8.153 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.031 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.032 * * [simplify]: iteration 1 : 19 enodes (cost 10 ) 0.034 * * [simplify]: iteration 2 : 28 enodes (cost 10 ) 0.038 * * [simplify]: iteration 3 : 35 enodes (cost 10 ) 0.041 * * [simplify]: iteration 4 : 41 enodes (cost 10 ) 0.046 * * [simplify]: iteration 5 : 43 enodes (cost 10 ) 0.051 * * [simplify]: iteration done : 43 enodes (cost 10 ) 0.051 * [simplify]: Simplified to: (* 0.5 (sqrt (* (- (hypot re im) re) 2.0))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.072 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.072 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.073 * [taylor]: Taking taylor expansion of (* re re) in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of re in im 0.073 * [taylor]: Taking taylor expansion of (* im im) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.075 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.075 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.075 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.075 * [taylor]: Taking taylor expansion of (* re re) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (* im im) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.076 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.076 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.076 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.076 * [taylor]: Taking taylor expansion of (* re re) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of (* im im) in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.076 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.078 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of -1 in im 0.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.080 * [taylor]: Taking taylor expansion of 1/2 in im 0.080 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.087 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.088 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.088 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.088 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.091 * [taylor]: Taking taylor expansion of re in im 0.091 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.091 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.091 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.091 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.092 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.094 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.094 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.109 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.109 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.109 * [taylor]: Taking taylor expansion of -1 in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.109 * [taylor]: Taking taylor expansion of -1 in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.109 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.109 * [taylor]: Taking taylor expansion of -1 in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.110 * [taylor]: Taking taylor expansion of -1 in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.113 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.113 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.113 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.113 * [taylor]: Taking taylor expansion of -1 in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.113 * [taylor]: Taking taylor expansion of -1 in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.113 * [taylor]: Taking taylor expansion of -1 in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.113 * [taylor]: Taking taylor expansion of -1 in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.116 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.116 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.116 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.116 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.116 * [taylor]: Taking taylor expansion of -1 in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.117 * [taylor]: Taking taylor expansion of -1 in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.117 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.117 * [taylor]: Taking taylor expansion of -1 in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.117 * [taylor]: Taking taylor expansion of -1 in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of 2 in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.130 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.130 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 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 (- (hypot re im) re)) in im 0.131 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.131 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.131 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.131 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.131 * [taylor]: Taking taylor expansion of (* re re) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [taylor]: Taking taylor expansion of (* im im) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.136 * [taylor]: Taking taylor expansion of 2.0 in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.137 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.137 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.137 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.137 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.137 * [taylor]: Taking taylor expansion of (* re re) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (* im im) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.139 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.139 * [taylor]: Taking taylor expansion of 2.0 in re 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.140 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.140 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.140 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.140 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.140 * [taylor]: Taking taylor expansion of (* re re) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of (* im im) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.142 * [taylor]: Taking taylor expansion of 2.0 in im 0.143 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.143 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.146 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.146 * [taylor]: Taking taylor expansion of 1/2 in im 0.146 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.146 * [taylor]: Taking taylor expansion of 2.0 in im 0.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.170 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.170 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.170 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.170 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.170 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.170 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.173 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.174 * [taylor]: Taking taylor expansion of 2.0 in im 0.175 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.175 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.183 * [taylor]: Taking taylor expansion of 2.0 in re 0.184 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.184 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.184 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.184 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.184 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.187 * [taylor]: Taking taylor expansion of re in re 0.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.192 * [taylor]: Taking taylor expansion of 2.0 in re 0.193 * [taylor]: Taking taylor expansion of 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 (/ (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 0.202 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.202 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.202 * [taylor]: Taking taylor expansion of +nan.0 in im 0.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.202 * [taylor]: Taking taylor expansion of 2.0 in im 0.203 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.218 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.218 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.218 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.218 * [taylor]: Taking taylor expansion of +nan.0 in im 0.218 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.218 * [taylor]: Taking taylor expansion of 2.0 in im 0.219 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.220 * [taylor]: Taking taylor expansion of +nan.0 in im 0.220 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.220 * [taylor]: Taking taylor expansion of 2.0 in im 0.221 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.245 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.245 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.246 * [taylor]: Taking taylor expansion of 2.0 in im 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.246 * [taylor]: Taking taylor expansion of re in im 0.246 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.246 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.246 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.246 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.247 * [taylor]: Taking taylor expansion of -1 in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.247 * [taylor]: Taking taylor expansion of -1 in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.247 * [taylor]: Taking taylor expansion of -1 in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.247 * [taylor]: Taking taylor expansion of -1 in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.251 * [taylor]: Taking taylor expansion of 2.0 in re 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.252 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.252 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.252 * [taylor]: Taking taylor expansion of -1 in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.252 * [taylor]: Taking taylor expansion of -1 in re 0.252 * [taylor]: Taking taylor expansion of re in re 0.253 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.253 * [taylor]: Taking taylor expansion of -1 in re 0.253 * [taylor]: Taking taylor expansion of im in re 0.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.253 * [taylor]: Taking taylor expansion of -1 in re 0.253 * [taylor]: Taking taylor expansion of im in re 0.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.256 * [taylor]: Taking taylor expansion of 2.0 in re 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.257 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.257 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.263 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.263 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.263 * [taylor]: Taking taylor expansion of +nan.0 in im 0.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.263 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.268 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.268 * [taylor]: Taking taylor expansion of +nan.0 in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.269 * [taylor]: Taking taylor expansion of 2.0 in im 0.277 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.277 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.277 * [taylor]: Taking taylor expansion of +nan.0 in im 0.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.277 * [taylor]: Taking taylor expansion of 2.0 in im 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.279 * [taylor]: Taking taylor expansion of +nan.0 in im 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.279 * [taylor]: Taking taylor expansion of 2.0 in im 0.290 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.290 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.290 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.290 * [taylor]: Taking taylor expansion of +nan.0 in im 0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.290 * [taylor]: Taking taylor expansion of 2.0 in im 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.291 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.291 * [taylor]: Taking taylor expansion of +nan.0 in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.304 * * * [progress]: simplifying candidates 0.305 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (* (* (sqrt (* (- (hypot re im) re) 2.0)) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.308 * * [simplify]: iteration 0 : 107 enodes (cost 626 ) 0.331 * * [simplify]: iteration 1 : 220 enodes (cost 520 ) 0.382 * * [simplify]: iteration 2 : 540 enodes (cost 446 ) 0.625 * * [simplify]: iteration 3 : 1928 enodes (cost 400 ) 1.332 * * [simplify]: iteration done : 5000 enodes (cost 399 ) 1.333 * [simplify]: Simplified to: (- (pow (cbrt (hypot re im)) 3) re) (- re re) (- (pow (cbrt (hypot re im)) 3) re) (- re re) (- (pow (cbrt (hypot re im)) 3) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (+ (hypot re im) re) (hypot re im))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (pow (sqrt (* (- (hypot re im) re) 2.0)) 3) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* (- (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (fma re re (* (+ (hypot re im) re) (hypot re im)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (+ (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (- (- im (* im re)) (pow im 2))) 0 (fma (sqrt 2.0) (- +nan.0) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 1.333 * * * [progress]: adding candidates to table 1.439 * * [progress]: iteration 2 / 4 1.439 * * * [progress]: picking best candidate 1.450 * * * * [pick]: Picked # 1.450 * * * [progress]: localizing error 1.460 * * * [progress]: generating rewritten candidates 1.460 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 1.460 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.463 * * * [progress]: generating series expansions 1.463 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 1.463 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.463 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.463 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.463 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.463 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.463 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.463 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.463 * [taylor]: Taking taylor expansion of (* re re) in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [taylor]: Taking taylor expansion of (* im im) in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of im in im 1.465 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.465 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.465 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.465 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.465 * [taylor]: Taking taylor expansion of (* re re) in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [taylor]: Taking taylor expansion of (* im im) in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of (- re) in im 1.466 * [taylor]: Taking taylor expansion of re in im 1.466 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.466 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.466 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.466 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.466 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.466 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.466 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.466 * [taylor]: Taking taylor expansion of (* re re) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [taylor]: Taking taylor expansion of (* im im) in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.468 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.468 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.468 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.468 * [taylor]: Taking taylor expansion of (* re re) in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of (* im im) in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.469 * [taylor]: Taking taylor expansion of (- re) in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.469 