11.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.070 * [taylor]: Taking taylor expansion of re in im 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.073 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of 0 in im 0.077 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of 1 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of 1 in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.102 * [taylor]: Taking taylor expansion of 1/2 in im 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.106 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.109 * [taylor]: Taking taylor expansion of 1/2 in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of 2 in im 0.122 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.139 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.139 * [taylor]: Taking taylor expansion of im in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.139 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.142 * [taylor]: Taking taylor expansion of im in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.149 * [taylor]: Taking taylor expansion of 1/2 in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of 0 in im 0.155 * * * [progress]: simplifying candidates 0.155 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (+ re im) (* 2 re) 0 0.159 * * [simplify]: iteration 0 : 155 enodes (cost 205 ) 0.162 * * [simplify]: iteration 1 : 421 enodes (cost 183 ) 0.169 * * [simplify]: iteration 2 : 1067 enodes (cost 180 ) 0.188 * * [simplify]: iteration 3 : 3190 enodes (cost 179 ) 0.239 * * [simplify]: iteration 4 : 5001 enodes (cost 178 ) 0.240 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (fma -1 re (hypot re im)) (+ re (hypot re im)) im re (* -1 re) (+ re im) (* 2 re) 0 0.240 * * * [progress]: adding candidates to table 0.363 * * [progress]: iteration 2 / 4 0.363 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.388 * * * [progress]: generating rewritten candidates 0.388 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.392 * * * [progress]: generating series expansions 0.392 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.393 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.393 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.393 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.393 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.393 * [taylor]: Taking taylor expansion of (* re re) in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [taylor]: Taking taylor expansion of re in im 0.393 * [taylor]: Taking taylor expansion of (* im im) in im 0.393 * [taylor]: Taking taylor expansion of im in im 0.393 * [taylor]: Taking taylor expansion of im in im 0.394 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.394 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.394 * [taylor]: Taking taylor expansion of (* re re) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [taylor]: Taking taylor expansion of (* im im) in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [taylor]: Taking taylor expansion of im in re 0.395 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.396 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.396 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.396 * [taylor]: Taking taylor expansion of (* re re) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (* im im) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [taylor]: Taking taylor expansion of 1 in im 0.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.399 * [taylor]: Taking taylor expansion of 1/2 in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.403 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.403 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.403 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.411 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.411 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.414 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.414 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.414 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.415 * [taylor]: Taking taylor expansion of re in re 0.415 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.415 * [taylor]: Taking taylor expansion of im in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.415 * [taylor]: Taking taylor expansion of im in re 0.418 * [taylor]: Taking taylor expansion of 2 in im 0.418 * [taylor]: Taking taylor expansion of 0 in im 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.421 * [taylor]: Taking taylor expansion of 1/2 in im 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of 0 in im 0.428 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.428 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.428 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.428 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.428 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.428 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [taylor]: Taking taylor expansion of re in im 0.428 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.428 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.431 * [taylor]: Taking taylor expansion of re in im 0.431 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.431 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.431 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.431 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.431 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.431 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.431 * [taylor]: Taking taylor expansion of -1 in re 0.432 * [taylor]: Taking taylor expansion of re in re 0.432 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.432 * [taylor]: Taking taylor expansion of -1 in re 0.432 * [taylor]: Taking taylor expansion of re in re 0.432 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.432 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.432 * [taylor]: Taking taylor expansion of -1 in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.432 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.432 * [taylor]: Taking taylor expansion of -1 in re 0.432 * [taylor]: Taking taylor expansion of im in re 0.435 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.435 * [taylor]: Taking taylor expansion of re in re 0.435 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.435 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.435 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.435 * [taylor]: Taking taylor expansion of -1 in re 0.435 * [taylor]: Taking taylor expansion of re in re 0.436 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.436 * [taylor]: Taking taylor expansion of -1 in re 0.436 * [taylor]: Taking taylor expansion of re in re 0.436 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.436 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.436 * [taylor]: Taking taylor expansion of -1 in re 0.436 * [taylor]: Taking taylor expansion of im in re 0.436 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.436 * [taylor]: Taking taylor expansion of -1 in re 0.436 * [taylor]: Taking taylor expansion of im in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.439 * [taylor]: Taking taylor expansion of re in re 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.440 * [taylor]: Taking taylor expansion of 0 in im 0.