking taylor expansion of re in im 5.256 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.256 * [taylor]: Taking taylor expansion of -1 in im 5.256 * [taylor]: Taking taylor expansion of re in im 5.257 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.257 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.257 * [taylor]: Taking taylor expansion of -1 in im 5.257 * [taylor]: Taking taylor expansion of im in im 5.257 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.257 * [taylor]: Taking taylor expansion of -1 in im 5.257 * [taylor]: Taking taylor expansion of im in im 5.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.260 * [taylor]: Taking taylor expansion of re in im 5.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.261 * [taylor]: Taking taylor expansion of 2.0 in re 5.262 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.262 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.262 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.262 * [taylor]: Taking taylor expansion of -1 in re 5.262 * [taylor]: Taking taylor expansion of re in re 5.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.262 * [taylor]: Taking taylor expansion of -1 in re 5.262 * [taylor]: Taking taylor expansion of re in re 5.263 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.263 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.263 * [taylor]: Taking taylor expansion of -1 in re 5.263 * [taylor]: Taking taylor expansion of im in re 5.263 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.263 * [taylor]: Taking taylor expansion of -1 in re 5.263 * [taylor]: Taking taylor expansion of im in re 5.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.265 * [taylor]: Taking taylor expansion of re in re 5.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.272 * [taylor]: Taking taylor expansion of 2.0 in re 5.275 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.275 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.275 * [taylor]: Taking taylor expansion of -1 in re 5.275 * [taylor]: Taking taylor expansion of re in re 5.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.276 * [taylor]: Taking taylor expansion of -1 in re 5.276 * [taylor]: Taking taylor expansion of re in re 5.276 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.276 * [taylor]: Taking taylor expansion of -1 in re 5.276 * [taylor]: Taking taylor expansion of im in re 5.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.276 * [taylor]: Taking taylor expansion of -1 in re 5.276 * [taylor]: Taking taylor expansion of im in re 5.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.279 * [taylor]: Taking taylor expansion of re in re 5.285 * [taylor]: Taking taylor expansion of 0 in im 5.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.285 * [taylor]: Taking taylor expansion of +nan.0 in im 5.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.285 * [taylor]: Taking taylor expansion of 2.0 in im 5.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.286 * [taylor]: Taking taylor expansion of im in im 5.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 5.294 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.294 * [taylor]: Taking taylor expansion of +nan.0 in im 5.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.294 * [taylor]: Taking taylor expansion of 2.0 in im 5.295 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.295 * [taylor]: Taking taylor expansion of im in im 5.311 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 5.311 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 5.311 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.311 * [taylor]: Taking taylor expansion of +nan.0 in im 5.311 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.311 * [taylor]: Taking taylor expansion of 2.0 in im 5.312 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.312 * [taylor]: Taking taylor expansion of im in im 5.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 5.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 5.313 * [taylor]: Taking taylor expansion of +nan.0 in im 5.313 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 5.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.313 * [taylor]: Taking taylor expansion of 2.0 in im 5.313 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.313 * [taylor]: Taking taylor expansion of im in im 5.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 5.336 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 5.336 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.336 * [taylor]: Taking taylor expansion of re in im 5.336 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.336 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.337 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.337 * [taylor]: Taking taylor expansion of (* re re) in im 5.337 * [taylor]: Taking taylor expansion of re in im 5.337 * [taylor]: Taking taylor expansion of re in im 5.337 * [taylor]: Taking taylor expansion of (* im im) in im 5.337 * [taylor]: Taking taylor expansion of im in im 5.337 * [taylor]: Taking taylor expansion of im in im 5.338 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.338 * [taylor]: Taking taylor expansion of re in re 5.338 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.338 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.338 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.338 * [taylor]: Taking taylor expansion of (* re re) in re 5.338 * [taylor]: Taking taylor expansion of re in re 5.338 * [taylor]: Taking taylor expansion of re in re 5.338 * [taylor]: Taking taylor expansion of (* im im) in re 5.338 * [taylor]: Taking taylor expansion of im in re 5.338 * [taylor]: Taking taylor expansion of im in re 5.339 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.339 * [taylor]: Taking taylor expansion of re in re 5.339 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.339 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.339 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.339 * [taylor]: Taking taylor expansion of (* re re) in re 5.339 * [taylor]: Taking taylor expansion of re in re 5.339 * [taylor]: Taking taylor expansion of re in re 5.339 * [taylor]: Taking taylor expansion of (* im im) in re 5.339 * [taylor]: Taking taylor expansion of im in re 5.339 * [taylor]: Taking taylor expansion of im in re 5.340 * [taylor]: Taking taylor expansion of im in im 5.341 * [taylor]: Taking taylor expansion of 1 in im 5.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.342 * [taylor]: Taking taylor expansion of 1/2 in im 5.342 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.342 * [taylor]: Taking taylor expansion of im in im 5.345 * [taylor]: Taking taylor expansion of 0 in im 5.346 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 5.346 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.346 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.346 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.346 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.346 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.346 * [taylor]: Taking taylor expansion of re in im 5.346 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.346 * [taylor]: Taking taylor expansion of re in im 5.346 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.346 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.346 * [taylor]: Taking taylor expansion of im in im 5.347 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.347 * [taylor]: Taking taylor expansion of im in im 5.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.349 * [taylor]: Taking taylor expansion of re in im 5.350 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.350 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.350 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.350 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.350 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.350 * [taylor]: Taking taylor expansion of re in re 5.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.350 * [taylor]: Taking taylor expansion of re in re 5.350 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.350 * [taylor]: Taking taylor expansion of im in re 5.350 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.350 * [taylor]: Taking taylor expansion of im in re 5.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.353 * [taylor]: Taking taylor expansion of re in re 5.353 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.353 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.353 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.353 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.353 * [taylor]: Taking taylor expansion of re in re 5.