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.469 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.469 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.469 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.469 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.469 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.469 * [taylor]: Taking taylor expansion of (* re re) in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [taylor]: Taking taylor expansion of (* im im) in re 1.469 * [taylor]: Taking taylor expansion of im in re 1.469 * [taylor]: Taking taylor expansion of im in re 1.470 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.470 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.470 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.470 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.471 * [taylor]: Taking taylor expansion of (* re re) in re 1.471 * [taylor]: Taking taylor expansion of re in re 1.471 * [taylor]: Taking taylor expansion of re in re 1.471 * [taylor]: Taking taylor expansion of (* im im) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.472 * [taylor]: Taking taylor expansion of (- re) in re 1.472 * [taylor]: Taking taylor expansion of re in re 1.472 * [taylor]: Taking taylor expansion of im in im 1.473 * [taylor]: Taking taylor expansion of -1 in im 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.477 * [taylor]: Taking taylor expansion of 1/2 in im 1.477 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.477 * [taylor]: Taking taylor expansion of im in im 1.482 * [taylor]: Taking taylor expansion of 0 in im 1.483 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.483 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.483 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.483 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.483 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.483 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.484 * [taylor]: Taking taylor expansion of im in im 1.487 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.487 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.488 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.488 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.488 * [taylor]: Taking taylor expansion of re in im 1.488 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.492 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.492 * [taylor]: Taking taylor expansion of re in im 1.492 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.492 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.492 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.492 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.492 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.492 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.493 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.493 * [taylor]: Taking taylor expansion of im in re 1.496 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.496 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.496 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.497 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.500 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.500 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.501 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.501 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.501 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.501 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.501 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.501 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.501 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.501 * [taylor]: Taking taylor expansion of re in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.501 * [taylor]: Taking taylor expansion of re in re 1.501 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.501 * [taylor]: Taking taylor expansion of im in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.502 * [taylor]: Taking taylor expansion of im in re 1.505 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.505 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.505 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.505 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.505 * [taylor]: Taking taylor expansion of re in re 1.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.505 * [taylor]: Taking taylor expansion of re in re 1.506 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.506 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.509 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.509 * [taylor]: Taking taylor expansion of re in re 1.510 * [taylor]: Taking taylor expansion of 0 in im 1.511 * [taylor]: Taking taylor expansion of -1 in im 1.516 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.517 * [taylor]: Taking taylor expansion of +nan.0 in im 1.531 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.531 * [taylor]: Taking taylor expansion of +nan.0 in im 1.539 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.539 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.539 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.539 * [taylor]: Taking taylor expansion of +nan.0 in im 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.539 * [taylor]: Taking taylor expansion of im in im 1.540 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.540 * [taylor]: Taking taylor expansion of +nan.0 in im 1.542 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.542 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.542 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.542 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.542 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.542 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.542 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.542 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.542 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of im in im 1.543 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.543 * [taylor]: Taking taylor expansion of -1 in im 1.543 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.547 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.547 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.547 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.547 * [taylor]: Taking taylor expansion of -1 in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.551 * [taylor]: Taking taylor expansion of re in im 1.551 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.551 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.551 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.552 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.552 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.552 * [taylor]: Taking taylor expansion of -1 in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.556 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.556 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.556 * [taylor]: Taking taylor expansion of -1 in re 1.556 * [taylor]: Taking taylor expansion of re in re 1.557 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.557 * [taylor]: Taking taylor expansion of -1 in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.561 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.561 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.561 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.561 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.561 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.561 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.561 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.561 * [taylor]: Taking taylor expansion of -1 in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.561 * [taylor]: Taking taylor expansion of -1 in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.562 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.562 * [taylor]: Taking taylor expansion of -1 in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.562 * [taylor]: Taking taylor expansion of -1 in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.565 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.565 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.565 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.565 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.565 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.565 * [taylor]: Taking taylor expansion of -1 in re 1.565 * [taylor]: Taking taylor expansion of re in re 1.566 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.566 * [taylor]: Taking taylor expansion of -1 in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.566 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.566 * [taylor]: Taking taylor expansion of -1 in re 1.566 * [taylor]: Taking taylor expansion of im in re 1.566 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.566 * [taylor]: Taking taylor expansion of -1 in re 1.566 * [taylor]: Taking taylor expansion of im in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.570 * [taylor]: Taking taylor expansion of 0 in im 1.571 * [taylor]: Taking taylor expansion of 1 in im 1.577 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.577 * [taylor]: Taking taylor expansion of +nan.0 in im 1.585 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.585 * [taylor]: Taking taylor expansion of +nan.0 in im 1.594 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.594 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.594 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.594 * [taylor]: Taking taylor expansion of +nan.0 in im 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.594 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.594 * [taylor]: Taking taylor expansion of im in im 1.594 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.594 * [taylor]: Taking taylor expansion of +nan.0 in im 1.597 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.597 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in (re im) around 0 1.597 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in im 1.597 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 1.597 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.597 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.597 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.597 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.597 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.597 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.597 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.597 * [taylor]: Taking taylor expansion of (* re re) in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [taylor]: Taking taylor expansion of (* im im) in im 1.597 * [taylor]: Taking taylor expansion of im in im 1.597 * [taylor]: Taking taylor expansion of im in im 1.599 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.599 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.599 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.599 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.599 * [taylor]: Taking taylor expansion of (* re re) in im 1.599 * [taylor]: Taking taylor expansion of re in im 1.599 * [taylor]: Taking taylor expansion of re in im 1.599 * [taylor]: Taking taylor expansion of (* im im) in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.600 * [taylor]: Taking taylor expansion of (- re) in im 1.600 * [taylor]: Taking taylor expansion of re in im 1.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.614 * [taylor]: Taking taylor expansion of 2.0 in im 1.615 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.615 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.615 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.615 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.615 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.615 * [taylor]: Taking taylor expansion of (* re re) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [taylor]: Taking taylor expansion of (* im im) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.616 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.616 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.616 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.616 * [taylor]: Taking taylor expansion of (* re re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of (* im im) in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.616 * [taylor]: Taking taylor expansion of im in re 1.618 * [taylor]: Taking taylor expansion of (- re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.618 * [taylor]: Taking taylor expansion of 2.0 in re 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.619 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.619 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.619 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.619 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.619 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.619 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.619 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.619 * [taylor]: Taking taylor expansion of (* re re) in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [taylor]: Taking taylor expansion of (* im im) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.621 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.621 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.621 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.621 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.621 * [taylor]: Taking taylor expansion of (* re re) in re 1.621 * [taylor]: Taking taylor expansion of re in re 1.621 * [taylor]: Taking taylor expansion of re in re 1.621 * [taylor]: Taking taylor expansion of (* im im) in re 1.621 * [taylor]: Taking taylor expansion of im in re 1.621 * [taylor]: Taking taylor expansion of im in re 1.622 * [taylor]: Taking taylor expansion of (- re) in re 1.622 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.623 * [taylor]: Taking taylor expansion of 2.0 in re 1.624 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.624 * [taylor]: Taking taylor expansion of 2.0 in im 1.625 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.625 * [taylor]: Taking taylor expansion of im in im 1.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.628 * [taylor]: Taking taylor expansion of 1/2 in im 1.628 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.628 * [taylor]: Taking taylor expansion of 2.0 in im 1.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.629 * [taylor]: Taking taylor expansion of im in im 1.649 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in (re im) around 0 1.649 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im 1.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.649 * [taylor]: Taking taylor expansion of 2.0 in im 1.649 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 1.649 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.649 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.650 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.650 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.650 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.650 * [taylor]: Taking taylor expansion of im in im 1.654 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.654 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.654 * [taylor]: Taking taylor expansion of im in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.654 * [taylor]: Taking taylor expansion of im in im 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.658 * [taylor]: Taking taylor expansion of re in im 1.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.673 * [taylor]: Taking taylor expansion of 2.0 in re 1.674 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.674 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.674 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.674 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.674 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.674 * [taylor]: Taking taylor expansion of re in re 1.