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.443 * [taylor]: Taking taylor expansion of 1/2 in im 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.443 * [taylor]: Taking taylor expansion of im in im 0.448 * [taylor]: Taking taylor expansion of 0 in im 0.450 * * * [progress]: simplifying candidates 0.450 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (+ re im) (* 2 re) 0 0.453 * * [simplify]: iteration 0 : 95 enodes (cost 97 ) 0.455 * * [simplify]: iteration 1 : 268 enodes (cost 85 ) 0.461 * * [simplify]: iteration 2 : 754 enodes (cost 82 ) 0.476 * * [simplify]: iteration 3 : 3049 enodes (cost 80 ) 0.540 * * [simplify]: iteration 4 : 5001 enodes (cost 79 ) 0.540 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) (* re (sqrt 1))) (* re re)) (fma (hypot re im) (hypot re im) (- (* re re))) (- (* (sqrt 1) (hypot re im)) re) (+ re im) (* 2 re) 0 0.541 * * * [progress]: adding candidates to table 0.592 * * [progress]: iteration 3 / 4 0.592 * * * [progress]: picking best candidate 0.611 * * * * [pick]: Picked # 0.611 * * * [progress]: localizing error 0.624 * * * [progress]: generating rewritten candidates 0.624 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1 1) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.633 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ re (hypot re im)))) in (re im) around 0 0.633 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ re (hypot re im)))) in im 0.633 * [taylor]: Rewrote expression to (- (exp (log1p (+ re (hypot re im)))) 1) 0.633 * [taylor]: Taking taylor expansion of (exp (log1p (+ re (hypot re im)))) in im 0.633 * [taylor]: Taking taylor expansion of (log1p (+ re (hypot re im))) in im 0.633 * [taylor]: Rewrote expression to (log (+ 1 (+ re (hypot re im)))) 0.633 * [taylor]: Taking taylor expansion of (+ 1 (+ re (hypot re im))) in im 0.633 * [taylor]: Taking taylor expansion of 1 in im 0.633 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.633 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.633 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.633 * [taylor]: Taking taylor expansion of (* re re) in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of re in im 0.633 * [taylor]: Taking taylor expansion of (* im im) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of 1 in im 0.635 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ re (hypot re im)))) in re 0.635 * [taylor]: Rewrote expression to (- (exp (log1p (+ re (hypot re im)))) 1) 0.635 * [taylor]: Taking taylor expansion of (exp (log1p (+ re (hypot re im)))) in re 0.635 * [taylor]: Taking taylor expansion of (log1p (+ re (hypot re im))) in re 0.635 * [taylor]: Rewrote expression to (log (+ 1 (+ re (hypot re im)))) 0.635 * [taylor]: Taking taylor expansion of (+ 1 (+ re (hypot re im))) in re 0.635 * [taylor]: Taking taylor expansion of 1 in re 0.635 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.635 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.635 * [taylor]: Taking taylor expansion of (* re re) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (* im im) in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of 1 in re 0.636 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ re (hypot re im)))) in re 0.636 * [taylor]: Rewrote expression to (- (exp (log1p (+ re (hypot re im)))) 1) 0.636 * [taylor]: Taking taylor expansion of (exp (log1p (+ re (hypot re im)))) in re 0.636 * [taylor]: Taking taylor expansion of (log1p (+ re (hypot re im))) in re 0.636 * [taylor]: Rewrote expression to (log (+ 1 (+ re (hypot re im)))) 0.636 * [taylor]: Taking taylor expansion of (+ 1 (+ re (hypot re im))) in re 0.636 * [taylor]: Taking taylor expansion of 1 in re 0.636 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.637 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.637 * [taylor]: Taking taylor expansion of (* re re) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (* im im) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of 1 in re 0.638 * [taylor]: Taking taylor expansion of im in im 0.640 * [taylor]: Taking taylor expansion of 1 in im 0.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.643 * [taylor]: Taking taylor expansion of 1/2 in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.650 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.650 * [taylor]: Rewrote expression to (- (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 1) 0.650 * [taylor]: Taking taylor expansion of (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.650 * [taylor]: Taking taylor expansion of (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.650 * [taylor]: Rewrote expression to (log (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 0.650 * [taylor]: Taking taylor expansion of (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.650 * [taylor]: Taking taylor expansion of 1 in im 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.650 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.655 * [taylor]: Taking taylor expansion of 1 in im 0.655 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.655 * [taylor]: Rewrote expression to (- (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 1) 0.655 * [taylor]: Taking taylor expansion of (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.655 * [taylor]: Taking taylor expansion of (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.655 * [taylor]: Rewrote expression to (log (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 0.655 * [taylor]: Taking taylor expansion of (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.655 * [taylor]: Taking taylor expansion of 1 in re 