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.354 * [taylor]: Taking taylor expansion of re in re 5.354 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.354 * [taylor]: Taking taylor expansion of im in re 5.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.354 * [taylor]: Taking taylor expansion of im in re 5.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.360 * [taylor]: Taking taylor expansion of re in re 5.360 * [taylor]: Taking taylor expansion of 2 in im 5.361 * [taylor]: Taking taylor expansion of 0 in im 5.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.364 * [taylor]: Taking taylor expansion of 1/2 in im 5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.364 * [taylor]: Taking taylor expansion of im in im 5.368 * [taylor]: Taking taylor expansion of 0 in im 5.370 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.370 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.370 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.370 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.370 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.370 * [taylor]: Taking taylor expansion of -1 in im 5.370 * [taylor]: Taking taylor expansion of re in im 5.370 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.370 * [taylor]: Taking taylor expansion of -1 in im 5.370 * [taylor]: Taking taylor expansion of re in im 5.370 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.370 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.370 * [taylor]: Taking taylor expansion of -1 in im 5.371 * [taylor]: Taking taylor expansion of im in im 5.371 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.371 * [taylor]: Taking taylor expansion of -1 in im 5.371 * [taylor]: Taking taylor expansion of im in im 5.374 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.374 * [taylor]: Taking taylor expansion of re in im 5.374 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.374 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.374 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.374 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.374 * [taylor]: Taking taylor expansion of -1 in re 5.374 * [taylor]: Taking taylor expansion of re in re 5.374 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.374 * [taylor]: Taking taylor expansion of -1 in re 5.374 * [taylor]: Taking taylor expansion of re in re 5.375 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.375 * [taylor]: Taking taylor expansion of -1 in re 5.375 * [taylor]: Taking taylor expansion of im in re 5.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.375 * [taylor]: Taking taylor expansion of -1 in re 5.375 * [taylor]: Taking taylor expansion of im in re 5.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.377 * [taylor]: Taking taylor expansion of re in re 5.377 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.378 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.378 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.378 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.378 * [taylor]: Taking taylor expansion of -1 in re 5.378 * [taylor]: Taking taylor expansion of re in re 5.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.378 * [taylor]: Taking taylor expansion of -1 in re 5.378 * [taylor]: Taking taylor expansion of re in re 5.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.378 * [taylor]: Taking taylor expansion of -1 in re 5.378 * [taylor]: Taking taylor expansion of im in re 5.378 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.378 * [taylor]: Taking taylor expansion of -1 in re 5.378 * [taylor]: Taking taylor expansion of im in re 5.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.381 * [taylor]: Taking taylor expansion of re in re 5.382 * [taylor]: Taking taylor expansion of 0 in im 5.383 * [taylor]: Taking taylor expansion of 0 in im 5.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.386 * [taylor]: Taking taylor expansion of 1/2 in im 5.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.386 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.386 * [taylor]: Taking taylor expansion of im in im 5.391 * [taylor]: Taking taylor expansion of 0 in im 5.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.393 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 5.393 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 5.393 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 5.393 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.393 * [taylor]: Taking taylor expansion of re in im 5.393 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.393 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.393 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.393 * [taylor]: Taking taylor expansion of (* re re) in im 5.393 * [taylor]: Taking taylor expansion of re in im 5.393 * [taylor]: Taking taylor expansion of re in im 5.393 * [taylor]: Taking taylor expansion of (* im im) in im 5.393 * [taylor]: Taking taylor expansion of im in im 5.394 * [taylor]: Taking taylor expansion of im in im 5.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.395 * [taylor]: Taking taylor expansion of 2.0 in im 5.396 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.396 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.396 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.396 * [taylor]: Taking taylor expansion of re in re 5.396 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.396 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.396 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.396 * [taylor]: Taking taylor expansion of (* re re) in re 5.396 * [taylor]: Taking taylor expansion of re in re 5.396 * [taylor]: Taking taylor expansion of re in re 5.396 * [taylor]: Taking taylor expansion of (* im im) in re 5.396 * [taylor]: Taking taylor expansion of im in re 5.396 * [taylor]: Taking taylor expansion of im in re 5.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.398 * [taylor]: Taking taylor expansion of 2.0 in re 5.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.398 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.398 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.398 * [taylor]: Taking taylor expansion of re in re 5.398 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.398 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.398 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.398 * [taylor]: Taking taylor expansion of (* re re) in re 5.398 * [taylor]: Taking taylor expansion of re in re 5.398 * [taylor]: Taking taylor expansion of re in re 5.398 * [taylor]: Taking taylor expansion of (* im im) in re 5.398 * [taylor]: Taking taylor expansion of im in re 5.398 * [taylor]: Taking taylor expansion of im in re 5.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.400 * [taylor]: Taking taylor expansion of 2.0 in re 5.401 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 5.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.401 * [taylor]: Taking taylor expansion of 2.0 in im 5.402 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.402 * [taylor]: Taking taylor expansion of im in im 5.403 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 5.403 * [taylor]: Taking taylor expansion of 1/2 in im 5.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 5.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.404 * [taylor]: Taking taylor expansion of 2.0 in im 5.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.404 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.404 * [taylor]: Taking taylor expansion of im in im 5.415 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 5.415 * [taylor]: Taking taylor expansion of 1/8 in im 5.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 5.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.415 * [taylor]: Taking taylor expansion of 2.0 in im 5.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.416 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.416 * [taylor]: Taking taylor expansion of im in im 5.431 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 5.431 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 5.431 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 5.431 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.431 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.431 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.431 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.431 * [taylor]: Taking taylor expansion of re in im 5.