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.674 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.675 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.675 * [taylor]: Taking taylor expansion of im in re 1.678 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.678 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.678 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.678 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.678 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.678 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.679 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.682 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.682 * [taylor]: Taking taylor expansion of re in re 1.684 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.685 * [taylor]: Taking taylor expansion of 2.0 in re 1.685 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.685 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.685 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.685 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.685 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.685 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.685 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.686 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.686 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.686 * [taylor]: Taking taylor expansion of re in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.686 * [taylor]: Taking taylor expansion of re in re 1.686 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.686 * [taylor]: Taking taylor expansion of im in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.686 * [taylor]: Taking taylor expansion of im in re 1.689 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.690 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.690 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.690 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.690 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.690 * [taylor]: Taking taylor expansion of re in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.690 * [taylor]: Taking taylor expansion of re in re 1.690 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.690 * [taylor]: Taking taylor expansion of im in re 1.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.690 * [taylor]: Taking taylor expansion of im in re 1.699 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.699 * [taylor]: Taking taylor expansion of re in re 1.702 * [taylor]: Taking taylor expansion of 0 in im 1.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.703 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.703 * [taylor]: Taking taylor expansion of +nan.0 in im 1.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.703 * [taylor]: Taking taylor expansion of 2.0 in im 1.716 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.716 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.716 * [taylor]: Taking taylor expansion of +nan.0 in im 1.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.716 * [taylor]: Taking taylor expansion of 2.0 in im 1.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.733 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.733 * [taylor]: Taking taylor expansion of +nan.0 in im 1.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.733 * [taylor]: Taking taylor expansion of 2.0 in im 1.739 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.739 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in im 1.739 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 1.739 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.739 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.739 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.739 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.739 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.739 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.739 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.739 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.739 * [taylor]: Taking taylor expansion of -1 in im 1.739 * [taylor]: Taking taylor expansion of re in im 1.739 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.739 * [taylor]: Taking taylor expansion of -1 in im 1.739 * [taylor]: Taking taylor expansion of re in im 1.739 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.739 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.739 * [taylor]: Taking taylor expansion of -1 in im 1.739 * [taylor]: Taking taylor expansion of im in im 1.740 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.740 * [taylor]: Taking taylor expansion of -1 in im 1.740 * [taylor]: Taking taylor expansion of im in im 1.743 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.743 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.743 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.744 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.744 * [taylor]: Taking taylor expansion of -1 in im 1.744 * [taylor]: Taking taylor expansion of re in im 1.744 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.744 * [taylor]: Taking taylor expansion of -1 in im 1.744 * [taylor]: Taking taylor expansion of re in im 1.744 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.744 * [taylor]: Taking taylor expansion of -1 in im 1.744 * [taylor]: Taking taylor expansion of im in im 1.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.744 * [taylor]: Taking taylor expansion of -1 in im 1.744 * [taylor]: Taking taylor expansion of im in im 1.748 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.748 * [taylor]: Taking taylor expansion of re in im 1.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.763 * [taylor]: Taking taylor expansion of 2.0 in im 1.764 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 1.764 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.764 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.764 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.764 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.764 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.764 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.764 * [taylor]: Taking taylor expansion of -1 in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.764 * [taylor]: Taking taylor expansion of -1 in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.765 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.765 * [taylor]: Taking taylor expansion of -1 in re 1.765 * [taylor]: Taking taylor expansion of im in re 1.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.765 * [taylor]: Taking taylor expansion of -1 in re 1.765 * [taylor]: Taking taylor expansion of im in re 1.768 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.768 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.768 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.768 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.768 * [taylor]: Taking taylor expansion of -1 in re 1.768 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.769 * [taylor]: Taking taylor expansion of -1 in re 1.769 * [taylor]: Taking taylor expansion of re in re 1.769 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.769 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.769 * [taylor]: Taking taylor expansion of -1 in re 1.769 * [taylor]: Taking taylor expansion of im in re 1.769 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.769 * [taylor]: Taking taylor expansion of -1 in re 1.769 * [taylor]: Taking taylor expansion of im in re 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.773 * [taylor]: Taking taylor expansion of re in re 1.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.780 * [taylor]: Taking taylor expansion of 2.0 in re 1.781 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 1.781 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.781 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.781 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.781 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.781 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.781 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.781 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.781 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.781 * [taylor]: Taking taylor expansion of -1 in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.781 * [taylor]: Taking taylor expansion of -1 in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.782 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.782 * [taylor]: Taking taylor expansion of -1 in re 1.782 * [taylor]: Taking taylor expansion of im in re 1.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.782 * [taylor]: Taking taylor expansion of -1 in re 1.782 * [taylor]: Taking taylor expansion of im in re 1.785 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.785 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.785 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.786 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.786 * [taylor]: Taking taylor expansion of -1 in re 1.786 * [taylor]: Taking taylor expansion of re in re 1.786 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.786 * [taylor]: Taking taylor expansion of -1 in re 1.786 * [taylor]: Taking taylor expansion of re in re 1.786 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.786 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.786 * [taylor]: Taking taylor expansion of -1 in re 1.786 * [taylor]: Taking taylor expansion of im in re 1.786 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.786 * [taylor]: Taking taylor expansion of -1 in re 1.786 * [taylor]: Taking taylor expansion of im in re 1.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.790 * [taylor]: Taking taylor expansion of re in re 1.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.792 * [taylor]: Taking taylor expansion of 2.0 in re 1.793 * [taylor]: Taking taylor expansion of 0 in im 1.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.795 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.795 * [taylor]: Taking taylor expansion of +nan.0 in im 1.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.795 * [taylor]: Taking taylor expansion of 2.0 in im 1.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.809 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.809 * [taylor]: Taking taylor expansion of +nan.0 in im 1.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.809 * [taylor]: Taking taylor expansion of 2.0 in im 1.828 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.828 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.828 * [taylor]: Taking taylor expansion of +nan.0 in im 1.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.828 * [taylor]: Taking taylor expansion of 2.0 in im 1.834 * * * [progress]: simplifying candidates 1.835 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +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))))))) 1.837 * * [simplify]: iteration 0 : 63 enodes (cost 457 ) 1.846 * * [simplify]: iteration 1 : 136 enodes (cost 303 ) 1.873 * * [simplify]: iteration 2 : 395 enodes (cost 254 ) 2.068 * * [simplify]: iteration 3 : 1401 enodes (cost 241 ) 3.823 * * [simplify]: iteration 4 : 4879 enodes (cost 239 ) 4.550 * * [simplify]: iteration done : 5000 enodes (cost 239 ) 4.550 * [simplify]: Simplified to: (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (hypot re im) (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 (sqrt (* 2.0 (- (hypot re im) re)))) (log1p (sqrt (* 2.0 (- (hypot re im) re)))) (log (sqrt (* 2.0 (- (hypot re im) re)))) (exp (sqrt (* 2.0 (- (hypot re im) re)))) (* (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (cbrt (sqrt (* 2.0 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (- (hypot re im) re)))) (pow (sqrt (* 2.0 (- (hypot re im) re))) 3) (sqrt (- (hypot re im) re)) (sqrt 2.0) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (sqrt (sqrt (* 2.0 (- (hypot re im) re)))) (- im re) (- (fma +nan.0 (/ (pow im 2) (pow re 2)) (- re +nan.0))) (- (fma +nan.0 (/ (pow im 2) (pow re 2)) (- re +nan.0))) (- (* (* +nan.0 (sqrt 2.0)) (- (* im (+ re im)) im))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 4.550 * * * [progress]: adding candidates to table 4.623 * * [progress]: iteration 3 / 4 4.623 * * * [progress]: picking best candidate 4.628 * * * * [pick]: Picked # 4.628 * * * [progress]: localizing error 4.644 * * * [progress]: generating rewritten candidates 4.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 4.665 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 4.667 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 4.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.727 * * * [progress]: generating series expansions 4.727 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 4.728 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 4.728 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.728 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.728 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.728 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.728 * [taylor]: Taking taylor expansion of (* re re) in im 4.728 * [taylor]: Taking taylor expansion of re in im 4.728 * [taylor]: Taking taylor expansion of re in im 4.728 * [taylor]: Taking taylor expansion of (* im im) in im 4.728 * [taylor]: Taking taylor expansion of im in im 4.728 * [taylor]: Taking taylor expansion of im in im 4.730 * [taylor]: Taking taylor expansion of re in im 4.730 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.730 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.730 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.730 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.730 * [taylor]: Taking taylor expansion of (* re re) in re 4.730 * [taylor]: Taking taylor expansion of re in re 4.730 * [taylor]: Taking taylor expansion of re in re 4.730 * [taylor]: Taking taylor expansion of (* im im) in re 4.730 * [taylor]: Taking taylor expansion of im in re 4.730 * [taylor]: Taking taylor expansion of im in re 4.731 * [taylor]: Taking taylor expansion of re in re 4.731 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.731 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.731 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.731 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.731 * [taylor]: Taking taylor expansion of (* re re) in re 4.731 * [taylor]: Taking taylor expansion of re in re 4.731 * [taylor]: Taking taylor expansion of re in re 4.731 * [taylor]: Taking taylor expansion of (* im im) in re 4.731 * [taylor]: Taking taylor expansion of im in re 4.731 * [taylor]: Taking taylor expansion of im in re 4.732 * [taylor]: Taking taylor expansion of re in re 4.732 * [taylor]: Taking taylor expansion of im in im 4.733 * [taylor]: Taking taylor expansion of -1 in im 4.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.735 * [taylor]: Taking taylor expansion of 1/2 in im 4.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.735 * [taylor]: Taking taylor expansion of im in im 4.738 * [taylor]: Taking taylor expansion of 0 in im 4.739 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 4.739 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 4.739 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.739 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.739 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.739 * [taylor]: Taking taylor expansion of re in im 4.739 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.739 * [taylor]: Taking taylor expansion of re in im 4.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.739 * [taylor]: Taking taylor expansion of im in im 4.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.739 * [taylor]: Taking taylor expansion of im in im 4.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.742 * [taylor]: Taking taylor expansion of re in im 4.742 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.742 * [taylor]: Taking taylor expansion of re in re 4.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.742 * [taylor]: Taking taylor expansion of re in re 4.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.743 * [taylor]: Taking taylor expansion of im in re 4.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.743 * [taylor]: Taking taylor expansion of im in re 4.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.745 * [taylor]: Taking taylor expansion of re in re 4.745 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 4.745 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.746 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.746 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.746 * [taylor]: Taking taylor expansion of re in re 4.