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.655 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.656 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.656 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.656 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of 1 in re 0.661 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.661 * [taylor]: Rewrote expression to (- (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 1) 0.661 * [taylor]: Taking taylor expansion of (exp (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.661 * [taylor]: Taking taylor expansion of (log1p (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.661 * [taylor]: Rewrote expression to (log (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 0.661 * [taylor]: Taking taylor expansion of (+ 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.661 * [taylor]: Taking taylor expansion of 1 in re 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.662 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.662 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of 1 in re 0.667 * [taylor]: Taking taylor expansion of (- (exp (- (log 2) (log re))) 1) in im 0.667 * [taylor]: Taking taylor expansion of (exp (- (log 2) (log re))) in im 0.667 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.667 * [taylor]: Taking taylor expansion of (log 2) in im 0.667 * [taylor]: Taking taylor expansion of 2 in im 0.667 * [taylor]: Taking taylor expansion of (log re) in im 0.667 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of 1 in im 0.672 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- (log 2) (log re)))) in im 0.672 * [taylor]: Taking taylor expansion of 1/2 in im 0.672 * [taylor]: Taking taylor expansion of (exp (- (log 2) (log re))) in im 0.672 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.672 * [taylor]: Taking taylor expansion of (log 2) in im 0.672 * [taylor]: Taking taylor expansion of 2 in im 0.672 * [taylor]: Taking taylor expansion of (log re) in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (- (log 2) (log re))) (pow im 2))) in im 0.683 * [taylor]: Taking taylor expansion of 1/4 in im 0.683 * [taylor]: Taking taylor expansion of (/ (exp (- (log 2) (log re))) (pow im 2)) in im 0.683 * [taylor]: Taking taylor expansion of (exp (- (log 2) (log re))) in im 0.683 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.683 * [taylor]: Taking taylor expansion of (log 2) in im 0.683 * [taylor]: Taking taylor expansion of 2 in im 0.683 * [taylor]: Taking taylor expansion of (log re) in im 0.683 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of 0 in im 0.723 * [approximate]: Taking taylor expansion of (expm1 (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.723 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.723 * [taylor]: Rewrote expression to (- (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 1) 0.723 * [taylor]: Taking taylor expansion of (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.723 * [taylor]: Taking taylor expansion of (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.724 * [taylor]: Rewrote expression to (log (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.724 * [taylor]: Taking taylor expansion of (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.724 * [taylor]: Taking taylor expansion of 1 in im 0.724 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of re in im 0.724 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.724 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.724 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.727 * [taylor]: Taking taylor expansion of re in im 0.728 * [taylor]: Taking taylor expansion of 1 in im 0.728 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.728 * [taylor]: Rewrote expression to (- (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 1) 0.728 * [taylor]: Taking taylor expansion of (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.728 * [taylor]: Taking taylor expansion of (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.729 * [taylor]: Rewrote expression to (log (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.729 * [taylor]: Taking taylor expansion of (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.729 * [taylor]: Taking taylor expansion of 1 in re 0.729 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.729 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.729 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.729 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of re in re 0.729 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.729 * [taylor]: Taking taylor expansion of im in re 0.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.729 * [taylor]: Taking taylor expansion of -1 in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.738 * [taylor]: Taking taylor expansion of 1 in re 0.738 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.738 * [taylor]: Rewrote expression to (- (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 1) 0.738 * [taylor]: Taking taylor expansion of (exp (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.738 * [taylor]: Taking taylor expansion of (log1p (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.738 * [taylor]: Rewrote expression to (log (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.738 * [taylor]: Taking taylor expansion of (+ 1 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.738 * [taylor]: Taking taylor expansion of 1 in re 0.738 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.738 * [taylor]: Taking taylor expansion of -1 in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.739 * [taylor]: Taking taylor expansion of -1 in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.748 * [taylor]: Taking taylor expansion of 1 in re 0.748 * [taylor]: Taking taylor expansion of 0 in im 0.