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.431 * [taylor]: Taking taylor expansion of re in im 5.431 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.431 * [taylor]: Taking taylor expansion of im in im 5.432 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.432 * [taylor]: Taking taylor expansion of im in im 5.435 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.435 * [taylor]: Taking taylor expansion of re in im 5.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.436 * [taylor]: Taking taylor expansion of 2.0 in im 5.437 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.437 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.437 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.437 * [taylor]: Taking taylor expansion of re in re 5.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.437 * [taylor]: Taking taylor expansion of re in re 5.437 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.437 * [taylor]: Taking taylor expansion of im in re 5.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.438 * [taylor]: Taking taylor expansion of im in re 5.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.443 * [taylor]: Taking taylor expansion of re in re 5.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.444 * [taylor]: Taking taylor expansion of 2.0 in re 5.445 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.445 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.445 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.445 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.445 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.445 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.445 * [taylor]: Taking taylor expansion of re in re 5.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.446 * [taylor]: Taking taylor expansion of re in re 5.446 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.446 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.446 * [taylor]: Taking taylor expansion of im in re 5.446 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.446 * [taylor]: Taking taylor expansion of im in re 5.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.448 * [taylor]: Taking taylor expansion of re in re 5.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.450 * [taylor]: Taking taylor expansion of 2.0 in re 5.451 * [taylor]: Taking taylor expansion of 0 in im 5.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.452 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.452 * [taylor]: Taking taylor expansion of +nan.0 in im 5.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.452 * [taylor]: Taking taylor expansion of 2.0 in im 5.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.458 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.458 * [taylor]: Taking taylor expansion of +nan.0 in im 5.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.458 * [taylor]: Taking taylor expansion of 2.0 in im 5.467 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.468 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.468 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.468 * [taylor]: Taking taylor expansion of +nan.0 in im 5.468 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.468 * [taylor]: Taking taylor expansion of 2.0 in im 5.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.468 * [taylor]: Taking taylor expansion of im in im 5.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.469 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.469 * [taylor]: Taking taylor expansion of +nan.0 in im 5.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.469 * [taylor]: Taking taylor expansion of 2.0 in im 5.481 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.481 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.481 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.481 * [taylor]: Taking taylor expansion of +nan.0 in im 5.481 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.481 * [taylor]: Taking taylor expansion of 2.0 in im 5.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.482 * [taylor]: Taking taylor expansion of im in im 5.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.483 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.483 * [taylor]: Taking taylor expansion of +nan.0 in im 5.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.483 * [taylor]: Taking taylor expansion of 2.0 in im 5.496 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 5.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 5.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.496 * [taylor]: Taking taylor expansion of 2.0 in im 5.496 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 5.496 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.496 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.497 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.497 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.497 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.497 * [taylor]: Taking taylor expansion of -1 in im 5.497 * [taylor]: Taking taylor expansion of re in im 5.497 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.497 * [taylor]: Taking taylor expansion of -1 in im 5.497 * [taylor]: Taking taylor expansion of re in im 5.497 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.497 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.497 * [taylor]: Taking taylor expansion of -1 in im 5.497 * [taylor]: Taking taylor expansion of im in im 5.497 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.497 * [taylor]: Taking taylor expansion of -1 in im 5.497 * [taylor]: Taking taylor expansion of im in im 5.500 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.500 * [taylor]: Taking taylor expansion of re in im 5.501 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.501 * [taylor]: Taking taylor expansion of 2.0 in re 5.502 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.502 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.502 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.502 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.502 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.502 * [taylor]: Taking taylor expansion of -1 in re 5.502 * [taylor]: Taking taylor expansion of re in re 5.503 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.503 * [taylor]: Taking taylor expansion of -1 in re 5.503 * [taylor]: Taking taylor expansion of re in re 5.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.503 * [taylor]: Taking taylor expansion of -1 in re 5.503 * [taylor]: Taking taylor expansion of im in re 5.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.503 * [taylor]: Taking taylor expansion of -1 in re 5.503 * [taylor]: Taking taylor expansion of im in re 5.506 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.506 * [taylor]: Taking taylor expansion of re in re 5.511 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.511 * [taylor]: Taking taylor expansion of 2.0 in re 5.512 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.512 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.512 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.512 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.512 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.512 * [taylor]: Taking taylor expansion of -1 in re 5.512 * [taylor]: Taking taylor expansion of re in re 5.512 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.512 * [taylor]: Taking taylor expansion of -1 in re 5.512 * [taylor]: Taking taylor expansion of re in re 5.513 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.513 * [taylor]: Taking taylor expansion of -1 in re 5.513 * [taylor]: Taking taylor expansion of im in re 5.513 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.513 * [taylor]: Taking taylor expansion of -1 in re 5.513 * [taylor]: Taking taylor expansion of im in re 5.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.515 * [taylor]: Taking taylor expansion of re in re 5.522 * [taylor]: Taking taylor expansion of 0 in im 5.525 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.525 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.525 * [taylor]: Taking taylor expansion of +nan.0 in im 5.525 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.525 * [taylor]: Taking taylor expansion of 2.0 in im 5.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.526 * [taylor]: Taking taylor expansion of im in im 5.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 5.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.534 * [taylor]: Taking taylor expansion of +nan.0 in im 5.534 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.534 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.534 * [taylor]: Taking taylor expansion of 2.0 in im 5.535 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.535 * [taylor]: Taking taylor expansion of im in im 5.551 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 5.551 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 5.551 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.551 * [taylor]: Taking taylor expansion of +nan.0 in im 5.