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.746 * [taylor]: Taking taylor expansion of re in re 4.746 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.746 * [taylor]: Taking taylor expansion of im in re 4.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.746 * [taylor]: Taking taylor expansion of im in re 4.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.749 * [taylor]: Taking taylor expansion of re in re 4.749 * [taylor]: Taking taylor expansion of 0 in im 4.750 * [taylor]: Taking taylor expansion of 0 in im 4.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.753 * [taylor]: Taking taylor expansion of 1/2 in im 4.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.753 * [taylor]: Taking taylor expansion of im in im 4.758 * [taylor]: Taking taylor expansion of 0 in im 4.760 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 4.760 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 4.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.760 * [taylor]: Taking taylor expansion of re in im 4.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.760 * [taylor]: Taking taylor expansion of -1 in im 4.760 * [taylor]: Taking taylor expansion of re in im 4.760 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.760 * [taylor]: Taking taylor expansion of -1 in im 4.760 * [taylor]: Taking taylor expansion of re in im 4.760 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.760 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.760 * [taylor]: Taking taylor expansion of -1 in im 4.760 * [taylor]: Taking taylor expansion of im in im 4.761 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.761 * [taylor]: Taking taylor expansion of -1 in im 4.761 * [taylor]: Taking taylor expansion of im in im 4.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.763 * [taylor]: Taking taylor expansion of re in re 4.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.764 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.764 * [taylor]: Taking taylor expansion of -1 in re 4.764 * [taylor]: Taking taylor expansion of re in re 4.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.764 * [taylor]: Taking taylor expansion of -1 in re 4.764 * [taylor]: Taking taylor expansion of re in re 4.764 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.765 * [taylor]: Taking taylor expansion of -1 in re 4.765 * [taylor]: Taking taylor expansion of im in re 4.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.765 * [taylor]: Taking taylor expansion of -1 in re 4.765 * [taylor]: Taking taylor expansion of im in re 4.767 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 4.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.767 * [taylor]: Taking taylor expansion of re in re 4.767 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.767 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.767 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.768 * [taylor]: Taking taylor expansion of -1 in re 4.768 * [taylor]: Taking taylor expansion of re in re 4.768 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.768 * [taylor]: Taking taylor expansion of -1 in re 4.768 * [taylor]: Taking taylor expansion of re in re 4.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.768 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.768 * [taylor]: Taking taylor expansion of -1 in re 4.768 * [taylor]: Taking taylor expansion of im in re 4.768 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.768 * [taylor]: Taking taylor expansion of -1 in re 4.768 * [taylor]: Taking taylor expansion of im in re 4.771 * [taylor]: Taking taylor expansion of 2 in im 4.772 * [taylor]: Taking taylor expansion of 0 in im 4.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.780 * [taylor]: Taking taylor expansion of 1/2 in im 4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.780 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.780 * [taylor]: Taking taylor expansion of im in im 4.784 * [taylor]: Taking taylor expansion of 0 in im 4.786 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.786 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 1/3) 3) in (re im) around 0 4.786 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/3) 3) in im 4.786 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 4.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 4.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 4.786 * [taylor]: Taking taylor expansion of 1/3 in im 4.786 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 4.786 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.786 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.786 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.786 * [taylor]: Taking taylor expansion of (* re re) in im 4.786 * [taylor]: Taking taylor expansion of re in im 4.786 * [taylor]: Taking taylor expansion of re in im 4.786 * [taylor]: Taking taylor expansion of (* im im) in im 4.786 * [taylor]: Taking taylor expansion of im in im 4.786 * [taylor]: Taking taylor expansion of im in im 4.788 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/3) 3) in re 4.788 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 4.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 4.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 4.788 * [taylor]: Taking taylor expansion of 1/3 in re 4.788 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.788 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.788 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.788 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.788 * [taylor]: Taking taylor expansion of (* re re) in re 4.788 * [taylor]: Taking taylor expansion of re in re 4.788 * [taylor]: Taking taylor expansion of re in re 4.788 * [taylor]: Taking taylor expansion of (* im im) in re 4.788 * [taylor]: Taking taylor expansion of im in re 4.788 * [taylor]: Taking taylor expansion of im in re 4.789 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 1/3) 3) in re 4.789 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 4.789 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 4.789 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 4.789 * [taylor]: Taking taylor expansion of 1/3 in re 4.789 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.789 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.790 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.790 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.790 * [taylor]: Taking taylor expansion of (* re re) in re 4.790 * [taylor]: Taking taylor expansion of re in re 4.790 * [taylor]: Taking taylor expansion of re in re 4.790 * [taylor]: Taking taylor expansion of (* im im) in re 4.790 * [taylor]: Taking taylor expansion of im in re 4.790 * [taylor]: Taking taylor expansion of im in re 4.791 * [taylor]: Taking taylor expansion of im in im 4.793 * [taylor]: Taking taylor expansion of 0 in im 4.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.798 * [taylor]: Taking taylor expansion of 1/2 in im 4.798 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.798 * [taylor]: Taking taylor expansion of im in im 4.805 * [taylor]: Taking taylor expansion of 0 in im 4.806 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 3) in (re im) around 0 4.806 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 3) in im 4.806 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 4.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 4.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 4.806 * [taylor]: Taking taylor expansion of 1/3 in im 4.806 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 4.806 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.806 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.806 * [taylor]: Taking taylor expansion of re in im 4.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.806 * [taylor]: Taking taylor expansion of re in im 4.806 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.806 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.806 * [taylor]: Taking taylor expansion of im in im 4.806 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.806 * [taylor]: Taking taylor expansion of im in im 4.810 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 3) in re 4.810 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 4.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.810 * [taylor]: Taking taylor expansion of 1/3 in re 4.810 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.810 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.810 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.810 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.810 * [taylor]: Taking taylor expansion of re in re 4.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.810 * [taylor]: Taking taylor expansion of re in re 4.811 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.811 * [taylor]: Taking taylor expansion of im in re 4.811 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.811 * [taylor]: Taking taylor expansion of im in re 4.814 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 3) in re 4.814 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 4.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.814 * [taylor]: Taking taylor expansion of 1/3 in re 4.814 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.814 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.814 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.814 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.814 * [taylor]: Taking taylor expansion of re in re 4.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.814 * [taylor]: Taking taylor expansion of re in re 4.814 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.814 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.815 * [taylor]: Taking taylor expansion of im in re 4.815 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.815 * [taylor]: Taking taylor expansion of im in re 4.818 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.818 * [taylor]: Taking taylor expansion of re in im 4.820 * [taylor]: Taking taylor expansion of 0 in im 4.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 4.827 * [taylor]: Taking taylor expansion of 1/2 in im 4.827 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 4.827 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 4.827 * [taylor]: Taking taylor expansion of re in im 4.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.827 * [taylor]: Taking taylor expansion of im in im 4.836 * [taylor]: Taking taylor expansion of 0 in im 4.837 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 3) in (re im) around 0 4.837 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 3) in im 4.837 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 4.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 4.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 4.837 * [taylor]: Taking taylor expansion of 1/3 in im 4.837 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 4.837 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.837 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.837 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.837 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.837 * [taylor]: Taking taylor expansion of -1 in im 4.837 * [taylor]: Taking taylor expansion of re in im 4.837 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.837 * [taylor]: Taking taylor expansion of -1 in im 4.837 * [taylor]: Taking taylor expansion of re in im 4.837 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.837 * [taylor]: Taking taylor expansion of -1 in im 4.837 * [taylor]: Taking taylor expansion of im in im 4.837 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.837 * [taylor]: Taking taylor expansion of -1 in im 4.837 * [taylor]: Taking taylor expansion of im in im 4.841 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 3) in re 4.841 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 4.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.841 * [taylor]: Taking taylor expansion of 1/3 in re 4.841 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.841 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.841 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.841 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.841 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.841 * [taylor]: Taking taylor expansion of -1 in re 4.841 * [taylor]: Taking taylor expansion of re in re 4.841 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.841 * [taylor]: Taking taylor expansion of -1 in re 4.841 * [taylor]: Taking taylor expansion of re in re 4.842 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.842 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.842 * [taylor]: Taking taylor expansion of -1 in re 4.842 * [taylor]: Taking taylor expansion of im in re 4.842 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.842 * [taylor]: Taking taylor expansion of -1 in re 4.842 * [taylor]: Taking taylor expansion of im in re 4.845 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 3) in re 4.845 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 4.845 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.845 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.845 * [taylor]: Taking taylor expansion of 1/3 in re 4.845 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.845 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.845 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.845 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.845 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.845 * [taylor]: Taking taylor expansion of -1 in re 4.845 * [taylor]: Taking taylor expansion of re in re 4.845 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.845 * [taylor]: Taking taylor expansion of -1 in re 4.845 * [taylor]: Taking taylor expansion of re in re 4.846 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.846 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.846 * [taylor]: Taking taylor expansion of -1 in re 4.846 * [taylor]: Taking taylor expansion of im in re 4.846 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.846 * [taylor]: Taking taylor expansion of -1 in re 4.846 * [taylor]: Taking taylor expansion of im in re 4.849 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.849 * [taylor]: Taking taylor expansion of re in im 4.851 * [taylor]: Taking taylor expansion of 0 in im 4.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 4.857 * [taylor]: Taking taylor expansion of 1/2 in im 4.857 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 4.857 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 4.857 * [taylor]: Taking taylor expansion of re in im 4.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.857 * [taylor]: Taking taylor expansion of im in im 4.872 * [taylor]: Taking taylor expansion of 0 in im 4.872 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 4.872 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 4.872 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 4.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 4.872 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 4.872 * [taylor]: Taking taylor expansion of 1/3 in im 4.872 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 4.872 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.873 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.873 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.873 * [taylor]: Taking taylor expansion of (* re re) in im 4.873 * [taylor]: Taking taylor expansion of re in im 4.873 * [taylor]: Taking taylor expansion of re in im 4.873 * [taylor]: Taking taylor expansion of (* im im) in im 4.873 * [taylor]: Taking taylor expansion of im in im 4.873 * [taylor]: Taking taylor expansion of im in im 4.874 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 4.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 4.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 4.874 * [taylor]: Taking taylor expansion of 1/3 in re 4.874 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.874 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.874 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.874 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.874 * [taylor]: Taking taylor expansion of (* re re) in re 4.874 * [taylor]: Taking taylor expansion of re in re 4.874 * [taylor]: Taking taylor expansion of re in re 4.874 * [taylor]: Taking taylor expansion of (* im im) in re 4.874 * [taylor]: Taking taylor expansion of im in re 4.874 * [taylor]: Taking taylor expansion of im in re 4.875 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 4.