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.749 * [taylor]: Taking taylor expansion of 1/2 in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.749 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.757 * [taylor]: Taking taylor expansion of 0 in im 0.759 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1 1) 0.759 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.759 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.759 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.759 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.759 * [taylor]: Taking taylor expansion of (* re re) in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of re in im 0.759 * [taylor]: Taking taylor expansion of (* im im) in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.759 * [taylor]: Taking taylor expansion of im in im 0.760 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.760 * [taylor]: Taking taylor expansion of (* re re) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [taylor]: Taking taylor expansion of (* im im) in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.761 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.762 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.762 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.762 * [taylor]: Taking taylor expansion of (* re re) in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of re in re 0.762 * [taylor]: Taking taylor expansion of (* im im) in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of im in re 0.763 * [taylor]: Taking taylor expansion of im in im 0.763 * [taylor]: Taking taylor expansion of 1 in im 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.765 * [taylor]: Taking taylor expansion of 1/2 in im 0.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.765 * [taylor]: Taking taylor expansion of im in im 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.769 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.769 * [taylor]: Taking taylor expansion of re in im 0.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.769 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.769 * [taylor]: Taking taylor expansion of re in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.769 * [taylor]: Taking taylor expansion of re in im 0.769 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.769 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.769 * [taylor]: Taking taylor expansion of im in im 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.772 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.773 * [taylor]: Taking taylor expansion of re in re 0.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.773 * [taylor]: Taking taylor expansion of re in re 0.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.773 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.773 * [taylor]: Taking taylor expansion of im in re 0.773 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.773 * [taylor]: Taking taylor expansion of im in re 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.776 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.776 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of 2 in im 0.780 * [taylor]: Taking taylor expansion of 0 in im 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.783 * [taylor]: Taking taylor expansion of 1/2 in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.788 * [taylor]: Taking taylor expansion of 0 in im 0.790 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.790 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.790 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.790 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.790 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.790 * [taylor]: Taking taylor expansion of -1 in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.790 * [taylor]: Taking taylor expansion of -1 in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.790 * [taylor]: Taking taylor expansion of -1 in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.790 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.790 * [taylor]: Taking taylor expansion of -1 in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.793 * [taylor]: Taking taylor expansion of re in im 0.793 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.793 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.793 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.793 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.793 * [taylor]: Taking taylor expansion of -1 in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.794 * [taylor]: Taking taylor expansion of -1 in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.802 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of re in re 0.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.803 * [taylor]: Taking taylor expansion of -1 in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.811 * [taylor]: Taking taylor expansion of 1/2 in im 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.811 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.811 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of 0 in im 0.817 * * * [progress]: simplifying candidates 0.818 * [simplify]: Simplifying using # : (exp (log1p (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (log (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (exp (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (expm1 (log1p (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (+ re im) (- (+ (* 1/2 (/ (exp (- (log 2) (log (/ 1 re)))) re)) (exp (- (log 2) (log (/ 1 re))))) 1) 0 (+ re im) (* 2 re) 0 0.821 * * [simplify]: iteration 0 : 135 enodes (cost 177 ) 0.824 * * [simplify]: iteration 1 : 357 enodes (cost 154 ) 0.830 * * [simplify]: iteration 2 : 964 enodes (cost 146 ) 0.853 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 0.854 * [simplify]: Simplified to: (exp (log1p (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (* (sqrt 1) (hypot re im)) re) (+ re im) (fma 2 re (expm1 0)) 0 (+ re im) (* 2 re) 0 0.854 * * * [progress]: adding candidates to table 0.945 * * [progress]: iteration 4 / 4 0.945 * * * [progress]: picking best candidate 0.966 * * * * [pick]: Picked # 0.966 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.976 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2) 0.980 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.985 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2) 0.986 * * * [progress]: generating series expansions 0.986 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2) 0.986 * [approximate]: Taking taylor expansion of (/ (pow im 2) (fma -1 re (hypot re im))) in (im re) around 0 0.986 * [taylor]: Taking taylor expansion of (/ (pow im 2) (fma -1 re (hypot re im))) in re 0.986 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in re 0.986 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 0.987 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.987 * [taylor]: Taking taylor expansion of -1 in re 0.987 * [taylor]: Taking taylor expansion of re in re 0.987 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.987 