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.551 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.551 * [taylor]: Taking taylor expansion of 2.0 in im 5.552 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.552 * [taylor]: Taking taylor expansion of im in im 5.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 5.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 5.553 * [taylor]: Taking taylor expansion of +nan.0 in im 5.553 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 5.553 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.553 * [taylor]: Taking taylor expansion of 2.0 in im 5.554 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.554 * [taylor]: Taking taylor expansion of im in im 5.576 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 5.576 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 5.576 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 5.576 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.576 * [taylor]: Taking taylor expansion of re in im 5.576 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.576 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.576 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.576 * [taylor]: Taking taylor expansion of (* re re) in im 5.576 * [taylor]: Taking taylor expansion of re in im 5.576 * [taylor]: Taking taylor expansion of re in im 5.576 * [taylor]: Taking taylor expansion of (* im im) in im 5.576 * [taylor]: Taking taylor expansion of im in im 5.576 * [taylor]: Taking taylor expansion of im in im 5.578 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.578 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.578 * [taylor]: Taking taylor expansion of re in re 5.578 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.578 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.578 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.578 * [taylor]: Taking taylor expansion of (* re re) in re 5.578 * [taylor]: Taking taylor expansion of re in re 5.578 * [taylor]: Taking taylor expansion of re in re 5.578 * [taylor]: Taking taylor expansion of (* im im) in re 5.578 * [taylor]: Taking taylor expansion of im in re 5.578 * [taylor]: Taking taylor expansion of im in re 5.579 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.579 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.579 * [taylor]: Taking taylor expansion of re in re 5.579 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.579 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.579 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.579 * [taylor]: Taking taylor expansion of (* re re) in re 5.579 * [taylor]: Taking taylor expansion of re in re 5.579 * [taylor]: Taking taylor expansion of re in re 5.580 * [taylor]: Taking taylor expansion of (* im im) in re 5.580 * [taylor]: Taking taylor expansion of im in re 5.580 * [taylor]: Taking taylor expansion of im in re 5.581 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.581 * [taylor]: Taking taylor expansion of im in im 5.582 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 5.582 * [taylor]: Taking taylor expansion of 1/2 in im 5.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.582 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.582 * [taylor]: Taking taylor expansion of im in im 5.587 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 5.587 * [taylor]: Taking taylor expansion of 1/8 in im 5.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.587 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.587 * [taylor]: Taking taylor expansion of im in im 5.594 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 5.594 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 5.594 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.594 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.594 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.594 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.594 * [taylor]: Taking taylor expansion of re in im 5.594 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.594 * [taylor]: Taking taylor expansion of re in im 5.594 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.594 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.594 * [taylor]: Taking taylor expansion of im in im 5.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.595 * [taylor]: Taking taylor expansion of im in im 5.597 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.597 * [taylor]: Taking taylor expansion of re in im 5.599 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.599 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.599 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.599 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.599 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.599 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.599 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.599 * [taylor]: Taking taylor expansion of re in re 5.599 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.599 * [taylor]: Taking taylor expansion of re in re 5.599 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.599 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.599 * [taylor]: Taking taylor expansion of im in re 5.599 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.600 * [taylor]: Taking taylor expansion of im in re 5.602 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.602 * [taylor]: Taking taylor expansion of re in re 5.603 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.603 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.604 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.604 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.604 * [taylor]: Taking taylor expansion of re in re 5.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.604 * [taylor]: Taking taylor expansion of re in re 5.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.604 * [taylor]: Taking taylor expansion of im in re 5.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.604 * [taylor]: Taking taylor expansion of im in re 5.610 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.610 * [taylor]: Taking taylor expansion of re in re 5.611 * [taylor]: Taking taylor expansion of 0 in im 5.611 * [taylor]: Taking taylor expansion of +nan.0 in im 5.614 * [taylor]: Taking taylor expansion of +nan.0 in im 5.618 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 5.618 * [taylor]: Taking taylor expansion of +nan.0 in im 5.618 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 5.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.618 * [taylor]: Taking taylor expansion of 1/2 in im 5.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.618 * [taylor]: Taking taylor expansion of im in im 5.619 * [taylor]: Taking taylor expansion of +nan.0 in im 5.625 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 5.625 * [taylor]: Taking taylor expansion of +nan.0 in im 5.625 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 5.625 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 5.625 * [taylor]: Taking taylor expansion of +nan.0 in im 5.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.625 * [taylor]: Taking taylor expansion of im in im 5.625 * [taylor]: Taking taylor expansion of (- +nan.0) in im 5.625 * [taylor]: Taking taylor expansion of +nan.0 in im 5.632 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 5.632 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 5.632 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.632 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.632 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.632 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.632 * [taylor]: Taking taylor expansion of -1 in im 5.632 * [taylor]: Taking taylor expansion of re in im 5.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.632 * [taylor]: Taking taylor expansion of -1 in im 5.632 * [taylor]: Taking taylor expansion of re in im 5.632 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.632 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.632 * [taylor]: Taking taylor expansion of -1 in im 5.632 * [taylor]: Taking taylor expansion of im in im 5.633 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.633 * [taylor]: Taking taylor expansion of -1 in im 5.633 * [taylor]: Taking taylor expansion of im in im 5.