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 4.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 4.875 * [taylor]: Taking taylor expansion of 1/3 in re 4.875 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 4.875 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.875 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.875 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.875 * [taylor]: Taking taylor expansion of (* re re) in re 4.875 * [taylor]: Taking taylor expansion of re in re 4.875 * [taylor]: Taking taylor expansion of re in re 4.876 * [taylor]: Taking taylor expansion of (* im im) in re 4.876 * [taylor]: Taking taylor expansion of im in re 4.876 * [taylor]: Taking taylor expansion of im in re 4.877 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 4.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 4.877 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 4.877 * [taylor]: Taking taylor expansion of 1/3 in im 4.877 * [taylor]: Taking taylor expansion of (log im) in im 4.877 * [taylor]: Taking taylor expansion of im in im 4.879 * [taylor]: Taking taylor expansion of 0 in im 4.883 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 4.883 * [taylor]: Taking taylor expansion of 1/6 in im 4.883 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 4.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 4.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 4.883 * [taylor]: Taking taylor expansion of 1/3 in im 4.883 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 4.883 * [taylor]: Taking taylor expansion of (pow im 5) in im 4.883 * [taylor]: Taking taylor expansion of im in im 4.893 * [taylor]: Taking taylor expansion of 0 in im 4.900 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 4.901 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 4.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 4.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 4.901 * [taylor]: Taking taylor expansion of 1/3 in im 4.901 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 4.901 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.901 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.901 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.901 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.901 * [taylor]: Taking taylor expansion of re in im 4.901 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.901 * [taylor]: Taking taylor expansion of re in im 4.901 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.901 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.901 * [taylor]: Taking taylor expansion of im in im 4.901 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.901 * [taylor]: Taking taylor expansion of im in im 4.904 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 4.904 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.904 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.904 * [taylor]: Taking taylor expansion of 1/3 in re 4.904 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.904 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.905 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.905 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.905 * [taylor]: Taking taylor expansion of re in re 4.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.905 * [taylor]: Taking taylor expansion of re in re 4.905 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.905 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.905 * [taylor]: Taking taylor expansion of im in re 4.905 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.905 * [taylor]: Taking taylor expansion of im in re 4.908 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 4.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 4.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 4.908 * [taylor]: Taking taylor expansion of 1/3 in re 4.908 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 4.908 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.908 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.908 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.908 * [taylor]: Taking taylor expansion of re in re 4.909 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.909 * [taylor]: Taking taylor expansion of re in re 4.909 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.909 * [taylor]: Taking taylor expansion of im in re 4.909 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.909 * [taylor]: Taking taylor expansion of im in re 4.912 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 4.912 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 4.912 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 4.912 * [taylor]: Taking taylor expansion of -1/3 in im 4.912 * [taylor]: Taking taylor expansion of (log re) in im 4.912 * [taylor]: Taking taylor expansion of re in im 4.914 * [taylor]: Taking taylor expansion of 0 in im 4.920 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 4.920 * [taylor]: Taking taylor expansion of 1/6 in im 4.920 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 4.920 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 4.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 4.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 4.920 * [taylor]: Taking taylor expansion of 1/3 in im 4.920 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.920 * [taylor]: Taking taylor expansion of re in im 4.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.920 * [taylor]: Taking taylor expansion of im in im 4.936 * [taylor]: Taking taylor expansion of 0 in im 4.936 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 4.936 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 4.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 4.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 4.936 * [taylor]: Taking taylor expansion of 1/3 in im 4.936 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 4.936 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.936 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.936 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.936 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.936 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.936 * [taylor]: Taking taylor expansion of -1 in im 4.936 * [taylor]: Taking taylor expansion of re in im 4.936 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.936 * [taylor]: Taking taylor expansion of -1 in im 4.936 * [taylor]: Taking taylor expansion of re in im 4.936 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.936 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.936 * [taylor]: Taking taylor expansion of -1 in im 4.936 * [taylor]: Taking taylor expansion of im in im 4.937 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.937 * [taylor]: Taking taylor expansion of -1 in im 4.937 * [taylor]: Taking taylor expansion of im in im 4.940 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 4.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.940 * [taylor]: Taking taylor expansion of 1/3 in re 4.940 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.940 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.940 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.940 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.940 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.940 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.940 * [taylor]: Taking taylor expansion of -1 in re 4.940 * [taylor]: Taking taylor expansion of re in re 4.941 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.941 * [taylor]: Taking taylor expansion of -1 in re 4.941 * [taylor]: Taking taylor expansion of re in re 4.941 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.941 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.941 * [taylor]: Taking taylor expansion of -1 in re 4.941 * [taylor]: Taking taylor expansion of im in re 4.941 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.941 * [taylor]: Taking taylor expansion of -1 in re 4.941 * [taylor]: Taking taylor expansion of im in re 4.944 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 4.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 4.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 4.944 * [taylor]: Taking taylor expansion of 1/3 in re 4.944 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 4.944 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.944 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.944 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.944 * [taylor]: Taking taylor expansion of -1 in re 4.944 * [taylor]: Taking taylor expansion of re in re 4.945 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.945 * [taylor]: Taking taylor expansion of -1 in re 4.945 * [taylor]: Taking taylor expansion of re in re 4.950 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.950 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.950 * [taylor]: Taking taylor expansion of -1 in re 4.950 * [taylor]: Taking taylor expansion of im in re 4.950 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.950 * [taylor]: Taking taylor expansion of -1 in re 4.950 * [taylor]: Taking taylor expansion of im in re 4.953 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 4.953 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 4.953 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 4.953 * [taylor]: Taking taylor expansion of -1/3 in im 4.953 * [taylor]: Taking taylor expansion of (log re) in im 4.953 * [taylor]: Taking taylor expansion of re in im 4.955 * [taylor]: Taking taylor expansion of 0 in im 4.961 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 4.961 * [taylor]: Taking taylor expansion of 1/6 in im 4.961 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 4.961 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 4.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 4.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 4.961 * [taylor]: Taking taylor expansion of 1/3 in im 4.961 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.961 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.961 * [taylor]: Taking taylor expansion of re in im 4.961 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.961 * [taylor]: Taking taylor expansion of im in im 4.977 * [taylor]: Taking taylor expansion of 0 in im 4.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.977 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 4.977 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 4.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.978 * [taylor]: Taking taylor expansion of 2.0 in im 4.978 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 4.978 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 4.978 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.978 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.978 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.978 * [taylor]: Taking taylor expansion of (* re re) in im 4.978 * [taylor]: Taking taylor expansion of re in im 4.978 * [taylor]: Taking taylor expansion of re in im 4.978 * [taylor]: Taking taylor expansion of (* im im) in im 4.978 * [taylor]: Taking taylor expansion of im in im 4.978 * [taylor]: Taking taylor expansion of im in im 4.979 * [taylor]: Taking taylor expansion of re in im 4.983 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 4.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.983 * [taylor]: Taking taylor expansion of 2.0 in re 4.984 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 4.984 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.984 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.984 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.984 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.984 * [taylor]: Taking taylor expansion of (* re re) in re 4.984 * [taylor]: Taking taylor expansion of re in re 4.984 * [taylor]: Taking taylor expansion of re in re 4.984 * [taylor]: Taking taylor expansion of (* im im) in re 4.984 * [taylor]: Taking taylor expansion of im in re 4.984 * [taylor]: Taking taylor expansion of im in re 4.985 * [taylor]: Taking taylor expansion of re in re 4.986 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 4.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.986 * [taylor]: Taking taylor expansion of 2.0 in re 4.987 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 4.987 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 4.987 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.987 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.987 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.987 * [taylor]: Taking taylor expansion of (* re re) in re 4.987 * [taylor]: Taking taylor expansion of re in re 4.987 * [taylor]: Taking taylor expansion of re in re 4.987 * [taylor]: Taking taylor expansion of (* im im) in re 4.987 * [taylor]: Taking taylor expansion of im in re 4.987 * [taylor]: Taking taylor expansion of im in re 4.988 * [taylor]: Taking taylor expansion of re in re 4.989 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 4.989 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.989 * [taylor]: Taking taylor expansion of 2.0 in im 4.990 * [taylor]: Taking taylor expansion of (sqrt im) in im 4.990 * [taylor]: Taking taylor expansion of im in im 4.993 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 4.993 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 4.994 * [taylor]: Taking taylor expansion of 1/2 in im 4.994 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 4.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.994 * [taylor]: Taking taylor expansion of 2.0 in im 4.994 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 4.994 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.994 * [taylor]: Taking taylor expansion of im in im 5.013 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 5.013 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 5.013 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 5.013 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.013 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.013 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.013 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.013 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.013 * [taylor]: Taking taylor expansion of re in im 5.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.013 * [taylor]: Taking taylor expansion of re in im 5.013 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.013 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.014 * [taylor]: Taking taylor expansion of im in im 5.014 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.014 * [taylor]: Taking taylor expansion of im in im 5.016 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.016 * [taylor]: Taking taylor expansion of re in im 5.018 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.018 * [taylor]: Taking taylor expansion of 2.0 in im 5.018 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.018 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.018 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.018 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.018 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.019 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.019 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.019 * [taylor]: Taking taylor expansion of re in re 5.019 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.019 * [taylor]: Taking taylor expansion of re in re 5.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.019 * [taylor]: Taking taylor expansion of im in re 5.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.019 * [taylor]: Taking taylor expansion of im in re 5.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.022 * [taylor]: Taking taylor expansion of re in re 5.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.027 * [taylor]: Taking taylor expansion of 2.0 in re 5.027 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.027 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.027 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.032 * [taylor]: Taking taylor expansion of re in re 5.