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.987 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.987 * [taylor]: Taking taylor expansion of (* re re) in re 0.987 * [taylor]: Taking taylor expansion of re in re 0.987 * [taylor]: Taking taylor expansion of re in re 0.987 * [taylor]: Taking taylor expansion of (* im im) in re 0.987 * [taylor]: Taking taylor expansion of im in re 0.987 * [taylor]: Taking taylor expansion of im in re 0.988 * [taylor]: Taking taylor expansion of (/ (pow im 2) (fma -1 re (hypot re im))) in im 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in im 0.989 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 0.989 * [taylor]: Taking taylor expansion of (* -1 re) in im 0.989 * [taylor]: Taking taylor expansion of -1 in im 0.989 * [taylor]: Taking taylor expansion of re in im 0.989 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.989 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.989 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.989 * [taylor]: Taking taylor expansion of (* re re) in im 0.989 * [taylor]: Taking taylor expansion of re in im 0.989 * [taylor]: Taking taylor expansion of re in im 0.989 * [taylor]: Taking taylor expansion of (* im im) in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.992 * [taylor]: Taking taylor expansion of (/ (pow im 2) (fma -1 re (hypot re im))) in im 0.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.993 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in im 0.993 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 0.993 * [taylor]: Taking taylor expansion of (* -1 re) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.993 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.993 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.993 * [taylor]: Taking taylor expansion of (* re re) in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [taylor]: Taking taylor expansion of (* im im) in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (* 2 re) in re 0.997 * [taylor]: Taking taylor expansion of 2 in re 0.997 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of 0 in re 1.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.004 * [taylor]: Taking taylor expansion of 1/2 in re 1.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.010 * [taylor]: Taking taylor expansion of 0 in re 1.011 * [approximate]: Taking taylor expansion of (/ 1 (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2))) in (im re) around 0 1.011 * [taylor]: Taking taylor expansion of (/ 1 (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2))) in re 1.011 * [taylor]: Taking taylor expansion of (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2)) in re 1.011 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.011 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in re 1.011 * [taylor]: Taking taylor expansion of -1 in re 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.011 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.012 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.012 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.015 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.015 * [taylor]: Taking taylor expansion of im in re 1.022 * [taylor]: Taking taylor expansion of (/ 1 (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2))) in im 1.022 * [taylor]: Taking taylor expansion of (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2)) in im 1.022 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.022 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.022 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in im 1.022 * [taylor]: Taking taylor expansion of -1 in im 1.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.022 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.022 * [taylor]: Taking taylor expansion of im in im 1.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.023 * [taylor]: Taking taylor expansion of im in im 1.025 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (/ 1 (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2))) in im 1.026 * [taylor]: Taking taylor expansion of (* (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (pow im 2)) in im 1.026 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.026 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.026 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in im 1.026 * [taylor]: Taking taylor expansion of -1 in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.027 * [taylor]: Taking taylor expansion of re in im 1.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.027 * [taylor]: Taking taylor expansion of re in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.027 * [taylor]: Taking taylor expansion of re in im 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.030 * [taylor]: Taking taylor expansion of im in im 1.031 * [taylor]: Taking taylor expansion of 1 in re 1.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.032 * [taylor]: Taking taylor expansion of re in re 1.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.036 * [taylor]: Taking taylor expansion of 1/2 in re 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.047 * [taylor]: Taking taylor expansion of 0 in re 1.050 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in (im re) around 0 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.050 * [taylor]: Taking taylor expansion of (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.050 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.050 * [taylor]: Taking taylor expansion of im in re 1.050 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.050 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.050 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in re 1.050 * [taylor]: Taking taylor expansion of -1 in re 1.