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.636 * [taylor]: Taking taylor expansion of re in im 5.637 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.637 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.637 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.637 * [taylor]: Taking taylor expansion of -1 in re 5.637 * [taylor]: Taking taylor expansion of re in re 5.638 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.638 * [taylor]: Taking taylor expansion of -1 in re 5.638 * [taylor]: Taking taylor expansion of re in re 5.638 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.638 * [taylor]: Taking taylor expansion of -1 in re 5.638 * [taylor]: Taking taylor expansion of im in re 5.638 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.638 * [taylor]: Taking taylor expansion of -1 in re 5.638 * [taylor]: Taking taylor expansion of im in re 5.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.641 * [taylor]: Taking taylor expansion of re in re 5.646 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.646 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.646 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.647 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.647 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.647 * [taylor]: Taking taylor expansion of -1 in re 5.647 * [taylor]: Taking taylor expansion of re in re 5.647 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.647 * [taylor]: Taking taylor expansion of -1 in re 5.647 * [taylor]: Taking taylor expansion of re in re 5.647 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.647 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.647 * [taylor]: Taking taylor expansion of -1 in re 5.647 * [taylor]: Taking taylor expansion of im in re 5.647 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.647 * [taylor]: Taking taylor expansion of -1 in re 5.647 * [taylor]: Taking taylor expansion of im in re 5.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.650 * [taylor]: Taking taylor expansion of re in re 5.655 * [taylor]: Taking taylor expansion of 0 in im 5.656 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 5.656 * [taylor]: Taking taylor expansion of +nan.0 in im 5.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.656 * [taylor]: Taking taylor expansion of im in im 5.661 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 5.661 * [taylor]: Taking taylor expansion of +nan.0 in im 5.661 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.661 * [taylor]: Taking taylor expansion of im in im 5.671 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 5.671 * [taylor]: Taking taylor expansion of +nan.0 in im 5.671 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 5.671 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 5.671 * [taylor]: Taking taylor expansion of 1/8 in im 5.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 5.672 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.672 * [taylor]: Taking taylor expansion of im in im 5.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 5.672 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 5.672 * [taylor]: Taking taylor expansion of +nan.0 in im 5.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 5.672 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.672 * [taylor]: Taking taylor expansion of im in im 5.699 * * * [progress]: simplifying candidates 5.700 * [simplify]: Simplifying using # : (expm1 (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (log1p (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp 1) (exp (* (cbrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))))) (exp (sqrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (exp 1) (exp (log (sqrt (+ re (hypot re im))))) (exp (log (sqrt 2.0))) (exp (log (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0)))) (exp (log (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))) (exp (log (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)))) (exp (log (sqrt (- re (hypot re im))))) (log (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (exp (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (* (cbrt (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (cbrt (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))))) (cbrt (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (* (* (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (sqrt (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (sqrt (exp (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (+ re (hypot re im)) 2.0) (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) 1) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 5.704 * * [simplify]: iteration 0 : 153 enodes (cost 1151 ) 5.730 * * [simplify]: iteration 1 : 325 enodes (cost 1018 ) 5.810 * * [simplify]: iteration 2 : 806 enodes (cost 963 ) 6.165 * * [simplify]: iteration 3 : 2154 enodes (cost 943 ) 6.973 * * [simplify]: iteration done : 5000 enodes (cost 939 ) 6.973 * [simplify]: Simplified to: (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp 1/2) E (exp 1/2) E (exp (* (cbrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))))) (exp (sqrt (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))) E (sqrt (+ re (hypot re im))) (sqrt 2.0) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (sqrt (- re (hypot re im))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (exp (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ (hypot re im) re)) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ (hypot re im) re) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ (hypot re im) re) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* 2.0 (+ (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ (hypot re im) re)) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (exp (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 3) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (fabs (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 (* +nan.0 (- (- im re) (* re re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re))) 0 6.974 * * * [progress]: adding candidates to table 7.251 * * [progress]: iteration 4 / 4 7.251 * * * [progress]: picking best candidate 7.260 * * * * [pick]: Picked # 7.260 * * * [progress]: localizing error 7.271 * * * [progress]: generating rewritten candidates 7.271 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 7.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 7.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 7.274 * * * [progress]: generating series expansions 7.274 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.274 * [approximate]: Taking taylor expansion of (fma (pow (pow re 2) 1/3) (pow re 1/3) (hypot re im)) in (re im) around 0 7.274 * [taylor]: Taking taylor expansion of (fma (pow (pow re 2) 1/3) (pow re 1/3) (hypot re im)) in im 7.274 * [taylor]: Rewrote expression to (+ (* (pow (pow re 2) 1/3) (pow re 1/3)) (hypot re im)) 7.274 * [taylor]: Taking taylor expansion of (* (pow (pow re 2) 1/3) (pow re 1/3)) in im 7.274 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in im 7.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in im 7.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in im 7.274 * [taylor]: Taking taylor expansion of 1/3 in im 7.274 * [taylor]: Taking taylor expansion of (log (pow re 2)) in im 7.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.274 * [taylor]: Taking taylor expansion of re in im 7.274 * [taylor]: Taking taylor expansion of (pow re 1/3) in im 7.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in im 7.275 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in im 7.275 * [taylor]: Taking taylor expansion of 1/3 in im 7.275 * [taylor]: Taking taylor expansion of (log re) in im 7.275 * [taylor]: Taking taylor expansion of re in im 7.275 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.275 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.275 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.275 * [taylor]: Taking taylor expansion of (* re re) in im 7.275 * [taylor]: Taking taylor expansion of re in im 7.275 * [taylor]: Taking taylor expansion of re in im 7.275 * [taylor]: Taking taylor expansion of (* im im) in im 7.275 * [taylor]: Taking taylor expansion of im in im 7.275 * [taylor]: Taking taylor expansion of im in im 7.276 * [taylor]: Taking taylor expansion of (fma (pow (pow re 2) 1/3) (pow re 1/3) (hypot re im)) in re 7.276 * [taylor]: Rewrote expression to (+ (* (pow (pow re 2) 1/3) (pow re 1/3)) (hypot re im)) 7.276 * [taylor]: Taking taylor expansion of (* (pow (pow re 2) 1/3) (pow re 1/3)) in re 7.276 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re 7.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re 7.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re 7.276 * [taylor]: Taking taylor expansion of 1/3 in re 7.276 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re 7.