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.033 * [taylor]: Taking taylor expansion of re in re 5.033 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.033 * [taylor]: Taking taylor expansion of im in re 5.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.033 * [taylor]: Taking taylor expansion of im in re 5.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.035 * [taylor]: Taking taylor expansion of re in re 5.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.041 * [taylor]: Taking taylor expansion of 2.0 in re 5.042 * [taylor]: Taking taylor expansion of 0 in im 5.043 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.043 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.043 * [taylor]: Taking taylor expansion of +nan.0 in im 5.043 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.043 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.043 * [taylor]: Taking taylor expansion of 2.0 in im 5.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.043 * [taylor]: Taking taylor expansion of im in im 5.050 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 5.051 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.051 * [taylor]: Taking taylor expansion of +nan.0 in im 5.051 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.051 * [taylor]: Taking taylor expansion of 2.0 in im 5.051 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.051 * [taylor]: Taking taylor expansion of im in im 5.067 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 5.067 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 5.067 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.067 * [taylor]: Taking taylor expansion of +nan.0 in im 5.067 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.067 * [taylor]: Taking taylor expansion of 2.0 in im 5.068 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.068 * [taylor]: Taking taylor expansion of im in im 5.069 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 5.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 5.069 * [taylor]: Taking taylor expansion of +nan.0 in im 5.069 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 5.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.069 * [taylor]: Taking taylor expansion of 2.0 in im 5.069 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.070 * [taylor]: Taking taylor expansion of im in im 5.092 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 5.092 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 5.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.092 * [taylor]: Taking taylor expansion of 2.0 in im 5.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 5.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.093 * [taylor]: Taking taylor expansion of re in im 5.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.093 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.093 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.093 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.093 * [taylor]: Taking taylor expansion of -1 in im 5.093 * [taylor]: Taking taylor expansion of re in im 5.093 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.093 * [taylor]: Taking taylor expansion of -1 in im 5.093 * [taylor]: Taking taylor expansion of re in im 5.093 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.093 * [taylor]: Taking taylor expansion of -1 in im 5.093 * [taylor]: Taking taylor expansion of im in im 5.093 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.093 * [taylor]: Taking taylor expansion of -1 in im 5.094 * [taylor]: Taking taylor expansion of im in im 5.097 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 5.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.098 * [taylor]: Taking taylor expansion of 2.0 in re 5.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 5.098 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 5.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.098 * [taylor]: Taking taylor expansion of re in re 5.098 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.099 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.099 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.099 * [taylor]: Taking taylor expansion of -1 in re 5.099 * [taylor]: Taking taylor expansion of re in re 5.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.099 * [taylor]: Taking taylor expansion of -1 in re 5.099 * [taylor]: Taking taylor expansion of re in re 5.099 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.099 * [taylor]: Taking taylor expansion of -1 in re 5.099 * [taylor]: Taking taylor expansion of im in re 5.099 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.099 * [taylor]: Taking taylor expansion of -1 in re 5.099 * [taylor]: Taking taylor expansion of im in re 5.103 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 5.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.103 * [taylor]: Taking taylor expansion of 2.0 in re 5.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 5.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 5.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.104 * [taylor]: Taking taylor expansion of re in re 5.104 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.104 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.104 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.104 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.104 * [taylor]: Taking taylor expansion of -1 in re 5.104 * [taylor]: Taking taylor expansion of re in re 5.104 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.104 * [taylor]: Taking taylor expansion of -1 in re 5.104 * [taylor]: Taking taylor expansion of re in re 5.105 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.105 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.105 * [taylor]: Taking taylor expansion of -1 in re 5.105 * [taylor]: Taking taylor expansion of im in re 5.105 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.105 * [taylor]: Taking taylor expansion of -1 in re 5.105 * [taylor]: Taking taylor expansion of im in re 5.114 * [taylor]: Taking taylor expansion of 0 in im 5.115 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.115 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.115 * [taylor]: Taking taylor expansion of +nan.0 in im 5.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.115 * [taylor]: Taking taylor expansion of 2.0 in im 5.120 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.120 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.120 * [taylor]: Taking taylor expansion of +nan.0 in im 5.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.120 * [taylor]: Taking taylor expansion of 2.0 in im 5.128 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.128 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.128 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.128 * [taylor]: Taking taylor expansion of +nan.0 in im 5.128 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.128 * [taylor]: Taking taylor expansion of 2.0 in im 5.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.129 * [taylor]: Taking taylor expansion of im in im 5.130 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.130 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.130 * [taylor]: Taking taylor expansion of +nan.0 in im 5.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.130 * [taylor]: Taking taylor expansion of 2.0 in im 5.141 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.141 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.141 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.141 * [taylor]: Taking taylor expansion of +nan.0 in im 5.141 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.141 * [taylor]: Taking taylor expansion of 2.0 in im 5.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.142 * [taylor]: Taking taylor expansion of im in im 5.142 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.142 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.142 * [taylor]: Taking taylor expansion of +nan.0 in im 5.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.143 * [taylor]: Taking taylor expansion of 2.0 in im 5.155 * * * [progress]: simplifying candidates 5.157 * [simplify]: Simplifying using # : (fma (pow (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 3) (pow (cbrt (cbrt (hypot re im))) 3) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (pow (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 3) (pow (cbrt (cbrt (hypot re im))) 3) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (pow (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 3) (pow (cbrt (cbrt (hypot re im))) 3) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (pow (cbrt (sqrt (hypot re im))) 3) (pow (cbrt (sqrt (hypot re im))) 3) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (pow (cbrt (sqrt (hypot re im))) 3) (pow (cbrt (sqrt (hypot re im))) 3) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (pow (cbrt (sqrt 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(* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (* (cbrt (pow (cbrt (hypot re im)) 3)) (cbrt (pow (cbrt (hypot re im)) 3))) (cbrt (pow (cbrt (hypot re im)) 3)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (pow (cbrt (hypot re im)) 3)) (cbrt (pow (cbrt (hypot re im)) 3))) (cbrt (pow (cbrt (hypot re im)) 3)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (pow (cbrt (hypot re im)) 3)) (cbrt (pow (cbrt (hypot re im)) 3))) (cbrt (pow (cbrt (hypot re im)) 3)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (pow (cbrt 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im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (log1p (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (log (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (exp (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (* (cbrt (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (cbrt (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0)))) (cbrt (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (* (* (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0)) (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (sqrt (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re))) (sqrt 2.0) (sqrt (* (+ (* (- (pow (pow (cbrt (hypot re im)) 3) 3) (pow re 3)) (+ (* re re) (+ (* re re) (* re re)))) (* (+ (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (+ (* re re) (* (pow (cbrt (hypot re im)) 3) re))) (- (pow re 3) (pow re 3)))) 2.0)) (sqrt (* (+ (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (+ (* re re) (* (pow (cbrt (hypot re im)) 3) re))) (+ (* re re) (+ (* re re) (* re re))))) (sqrt (* (+ (* (- (pow (pow (cbrt (hypot re im)) 3) 3) (pow re 3)) (+ re re)) (* (+ (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (+ (* re re) (* (pow (cbrt (hypot re im)) 3) re))) (- (* re re) (* re re)))) 2.0)) (sqrt (* (+ (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (+ (* re re) (* (pow (cbrt (hypot re im)) 3) re))) (+ re re))) (sqrt (* (+ (* (- (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (* re re)) (+ (* re re) (+ (* re re) (* re re)))) (* (+ (pow (cbrt (hypot re im)) 3) re) (- (pow re 3) (pow re 3)))) 2.0)) (sqrt (* (+ (pow (cbrt (hypot re im)) 3) re) (+ (* re re) (+ (* re re) (* re re))))) (sqrt (* (+ (* (- (* (pow (cbrt (hypot re im)) 3) (pow (cbrt (hypot re im)) 3)) (* re re)) (+ re re)) (* (+ (pow (cbrt (hypot re im)) 3) re) (- (* re re) (* re re)))) 2.0)) (sqrt (* (+ (pow (cbrt (hypot re im)) 3) re) (+ re re))) (sqrt (* (+ (pow (- (pow (cbrt (hypot re im)) 3) re) 3) (pow (- re re) 3)) 2.0)) (sqrt (+ (* (- (pow (cbrt (hypot re im)) 3) re) (- (pow (cbrt (hypot re im)) 3) re)) (- (* (- re re) (- re re)) (* (- (pow (cbrt (hypot re im)) 3) re) (- re re))))) (sqrt (* (- (* (- (pow (cbrt (hypot re im)) 3) re) (- (pow (cbrt (hypot re im)) 3) re)) (* (- re re) (- re re))) 2.0)) (sqrt (- (- (pow (cbrt (hypot re im)) 3) re) (- re re))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (sqrt (sqrt (* (+ (- (pow (cbrt (hypot re im)) 3) re) (- re re)) 2.0))) (- im re) 0 (* -2 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 5.166 * * [simplify]: iteration 0 : 239 enodes (cost 3284 ) 5.228 * * [simplify]: iteration 1 : 540 enodes (cost 1823 ) 5.455 * * [simplify]: iteration 2 : 1620 enodes (cost 1230 ) 5.955 * * [simplify]: iteration done : 5000 enodes (cost 1228 ) 5.956 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re (+ (hypot re im) re) (pow (cbrt (hypot re im)) 6)) (- re) (- (pow (cbrt (hypot re im)) 6) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (+ (pow (sqrt (cbrt (hypot re im))) 3) (sqrt re)) (- (pow (sqrt (cbrt (hypot re im))) 3) (sqrt re)) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (+ (pow (sqrt (cbrt (hypot re im))) 3) (sqrt re)) (- (pow (sqrt (cbrt (hypot re im))) 3) (sqrt re)) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (+ (pow (cbrt (hypot re im)) 3/2) (sqrt re)) (- (pow (cbrt (hypot re im)) 3/2) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) (log (hypot re im)) (log (hypot re im)) 1 3 (pow (cbrt (hypot re im)) (* (cbrt 3) (cbrt 3))) (pow (cbrt (hypot re im)) (sqrt 3)) (cbrt (hypot re im)) (pow (cbrt (hypot re im)) 2) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (pow (cbrt (hypot re im)) 2) (cbrt (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 3) (pow (sqrt (cbrt (hypot re im))) 3) 1 (hypot re im) (pow (cbrt (hypot re im)) 2) (log (hypot re im)) (exp (hypot re im)) (pow (cbrt (hypot re im)) 2) (cbrt (hypot re im)) (pow (hypot re im) 3) (pow (cbrt (hypot re im)) 2) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (pow (cbrt (hypot re im)) 2) (cbrt (hypot re im)) (pow (sqrt (cbrt (hypot re im))) 3) (pow (sqrt (cbrt (hypot re im))) 3) 1 (hypot re im) (pow (cbrt (hypot re im)) 2) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (hypot re im)) 3/2) (pow (cbrt (hypot re im)) 3/2) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (pow (cbrt (hypot re im)) 2)) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (cbrt (pow (cbrt (hypot re im)) 2)) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) 3) (sqrt (+ (- (hypot re im) re) 0)) (sqrt 2.0) (sqrt (* (fma (- (pow (hypot re im) 3) (pow re 3)) (* 3 (* re re)) 0) 2.0)) (sqrt (* (* 3 (* re re)) (fma re (+ (hypot re im) re) (pow (cbrt (hypot re im)) 6)))) (sqrt (* 2.0 (fma (+ re re) (- (pow (hypot re im) 3) (pow re 3)) 0))) (sqrt (* (fma re (+ (hypot re im) re) (pow (cbrt (hypot re im)) 6)) (+ re re))) (sqrt (* 2.0 (fma (* 3 (* re re)) (- (pow (cbrt (hypot re im)) 6) (* re re)) 0))) (sqrt (* (+ (hypot re im) re) (* 3 (* re re)))) (sqrt (* 2.0 (fma (- (pow (cbrt (hypot re im)) 6) (* re re)) (+ re re) 0))) (sqrt (* (+ (hypot re im) re) (+ re re))) (sqrt (* (+ 0 (pow (- (hypot re im) re) 3)) 2.0)) (sqrt (fma (- (hypot re im) re) (- (hypot re im) re) (* 0 (- 0 (- (hypot re im) re))))) (sqrt (* (- (* (- (hypot re im) re) (- (hypot re im) re)) 0) 2.0)) (sqrt (- (- (hypot re im) re) 0)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (- im re) 0 (* -2 re) im re (- re) (fma (* (cbrt (/ 1 (pow im 5))) (pow re 2)) 1/6 (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (- (* (* +nan.0 (sqrt 2.0)) (- im (* im re))) (* +nan.0 (* (sqrt 2.0) (pow im 2)))) 0 (- (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re))) (* +nan.0 (sqrt 2.0))) 5.960 * * * [progress]: adding candidates to table 6.238 * * [progress]: iteration 4 / 4 6.238 * * * [progress]: picking best candidate 6.267 * * * * [pick]: Picked # 6.267 * * * [progress]: localizing error 6.279 * * * [progress]: generating rewritten candidates 6.279 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 1) 6.284 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 1 1) 6.291 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 6.322 * * * [progress]: generating series expansions 6.322 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 1) 6.323 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 6.323 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 6.323 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.323 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.323 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.323 * [taylor]: Taking taylor expansion of (* re re) in im 6.323 * [taylor]: Taking taylor expansion of re in im 6.323 * [taylor]: Taking taylor expansion of re in im 6.323 * [taylor]: Taking taylor expansion of (* im im) in im 6.323 * [taylor]: Taking taylor expansion of im in im 6.323 * [taylor]: Taking taylor expansion of im in im 6.324 * [taylor]: Taking taylor expansion of re in im 6.324 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.324 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.325 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.325 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.325 * [taylor]: Taking taylor expansion of (* re re) in re 6.325 * [taylor]: Taking taylor expansion of re in re 6.325 * [taylor]: Taking taylor expansion of re in re 6.325 * [taylor]: Taking taylor expansion of (* im im) in re 6.325 * [taylor]: Taking taylor expansion of im in re 6.325 * [taylor]: Taking taylor expansion of im in re 6.326 * [taylor]: Taking taylor expansion of re in re 6.326 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.326 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.326 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.326 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.326 * [taylor]: Taking taylor expansion of (* re re) in re 6.326 * [taylor]: Taking taylor expansion of re in re 6.326 * [taylor]: Taking taylor expansion of re in re 6.326 * [taylor]: Taking taylor expansion of (* im im) in re 6.326 * [taylor]: Taking taylor expansion of im in re 6.326 * [taylor]: Taking taylor expansion of im in re 6.327 * [taylor]: Taking taylor expansion of re in re 6.327 * [taylor]: Taking taylor expansion of im in im 6.328 * [taylor]: Taking taylor expansion of -1 in im 6.