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.050 * [taylor]: Taking taylor expansion of -1 in re 1.050 * [taylor]: Taking taylor expansion of re in re 1.050 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.050 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.050 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.050 * [taylor]: Taking taylor expansion of -1 in re 1.050 * [taylor]: Taking taylor expansion of re in re 1.051 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.051 * [taylor]: Taking taylor expansion of -1 in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.051 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.051 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.051 * [taylor]: Taking taylor expansion of -1 in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.051 * [taylor]: Taking taylor expansion of -1 in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.055 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.055 * [taylor]: Taking taylor expansion of (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.055 * [taylor]: Taking taylor expansion of im in im 1.055 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.055 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.055 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of re in im 1.055 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.055 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.055 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of re in im 1.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of re in im 1.055 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of im in im 1.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.055 * [taylor]: Taking taylor expansion of -1 in im 1.055 * [taylor]: Taking taylor expansion of im in im 1.059 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.059 * [taylor]: Taking taylor expansion of (* (pow im 2) (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.059 * [taylor]: Taking taylor expansion of im in im 1.059 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.059 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.059 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in im 1.059 * [taylor]: Taking taylor expansion of -1 in im 1.059 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.059 * [taylor]: Taking taylor expansion of -1 in im 1.059 * [taylor]: Taking taylor expansion of re in im 1.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.060 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.060 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.060 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.060 * [taylor]: Taking taylor expansion of -1 in im 1.060 * [taylor]: Taking taylor expansion of re in im 1.060 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.060 * [taylor]: Taking taylor expansion of -1 in im 1.060 * [taylor]: Taking taylor expansion of re in im 1.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.060 * [taylor]: Taking taylor expansion of -1 in im 1.060 * [taylor]: Taking taylor expansion of im in im 1.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.060 * [taylor]: Taking taylor expansion of -1 in im 1.060 * [taylor]: Taking taylor expansion of im in im 1.064 * [taylor]: Taking taylor expansion of 1 in re 1.065 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.065 * [taylor]: Taking taylor expansion of re in re 1.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.070 * [taylor]: Taking taylor expansion of 1/2 in re 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.070 * [taylor]: Taking taylor expansion of re in re 1.074 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.075 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (fma -1 re (hypot re im))))) in (im re) around 0 1.075 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (fma -1 re (hypot re im))))) in re 1.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.075 * [taylor]: Taking taylor expansion of 2.0 in re 1.075 * [taylor]: Taking taylor expansion of im in re 1.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 re (hypot re im)))) in re 1.075 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 re (hypot re im))) in re 1.075 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in re 1.076 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.076 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.076 * [taylor]: Taking taylor expansion of -1 in re 1.076 * [taylor]: Taking taylor expansion of re in re 1.076 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.076 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.076 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.076 * [taylor]: Taking taylor expansion of (* re re) in re 1.076 * [taylor]: Taking taylor expansion of re in re 1.076 * [taylor]: Taking taylor expansion of re in re 1.076 * [taylor]: Taking taylor expansion of (* im im) in re 1.076 * [taylor]: Taking taylor expansion of im in re 1.076 * [taylor]: Taking taylor expansion of im in re 1.078 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (fma -1 re (hypot re im))))) in im 1.078 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.078 * [taylor]: Taking taylor expansion of 2.0 in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 re (hypot re im)))) in im 1.079 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 re (hypot re im))) in im 1.079 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in im 1.079 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.079 * [taylor]: Taking taylor expansion of (* -1 re) in im 1.079 * [taylor]: Taking taylor expansion of -1 in im 1.079 * [taylor]: Taking taylor expansion of re in im 1.079 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.079 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.079 * [taylor]: Taking taylor expansion of (* re re) in im 1.079 * [taylor]: Taking taylor expansion of re in im 1.079 * [taylor]: Taking taylor expansion of re in im 1.079 * [taylor]: Taking taylor expansion of (* im im) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.085 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (fma -1 re (hypot re im))))) in im 1.085 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.085 * [taylor]: Taking taylor expansion of 2.0 in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 re (hypot re im)))) in im 1.086 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 re (hypot re im))) in im 1.086 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in im 1.086 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.086 * [taylor]: Taking taylor expansion of (* -1 re) in im 1.086 * [taylor]: Taking taylor expansion of -1 in im 1.086 * [taylor]: Taking taylor expansion of re in im 1.086 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.086 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.086 * [taylor]: Taking taylor expansion of (* re re) in im 1.086 * [taylor]: Taking taylor expansion of re in im 1.086 * [taylor]: Taking taylor expansion of re in im 1.086 * [taylor]: Taking taylor expansion of (* im im) in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.093 * [taylor]: Taking taylor expansion of 0 in re 1.095 