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.276 * [taylor]: Taking taylor expansion of re in re 7.277 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.277 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.277 * [taylor]: Taking taylor expansion of 1/3 in re 7.277 * [taylor]: Taking taylor expansion of (log re) in re 7.277 * [taylor]: Taking taylor expansion of re in re 7.278 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.278 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.278 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.278 * [taylor]: Taking taylor expansion of (* re re) in re 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [taylor]: Taking taylor expansion of (* im im) in re 7.278 * [taylor]: Taking taylor expansion of im in re 7.278 * [taylor]: Taking taylor expansion of im in re 7.279 * [taylor]: Taking taylor expansion of (fma (pow (pow re 2) 1/3) (pow re 1/3) (hypot re im)) in re 7.279 * [taylor]: Rewrote expression to (+ (* (pow (pow re 2) 1/3) (pow re 1/3)) (hypot re im)) 7.279 * [taylor]: Taking taylor expansion of (* (pow (pow re 2) 1/3) (pow re 1/3)) in re 7.279 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re 7.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re 7.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re 7.279 * [taylor]: Taking taylor expansion of 1/3 in re 7.279 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re 7.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.279 * [taylor]: Taking taylor expansion of re in re 7.280 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.280 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.280 * [taylor]: Taking taylor expansion of 1/3 in re 7.280 * [taylor]: Taking taylor expansion of (log re) in re 7.280 * [taylor]: Taking taylor expansion of re in re 7.281 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.281 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.281 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.281 * [taylor]: Taking taylor expansion of (* re re) in re 7.281 * [taylor]: Taking taylor expansion of re in re 7.281 * [taylor]: Taking taylor expansion of re in re 7.281 * [taylor]: Taking taylor expansion of (* im im) in re 7.281 * [taylor]: Taking taylor expansion of im in re 7.281 * [taylor]: Taking taylor expansion of im in re 7.282 * [taylor]: Taking taylor expansion of (+ re im) in im 7.282 * [taylor]: Taking taylor expansion of re in im 7.282 * [taylor]: Taking taylor expansion of im in im 7.287 * [taylor]: Taking taylor expansion of 0 in im 7.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.295 * [taylor]: Taking taylor expansion of 1/2 in im 7.295 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.295 * [taylor]: Taking taylor expansion of im in im 7.309 * [taylor]: Taking taylor expansion of 0 in im 7.310 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 7.310 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3) (hypot (/ 1 re) (/ 1 im))) in im 7.310 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) (hypot (/ 1 re) (/ 1 im))) 7.310 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) in im 7.310 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 7.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 7.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 7.310 * [taylor]: Taking taylor expansion of 1/3 in im 7.310 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 7.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.310 * [taylor]: Taking taylor expansion of re in im 7.311 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.311 * [taylor]: Taking taylor expansion of 1/3 in im 7.311 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.311 * [taylor]: Taking taylor expansion of re in im 7.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.311 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.311 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.311 * [taylor]: Taking taylor expansion of re in im 7.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.311 * [taylor]: Taking taylor expansion of re in im 7.311 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.311 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.311 * [taylor]: Taking taylor expansion of im in im 7.311 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.311 * [taylor]: Taking taylor expansion of im in im 7.314 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3) (hypot (/ 1 re) (/ 1 im))) in re 7.314 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) (hypot (/ 1 re) (/ 1 im))) 7.314 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) in re 7.314 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in re 7.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in re 7.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in re 7.314 * [taylor]: Taking taylor expansion of 1/3 in re 7.314 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in re 7.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.314 * [taylor]: Taking taylor expansion of re in re 7.315 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.315 * [taylor]: Taking taylor expansion of 1/3 in re 7.316 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.316 * [taylor]: Taking taylor expansion of re in re 7.316 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.316 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.316 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.316 * [taylor]: Taking taylor expansion of re in re 7.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.317 * [taylor]: Taking taylor expansion of re in re 7.317 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.317 * [taylor]: Taking taylor expansion of im in re 7.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.317 * [taylor]: Taking taylor expansion of im in re 7.320 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3) (hypot (/ 1 re) (/ 1 im))) in re 7.320 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) (hypot (/ 1 re) (/ 1 im))) 7.320 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (pow (/ 1 re) 1/3)) in re 7.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in re 7.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in re 7.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in re 7.320 * [taylor]: Taking taylor expansion of 1/3 in re 7.320 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in re 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.320 * [taylor]: Taking taylor expansion of re in re 7.321 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.321 * [taylor]: Taking taylor expansion of 1/3 in re 7.321 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.321 * [taylor]: Taking taylor expansion of re in re 7.322 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.322 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.322 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.322 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.322 * [taylor]: Taking taylor expansion of re in re 7.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.322 * [taylor]: Taking taylor expansion of re in re 7.323 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.323 * [taylor]: Taking taylor expansion of im in re 7.323 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.323 * [taylor]: Taking taylor expansion of im in re 7.325 * [taylor]: Taking taylor expansion of 1 in im 7.326 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.326 * [taylor]: Taking taylor expansion of re in im 7.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.336 * [taylor]: Taking taylor expansion of 1/2 in im 7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.336 * [taylor]: Taking taylor expansion of im in im 7.348 * [taylor]: Taking taylor expansion of 0 in im 7.364 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow im 4)))) in im 7.364 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 7.364 * [taylor]: Taking taylor expansion of 1/8 in im 7.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 7.364 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.364 * [taylor]: Taking taylor expansion of im in im 7.370 * [approximate]: Taking taylor expansion of (fma (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3)) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 7.370 * [taylor]: Taking taylor expansion of (fma (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3)) (hypot (/ -1 re) (/ -1 im))) in im 7.370 * [taylor]: Rewrote expression to (+ (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) (hypot (/ -1 re) (/ -1 im))) 7.370 * [taylor]: Taking taylor expansion of (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) in im 7.370 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) in im 7.370 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in im 7.370 * [taylor]: Taking taylor expansion of (cbrt -1) in im 7.370 * [taylor]: Taking taylor expansion of -1 in im 7.