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.330 * [taylor]: Taking taylor expansion of 1/2 in im 6.330 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.330 * [taylor]: Taking taylor expansion of im in im 6.333 * [taylor]: Taking taylor expansion of 0 in im 6.334 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 6.334 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.335 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.335 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.335 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.335 * [taylor]: Taking taylor expansion of re in im 6.335 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.335 * [taylor]: Taking taylor expansion of re in im 6.335 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.335 * [taylor]: Taking taylor expansion of im in im 6.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.335 * [taylor]: Taking taylor expansion of im in im 6.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.338 * [taylor]: Taking taylor expansion of re in im 6.338 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.338 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.338 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.338 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.338 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.338 * [taylor]: Taking taylor expansion of re in re 6.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.338 * [taylor]: Taking taylor expansion of re in re 6.338 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.339 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.339 * [taylor]: Taking taylor expansion of im in re 6.339 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.339 * [taylor]: Taking taylor expansion of im in re 6.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.341 * [taylor]: Taking taylor expansion of re in re 6.341 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.341 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.341 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.341 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.342 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.342 * [taylor]: Taking taylor expansion of re in re 6.342 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.342 * [taylor]: Taking taylor expansion of re in re 6.342 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.342 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.342 * [taylor]: Taking taylor expansion of im in re 6.342 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.342 * [taylor]: Taking taylor expansion of im in re 6.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.345 * [taylor]: Taking taylor expansion of re in re 6.345 * [taylor]: Taking taylor expansion of 0 in im 6.346 * [taylor]: Taking taylor expansion of 0 in im 6.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.349 * [taylor]: Taking taylor expansion of 1/2 in im 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.349 * [taylor]: Taking taylor expansion of im in im 6.354 * [taylor]: Taking taylor expansion of 0 in im 6.356 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 6.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 6.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.356 * [taylor]: Taking taylor expansion of re in im 6.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.356 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.356 * [taylor]: Taking taylor expansion of -1 in im 6.356 * [taylor]: Taking taylor expansion of re in im 6.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.357 * [taylor]: Taking taylor expansion of -1 in im 6.357 * [taylor]: Taking taylor expansion of re in im 6.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.357 * [taylor]: Taking taylor expansion of -1 in im 6.357 * [taylor]: Taking taylor expansion of im in im 6.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.357 * [taylor]: Taking taylor expansion of -1 in im 6.357 * [taylor]: Taking taylor expansion of im in im 6.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.360 * [taylor]: Taking taylor expansion of re in re 6.360 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.360 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.360 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.360 * [taylor]: Taking taylor expansion of -1 in re 6.360 * [taylor]: Taking taylor expansion of re in re 6.360 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.361 * [taylor]: Taking taylor expansion of -1 in re 6.361 * [taylor]: Taking taylor expansion of re in re 6.361 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.361 * [taylor]: Taking taylor expansion of -1 in re 6.361 * [taylor]: Taking taylor expansion of im in re 6.361 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.361 * [taylor]: Taking taylor expansion of -1 in re 6.361 * [taylor]: Taking taylor expansion of im in re 6.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.364 * [taylor]: Taking taylor expansion of re in re 6.364 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.364 * [taylor]: Taking taylor expansion of -1 in re 6.364 * [taylor]: Taking taylor expansion of re in re 6.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.364 * [taylor]: Taking taylor expansion of -1 in re 6.364 * [taylor]: Taking taylor expansion of re in re 6.365 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.365 * [taylor]: Taking taylor expansion of -1 in re 6.365 * [taylor]: Taking taylor expansion of im in re 6.365 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.365 * [taylor]: Taking taylor expansion of -1 in re 6.365 * [taylor]: Taking taylor expansion of im in re 6.368 * [taylor]: Taking taylor expansion of 2 in im 6.369 * [taylor]: Taking taylor expansion of 0 in im 6.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.372 * [taylor]: Taking taylor expansion of 1/2 in im 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.372 * [taylor]: Taking taylor expansion of im in im 6.377 * [taylor]: Taking taylor expansion of 0 in im 6.379 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 1 1) 6.379 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.379 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.379 * [taylor]: Taking taylor expansion of (* re re) in im 6.379 * [taylor]: Taking taylor expansion of re in im 6.379 * [taylor]: Taking taylor expansion of re in im 6.379 * [taylor]: Taking taylor expansion of (* im im) in im 6.379 * [taylor]: Taking taylor expansion of im in im 6.379 * [taylor]: Taking taylor expansion of im in im 6.380 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.380 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.380 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.380 * [taylor]: Taking taylor expansion of (* re re) in re 6.380 * [taylor]: Taking taylor expansion of re in re 6.380 * [taylor]: Taking taylor expansion of re in re 6.380 * [taylor]: Taking taylor expansion of (* im im) in re 6.380 * [taylor]: Taking taylor expansion of im in re 6.380 * [taylor]: Taking taylor expansion of im in re 6.382 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.382 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.382 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.382 * [taylor]: Taking taylor expansion of (* re re) in re 6.382 * [taylor]: Taking taylor expansion of re in re 6.382 * [taylor]: Taking taylor expansion of re in re 6.382 * [taylor]: Taking taylor expansion of (* im im) in re 6.382 * [taylor]: Taking taylor expansion of im in re 6.382 * [taylor]: Taking taylor expansion of im in re 6.383 * [taylor]: Taking taylor expansion of im in im 6.383 * [taylor]: Taking taylor expansion of 0 in im 6.384 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.384 * [taylor]: Taking taylor expansion of 1/2 in im 6.384 * [taylor]: Taking taylor expansion of im in im 6.386 * [taylor]: Taking taylor expansion of 0 in im 6.387 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.387 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.387 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.387 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.387 * [taylor]: Taking taylor expansion of re in im 6.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.387 * [taylor]: Taking taylor expansion of re in im 6.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.387 * [taylor]: Taking taylor expansion of im in im 6.388 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.388 * [taylor]: Taking taylor expansion of im in im 6.390 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.391 * [taylor]: Taking taylor expansion of re in re 6.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.391 * [taylor]: Taking taylor expansion of re in re 6.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.391 * [taylor]: Taking taylor expansion of im in re 6.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.391 * [taylor]: Taking taylor expansion of im in re 6.394 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.394 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.394 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.394 * [taylor]: Taking taylor expansion of re in re 6.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.394 * [taylor]: Taking taylor expansion of re in re 6.394 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.394 * [taylor]: Taking taylor expansion of im in re 6.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.394 * [taylor]: Taking taylor expansion of im in re 6.397 * [taylor]: Taking taylor expansion of 1 in im 6.397 * [taylor]: Taking taylor expansion of 0 in im 6.405 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.406 * [taylor]: Taking taylor expansion of 1/2 in im 6.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.406 * [taylor]: Taking taylor expansion of im in im 6.409 * [taylor]: Taking taylor expansion of 0 in im 6.411 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 6.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.411 * [taylor]: Taking taylor expansion of -1 in im 6.411 * [taylor]: Taking taylor expansion of re in im 6.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.411 * [taylor]: Taking taylor expansion of -1 in im 6.411 * [taylor]: Taking taylor expansion of re in im 6.411 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.411 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.411 * [taylor]: Taking taylor expansion of -1 in im 6.411 * [taylor]: Taking taylor expansion of im in im 6.411 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.412 * [taylor]: Taking taylor expansion of -1 in im 6.412 * [taylor]: Taking taylor expansion of im in im 6.414 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.415 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.415 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.415 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.415 * [taylor]: Taking taylor expansion of -1 in re 6.415 * [taylor]: Taking taylor expansion of re in re 6.415 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.415 * [taylor]: Taking taylor expansion of -1 in re 6.415 * [taylor]: Taking taylor expansion of re in re 6.415 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.415 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.416 * [taylor]: Taking taylor expansion of -1 in re 6.416 * [taylor]: Taking taylor expansion of im in re 6.416 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.416 * [taylor]: Taking taylor expansion of -1 in re 6.416 * [taylor]: Taking taylor expansion of im in re 6.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.419 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.419 * [taylor]: Taking taylor expansion of -1 in re 6.419 * [taylor]: Taking taylor expansion of re in re 6.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.419 * [taylor]: Taking taylor expansion of -1 in re 6.419 * [taylor]: Taking taylor expansion of re in re 6.419 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.419 * [taylor]: Taking taylor expansion of -1 in re 6.419 * [taylor]: Taking taylor expansion of im in re 6.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.419 * [taylor]: Taking taylor expansion of -1 in re 6.419 * [taylor]: Taking taylor expansion of im in re 6.422 * [taylor]: Taking taylor expansion of 1 in im 6.422 * [taylor]: Taking taylor expansion of 0 in im 6.425 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.425 * [taylor]: Taking taylor expansion of 1/2 in im 6.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.425 * [taylor]: Taking taylor expansion of im in im 6.429 * [taylor]: Taking taylor expansion of 0 in im 6.430 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 6.430 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 6.430 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 6.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.430 * [taylor]: Taking taylor expansion of 2.0 in im 6.431 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 6.431 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 6.431 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.431 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.431 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.431 * [taylor]: Taking taylor expansion of (* re re) in im 6.431 * [taylor]: Taking taylor expansion of re in im 6.431 * [taylor]: Taking taylor expansion of re in im 6.431 * [taylor]: Taking taylor expansion of (* im im) in im 6.431 * [taylor]: Taking taylor expansion of im in im 6.431 * [taylor]: Taking taylor expansion of im in im 6.433 * [taylor]: Taking taylor expansion of re in im 6.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 6.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.437 * [taylor]: Taking taylor expansion of 2.0 in re 6.437 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.437 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.437 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.437 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.437 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.437 * [taylor]: Taking taylor expansion of (* re re) in re 6.437 * [taylor]: Taking taylor expansion of re in re 6.437 * [taylor]: Taking taylor expansion of re in re 6.437 * [taylor]: Taking taylor expansion of (* im im) in re 6.437 * [taylor]: Taking taylor expansion of im in re 6.438 * [taylor]: Taking taylor expansion of im in re 6.439 * [taylor]: Taking taylor expansion of re in re 6.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 6.