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 7.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 7.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 7.371 * [taylor]: Taking taylor expansion of 1/3 in im 7.371 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 7.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.371 * [taylor]: Taking taylor expansion of re in im 7.371 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in im 7.371 * [taylor]: Taking taylor expansion of (cbrt -1) in im 7.371 * [taylor]: Taking taylor expansion of -1 in im 7.372 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.372 * [taylor]: Taking taylor expansion of 1/3 in im 7.372 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.372 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.372 * [taylor]: Taking taylor expansion of re in im 7.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.373 * [taylor]: Taking taylor expansion of -1 in im 7.373 * [taylor]: Taking taylor expansion of re in im 7.373 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.373 * [taylor]: Taking taylor expansion of -1 in im 7.373 * [taylor]: Taking taylor expansion of re in im 7.373 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.373 * [taylor]: Taking taylor expansion of -1 in im 7.373 * [taylor]: Taking taylor expansion of im in im 7.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.373 * [taylor]: Taking taylor expansion of -1 in im 7.373 * [taylor]: Taking taylor expansion of im in im 7.376 * [taylor]: Taking taylor expansion of (fma (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3)) (hypot (/ -1 re) (/ -1 im))) in re 7.376 * [taylor]: Rewrote expression to (+ (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) (hypot (/ -1 re) (/ -1 im))) 7.376 * [taylor]: Taking taylor expansion of (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) in re 7.376 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) in re 7.376 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in re 7.376 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.376 * [taylor]: Taking taylor expansion of -1 in re 7.377 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in re 7.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in re 7.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in re 7.377 * [taylor]: Taking taylor expansion of 1/3 in re 7.377 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in re 7.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.377 * [taylor]: Taking taylor expansion of re in re 7.378 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.378 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.378 * [taylor]: Taking taylor expansion of -1 in re 7.379 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.379 * [taylor]: Taking taylor expansion of 1/3 in re 7.379 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.379 * [taylor]: Taking taylor expansion of re in re 7.380 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.380 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.380 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.380 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.380 * [taylor]: Taking taylor expansion of -1 in re 7.380 * [taylor]: Taking taylor expansion of re in re 7.380 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.380 * [taylor]: Taking taylor expansion of -1 in re 7.380 * [taylor]: Taking taylor expansion of re in re 7.380 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.380 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.380 * [taylor]: Taking taylor expansion of -1 in re 7.380 * [taylor]: Taking taylor expansion of im in re 7.380 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.381 * [taylor]: Taking taylor expansion of -1 in re 7.381 * [taylor]: Taking taylor expansion of im in re 7.383 * [taylor]: Taking taylor expansion of (fma (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3)) (hypot (/ -1 re) (/ -1 im))) in re 7.383 * [taylor]: Rewrote expression to (+ (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) (hypot (/ -1 re) (/ -1 im))) 7.383 * [taylor]: Taking taylor expansion of (* (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) (* (cbrt -1) (pow (/ 1 re) 1/3))) in re 7.383 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow re 2)) 1/3)) in re 7.383 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in re 7.383 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.383 * [taylor]: Taking taylor expansion of -1 in re 7.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in re 7.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in re 7.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in re 7.384 * [taylor]: Taking taylor expansion of 1/3 in re 7.384 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in re 7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.384 * [taylor]: Taking taylor expansion of re in re 7.385 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.385 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.385 * [taylor]: Taking taylor expansion of -1 in re 7.386 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.386 * [taylor]: Taking taylor expansion of 1/3 in re 7.386 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.386 * [taylor]: Taking taylor expansion of re in re 7.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.387 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.387 * [taylor]: Taking taylor expansion of -1 in re 7.387 * [taylor]: Taking taylor expansion of re in re 7.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.387 * [taylor]: Taking taylor expansion of -1 in re 7.387 * [taylor]: Taking taylor expansion of re in re 7.388 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.388 * [taylor]: Taking taylor expansion of -1 in re 7.388 * [taylor]: Taking taylor expansion of im in re 7.388 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.388 * [taylor]: Taking taylor expansion of -1 in re 7.388 * [taylor]: Taking taylor expansion of im in re 7.391 * [taylor]: Taking taylor expansion of 1 in im 7.394 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 7.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.394 * [taylor]: Taking taylor expansion of re in im 7.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.404 * [taylor]: Taking taylor expansion of 1/2 in im 7.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.405 * [taylor]: Taking taylor expansion of im in im 7.424 * [taylor]: Taking taylor expansion of 0 in im 7.445 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow im 4)))) in im 7.445 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 7.445 * [taylor]: Taking taylor expansion of 1/8 in im 7.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 7.445 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.445 * [taylor]: Taking taylor expansion of im in im 7.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 7.451 * [approximate]: Taking taylor expansion of (pow re 1/3) in (re) around 0 7.451 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.451 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.451 * [taylor]: Taking taylor expansion of 1/3 in re 7.451 * [taylor]: Taking taylor expansion of (log re) in re 7.451 * [taylor]: Taking taylor expansion of re in re 7.451 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.451 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.451 * [taylor]: Taking taylor expansion of 1/3 in re 7.451 * [taylor]: Taking taylor expansion of (log re) in re 7.451 * [taylor]: Taking taylor expansion of re in re 7.503 * [approximate]: Taking taylor expansion of (pow (/ 1 re) 1/3) in (re) around 0 7.503 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.503 * [taylor]: Taking taylor expansion of 1/3 in re 7.503 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.503 * [taylor]: Taking taylor expansion of re in re 7.504 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.504 * [taylor]: Taking taylor expansion of 1/3 in re 7.504 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.504 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.504 * [taylor]: Taking taylor expansion of re in re 7.556 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in (re) around 0 7.556 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.556 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.556 * [taylor]: Taking taylor expansion of -1 in re 7.556 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.557 * [taylor]: Taking taylor expansion of 1/3 in re 7.557 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.557 * [taylor]: Taking taylor expansion of re in re 7.557 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.557 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.557 * [taylor]: Taking taylor expansion of -1 in re 7.558 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.558 * [taylor]: Taking taylor expansion of 1/3 in re 7.558 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.558 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.558 * [taylor]: Taking taylor expansion of re in re 7.624 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 7.624 * [approximate]: Taking taylor expansion of (pow re 1/3) in (re) around 0 7.624 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.624 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.624 * [taylor]: Taking taylor expansion of 1/3 in re 7.624 * [taylor]: Taking taylor expansion of (log re) in re 7.624 * [taylor]: Taking taylor expansion of re in re 7.625 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.625 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.625 * [taylor]: Taking taylor expansion of 1/3 in re 7.625 * [taylor]: Taking taylor expansion of (log re) in re 7.625 * [taylor]: Taking taylor expansion of re in re 7.677 * [approximate]: Taking taylor expansion of (pow (/ 1 re) 1/3) in (re) around 0 7.677 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.677 * [taylor]: Taking taylor expansion of 1/3 in re 7.677 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.677 * [taylor]: Taking taylor expansion of re in re 7.678 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.678 * [taylor]: Taking taylor expansion of 1/3 in re 7.678 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.678 * [taylor]: Taking taylor expansion of re in re 7.733 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in (re) around 0 7.733 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.733 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.733 * [taylor]: Taking taylor expansion of -1 in re 7.734 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.734 * [taylor]: Taking taylor expansion of 1/3 in re 7.734 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.734 * [taylor]: Taking taylor expansion of re in re 7.734 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.734 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.734 * [taylor]: Taking taylor expansion of -1 in re 7.735 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.735 * [taylor]: Taking taylor expansion of 1/3 in re 7.735 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.735 * [taylor]: Taking taylor expansion of re in re 7.801 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 7.801 * [approximate]: Taking taylor expansion of (pow re 1/3) in (re) around 0 7.801 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.801 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.801 * [taylor]: Taking taylor expansion of 1/3 in re 7.801 * [taylor]: Taking taylor expansion of (log re) in re 7.801 * [taylor]: Taking taylor expansion of re in re 7.802 * [taylor]: Taking taylor expansion of (pow re 1/3) in re 7.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log re))) in re 7.802 * [taylor]: Taking taylor expansion of (* 1/3 (log re)) in re 7.802 * [taylor]: Taking taylor expansion of 1/3 in re 7.802 * [taylor]: Taking taylor expansion of (log re) in re 7.802 * [taylor]: Taking taylor expansion of re in re 7.850 * [approximate]: Taking taylor expansion of (pow (/ 1 re) 1/3) in (re) around 0 7.850 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.850 * [taylor]: Taking taylor expansion of 1/3 in re 7.850 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.850 * [taylor]: Taking taylor expansion of re in re 7.851 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.851 * [taylor]: Taking taylor expansion of 1/3 in re 7.851 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.851 * [taylor]: Taking taylor expansion of re in re 7.904 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in (re) around 0 7.904 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.904 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.904 * [taylor]: Taking taylor expansion of -1 in re 7.905 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.905 * [taylor]: Taking taylor expansion of 1/3 in re 7.905 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.905 * [taylor]: Taking taylor expansion of re in re 7.906 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 re) 1/3)) in re 7.906 * [taylor]: Taking taylor expansion of (cbrt -1) in re 7.906 * [taylor]: Taking taylor expansion of -1 in re 7.907 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in re 7.907 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in re 7.907 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in re 7.907 * [taylor]: Taking taylor expansion of 1/3 in re 7.907 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in re 7.907 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.907 * [taylor]: Taking taylor expansion of re in re 7.972 * * * [progress]: simplifying candidates 7.972 * [simplify]: Simplifying using # : (expm1 (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (log1p (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (* (* (cbrt re) (cbrt re)) (cbrt re)) (log (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (exp (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (* (cbrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (cbrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)))) (cbrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (* (* (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im)) (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (sqrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (sqrt (fma (* (cbrt re) (cbrt re)) (cbrt re) (hypot re im))) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (* (cbrt re) (cbrt re))) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) (cbrt 1) (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) (* (* (cbrt re) (cbrt re)) (cbrt re)) (sqrt (cbrt re)) (sqrt (cbrt re)) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (* (cbrt re) (cbrt re))) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) (cbrt 1) (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) (* (* (cbrt re) (cbrt re)) (cbrt re)) (sqrt (cbrt re)) (sqrt (cbrt re)) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (* (cbrt re) (cbrt re))) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) (cbrt 1) (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) (* (* (cbrt re) (cbrt re)) (cbrt re)) (sqrt (cbrt re)) (sqrt (cbrt re)) (+ re im) (* 2 re) 0 (pow re 1/3) (pow (/ 1 re) -1/3) (* (pow (* -1 re) 1/3) (cbrt -1)) (pow re 1/3) (pow (/ 1 re) -1/3) (* (pow (* -1 re) 1/3) (cbrt -1)) (pow re 1/3) (pow (/ 1 re) -1/3) (* (pow (* -1 re) 1/3) (cbrt -1)) 7.974 * * [simplify]: iteration 0 : 42 enodes (cost 372 ) 7.980 * * [simplify]: iteration 1 : 62 enodes (cost 360 ) 7.989 * * [simplify]: iteration 2 : 121 enodes (cost 286 ) 8.013 * * [simplify]: iteration 3 : 293 enodes (cost 244 ) 8.098 * * [simplify]: iteration 4 : 1040 enodes (cost 244 ) 9.150 * * [simplify]: iteration done : 5000 enodes (cost 244 ) 9.150 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) 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)) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (pow re 2/3)) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) 1 (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) re (sqrt (cbrt re)) (sqrt (cbrt re)) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (pow re 2/3)) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) 1 (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) re (sqrt (cbrt re)) (sqrt (cbrt re)) (expm1 (cbrt re)) (log1p (cbrt re)) (log (cbrt re)) (exp (cbrt re)) (cbrt (pow re 2/3)) (cbrt (cbrt re)) (cbrt (sqrt re)) (cbrt (sqrt re)) 1 (cbrt re) (* (cbrt (cbrt re)) (cbrt (cbrt re))) (cbrt (cbrt re)) re (sqrt (cbrt re)) (sqrt (cbrt re)) (+ re im) (* 2 re) 0 (cbrt re) (pow (/ 1 re) -1/3) (* (cbrt -1) (cbrt (- re))) (cbrt re) (pow (/ 1 re) -1/3) (* (cbrt -1) (cbrt (- re))) (cbrt re) (pow (/ 1 re) -1/3) (* (cbrt -1) (cbrt (- re))) 9.151 * * * [progress]: adding candidates to table 9.330 * [progress]: [Phase 3 of 3] Extracting. 9.330 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 9.332 * * * [regime-changes]: Trying 2 branch expressions: (im re) 9.332 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 9.369 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 9.405 * * * [regime]: Found split indices: #