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.439 * [taylor]: Taking taylor expansion of 2.0 in re 6.440 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 6.440 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 6.440 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.440 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.440 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.440 * [taylor]: Taking taylor expansion of (* re re) in re 6.440 * [taylor]: Taking taylor expansion of re in re 6.440 * [taylor]: Taking taylor expansion of re in re 6.440 * [taylor]: Taking taylor expansion of (* im im) in re 6.440 * [taylor]: Taking taylor expansion of im in re 6.440 * [taylor]: Taking taylor expansion of im in re 6.441 * [taylor]: Taking taylor expansion of re in re 6.443 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 6.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.443 * [taylor]: Taking taylor expansion of 2.0 in im 6.443 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.443 * [taylor]: Taking taylor expansion of im in im 6.447 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 6.447 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 6.447 * [taylor]: Taking taylor expansion of 1/2 in im 6.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 6.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.447 * [taylor]: Taking taylor expansion of 2.0 in im 6.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.448 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.448 * [taylor]: Taking taylor expansion of im in im 6.468 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 6.468 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 6.468 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 6.468 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.468 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.468 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.468 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.468 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.468 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.469 * [taylor]: Taking taylor expansion of re in im 6.469 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.469 * [taylor]: Taking taylor expansion of re in im 6.469 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.469 * [taylor]: Taking taylor expansion of im in im 6.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.469 * [taylor]: Taking taylor expansion of im in im 6.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.472 * [taylor]: Taking taylor expansion of re in im 6.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.473 * [taylor]: Taking taylor expansion of 2.0 in im 6.474 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.474 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.474 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.474 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.474 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.474 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.474 * [taylor]: Taking taylor expansion of re in re 6.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.474 * [taylor]: Taking taylor expansion of re in re 6.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.474 * [taylor]: Taking taylor expansion of im in re 6.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.474 * [taylor]: Taking taylor expansion of im in re 6.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.477 * [taylor]: Taking taylor expansion of re in re 6.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.482 * [taylor]: Taking taylor expansion of 2.0 in re 6.483 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.483 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.483 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.483 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.483 * [taylor]: Taking taylor expansion of re in re 6.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.483 * [taylor]: Taking taylor expansion of re in re 6.484 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.484 * [taylor]: Taking taylor expansion of im in re 6.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.484 * [taylor]: Taking taylor expansion of im in re 6.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.486 * [taylor]: Taking taylor expansion of re in re 6.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.497 * [taylor]: Taking taylor expansion of 2.0 in re 6.498 * [taylor]: Taking taylor expansion of 0 in im 6.499 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.499 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.499 * [taylor]: Taking taylor expansion of +nan.0 in im 6.499 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.499 * [taylor]: Taking taylor expansion of 2.0 in im 6.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.500 * [taylor]: Taking taylor expansion of im in im 6.508 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 6.508 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.508 * [taylor]: Taking taylor expansion of +nan.0 in im 6.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.508 * [taylor]: Taking taylor expansion of 2.0 in im 6.509 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.509 * [taylor]: Taking taylor expansion of im in im 6.524 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 6.524 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 6.525 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.525 * [taylor]: Taking taylor expansion of +nan.0 in im 6.525 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.525 * [taylor]: Taking taylor expansion of 2.0 in im 6.525 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.525 * [taylor]: Taking taylor expansion of im in im 6.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 6.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 6.526 * [taylor]: Taking taylor expansion of +nan.0 in im 6.526 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 6.526 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.526 * [taylor]: Taking taylor expansion of 2.0 in im 6.527 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.527 * [taylor]: Taking taylor expansion of im in im 6.549 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 6.549 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 6.549 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.549 * [taylor]: Taking taylor expansion of 2.0 in im 6.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 6.550 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 6.550 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.550 * [taylor]: Taking taylor expansion of re in im 6.550 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.550 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.550 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.550 * [taylor]: Taking taylor expansion of -1 in im 6.550 * [taylor]: Taking taylor expansion of re in im 6.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.550 * [taylor]: Taking taylor expansion of -1 in im 6.550 * [taylor]: Taking taylor expansion of re in im 6.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.550 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.550 * [taylor]: Taking taylor expansion of -1 in im 6.550 * [taylor]: Taking taylor expansion of im in im 6.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.551 * [taylor]: Taking taylor expansion of -1 in im 6.551 * [taylor]: Taking taylor expansion of im in im 6.555 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.555 * [taylor]: Taking taylor expansion of 2.0 in re 6.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.555 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.555 * [taylor]: Taking taylor expansion of re in re 6.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.556 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.556 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.556 * [taylor]: Taking taylor expansion of -1 in re 6.556 * [taylor]: Taking taylor expansion of re in re 6.556 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.556 * [taylor]: Taking taylor expansion of -1 in re 6.556 * [taylor]: Taking taylor expansion of re in re 6.556 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.556 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.557 * [taylor]: Taking taylor expansion of -1 in re 6.557 * [taylor]: Taking taylor expansion of im in re 6.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.557 * [taylor]: Taking taylor expansion of -1 in re 6.557 * [taylor]: Taking taylor expansion of im in re 6.561 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 6.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.561 * [taylor]: Taking taylor expansion of 2.0 in re 6.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 6.561 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 6.561 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.561 * [taylor]: Taking taylor expansion of re in re 6.562 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.562 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.562 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.562 * [taylor]: Taking taylor expansion of -1 in re 6.562 * [taylor]: Taking taylor expansion of re in re 6.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.562 * [taylor]: Taking taylor expansion of -1 in re 6.562 * [taylor]: Taking taylor expansion of re in re 6.562 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.562 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.562 * [taylor]: Taking taylor expansion of -1 in re 6.562 * [taylor]: Taking taylor expansion of im in re 6.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.563 * [taylor]: Taking taylor expansion of -1 in re 6.563 * [taylor]: Taking taylor expansion of im in re 6.567 * [taylor]: Taking taylor expansion of 0 in im 6.568 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.568 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.568 * [taylor]: Taking taylor expansion of +nan.0 in im 6.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.568 * [taylor]: Taking taylor expansion of 2.0 in im 6.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.579 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.579 * [taylor]: Taking taylor expansion of +nan.0 in im 6.579 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.579 * [taylor]: Taking taylor expansion of 2.0 in im 6.588 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.588 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.588 * [taylor]: Taking taylor expansion of +nan.0 in im 6.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.588 * [taylor]: Taking taylor expansion of 2.0 in im 6.589 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.589 * [taylor]: Taking taylor expansion of im in im 6.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.589 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.589 * [taylor]: Taking taylor expansion of +nan.0 in im 6.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.589 * [taylor]: Taking taylor expansion of 2.0 in im 6.601 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.601 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.601 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.601 * [taylor]: Taking taylor expansion of +nan.0 in im 6.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.601 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.601 * [taylor]: Taking taylor expansion of 2.0 in im 6.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.602 * [taylor]: Taking taylor expansion of im in im 6.602 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.602 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.602 * [taylor]: Taking taylor expansion of +nan.0 in im 6.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.602 * [taylor]: Taking taylor expansion of 2.0 in im 6.615 * * * [progress]: simplifying candidates 6.617 * [simplify]: Simplifying using # : (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- re) (/ (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (log1p (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (log (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (exp (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (* (cbrt (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (cbrt (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0)))) (cbrt (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (* (* (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0)) (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (sqrt (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re))) (sqrt 2.0) (sqrt (* (+ (* (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* re re) (+ (* re re) (* re re)))) (* (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (pow re 3) (pow re 3)))) 2.0)) (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (+ (* re re) (+ (* re re) (* re re))))) (sqrt (* (+ (* (- (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ re re)) (* (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* re re) (* re re)))) 2.0)) (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (+ re re))) (sqrt (* (+ (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ (* re re) (+ (* re re) (* re re)))) (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (pow re 3) (pow re 3)))) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* re re) (+ (* re re) (* re re))))) (sqrt (* (+ (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (+ re re)) (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* re re) (* re re)))) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ re re))) (sqrt (* (+ (pow (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 3) (pow (- re re) 3)) 2.0)) (sqrt (+ (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (- (* (- re re) (- re re)) (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re))))) (sqrt (* (- (* (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (- re re) (- re re))) 2.0)) (sqrt (- (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (sqrt (sqrt (* (+ (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (- re re)) 2.0))) (- im re) 0 (* -2 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 6.622 * * [simplify]: iteration 0 : 190 enodes (cost 1770 ) 6.705 * * [simplify]: iteration 1 : 432 enodes (cost 910 ) 6.928 * * [simplify]: iteration 2 : 1306 enodes (cost 796 ) 7.990 * * [simplify]: iteration done : 5000 enodes (cost 734 ) 7.990 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma re re (* (+ (hypot re im) re) (hypot re im))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (cbrt (sqrt (hypot re im))) (pow (cbrt (sqrt (hypot re im))) (+ 3 1))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (sqrt (* (- (hypot re im) re) 2.0))) (log1p (sqrt (* (- (hypot re im) re) 2.0))) (log (sqrt (* (- (hypot re im) re) 2.0))) (exp (sqrt (* (- (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (cbrt (sqrt (* (- (hypot re im) re) 2.0)))) (cbrt (sqrt (* (- (hypot re im) re) 2.0))) (pow (sqrt (* (- (hypot re im) re) 2.0)) 3) (sqrt (- (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (* (* 3 (* re re)) (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (* 3 (* (fma re re (* (+ (hypot re im) re) (hypot re im))) (pow re 2)))) (sqrt (* (* (- (pow (hypot re im) 3) (pow re 3)) (+ re re)) 2.0)) (sqrt (* (fma re re (* (+ (hypot re im) re) (hypot re im))) (+ re re))) (sqrt (* 2.0 (* (+ (hypot re im) re) (* (- (hypot re im) re) (* 3 (* re re)))))) (sqrt (* (+ (hypot re im) re) (* 3 (* re re)))) (sqrt (* (* (- (* (hypot re im) (hypot re im)) (* re re)) (+ re re)) 2.0)) (sqrt (* (+ re re) (+ (hypot re im) re))) (sqrt (* (pow (- (hypot re im) re) 3) 2.0)) (sqrt (* (- (hypot re im) re) (- (hypot re im) re))) (sqrt (* 2.0 (* (- (hypot re im) re) (- (hypot re im) re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (sqrt (sqrt (* (- (hypot re im) re) 2.0))) (- im re) 0 (* -2 re) im re (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- im (* im re)) (- (pow im 2)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 7.991 * * * [progress]: adding candidates to table 8.197 * [progress]: [Phase 3 of 3] Extracting. 8.198 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 8.201 * * * [regime-changes]: Trying 2 branch expressions: (im re) 8.202 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 8.247 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 8.289 * * * [regime]: Found split indices: #