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.095 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.095 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.095 * [taylor]: Taking taylor expansion of 2.0 in re 1.095 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.095 * [taylor]: Taking taylor expansion of 2 in re 1.096 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.105 * [taylor]: Taking taylor expansion of 0 in re 1.117 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.117 * [taylor]: Taking taylor expansion of 1/4 in re 1.117 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.117 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.118 * [taylor]: Taking taylor expansion of 2.0 in re 1.118 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.118 * [taylor]: Taking taylor expansion of 2 in re 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.120 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.120 * [taylor]: Taking taylor expansion of re in re 1.157 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in (im re) around 0 1.157 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.157 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.157 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.157 * [taylor]: Taking taylor expansion of 2.0 in re 1.158 * [taylor]: Taking taylor expansion of im in re 1.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.158 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.158 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.159 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.159 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in re 1.159 * [taylor]: Taking taylor expansion of -1 in re 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.159 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.159 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.159 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.159 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.160 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.160 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.168 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.168 * [taylor]: Taking taylor expansion of 2.0 in im 1.168 * [taylor]: Taking taylor expansion of im in im 1.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.169 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.169 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.169 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in im 1.169 * [taylor]: Taking taylor expansion of -1 in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.169 * [taylor]: Taking taylor expansion of re in im 1.169 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.169 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.169 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.169 * [taylor]: Taking taylor expansion of re in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.169 * [taylor]: Taking taylor expansion of re in im 1.169 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.169 * [taylor]: Taking taylor expansion of im in im 1.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.174 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.174 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.174 * [taylor]: Taking taylor expansion of 2.0 in im 1.175 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.175 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.175 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.175 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in im 1.175 * [taylor]: Taking taylor expansion of -1 in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.175 * [taylor]: Taking taylor expansion of re in im 1.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.176 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.176 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.176 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.176 * [taylor]: Taking taylor expansion of re in im 1.176 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.176 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.176 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.180 * [taylor]: Taking taylor expansion of 0 in re 1.182 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.182 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.182 * [taylor]: Taking taylor expansion of +nan.0 in re 1.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.182 * [taylor]: Taking taylor expansion of 2.0 in re 1.186 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.186 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.186 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.186 * [taylor]: Taking taylor expansion of +nan.0 in re 1.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.186 * [taylor]: Taking taylor expansion of 2.0 in re 1.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.186 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.186 * [taylor]: Taking taylor expansion of +nan.0 in re 1.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.186 * [taylor]: Taking taylor expansion of 2.0 in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.201 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.201 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.201 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.201 * [taylor]: Taking taylor expansion of +nan.0 in re 1.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.201 * [taylor]: Taking taylor expansion of 2.0 in re 1.202 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.202 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.202 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.202 * [taylor]: Taking taylor expansion of +nan.0 in re 1.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.202 * [taylor]: Taking taylor expansion of 2.0 in re 1.202 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.202 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.209 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.210 * [taylor]: Taking taylor expansion of +nan.0 in re 1.210 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.210 * [taylor]: Taking taylor expansion of 2.0 in re 1.210 * [taylor]: Taking taylor expansion of re in re 1.223 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))))) in (im re) around 0 1.223 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 1.223 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.223 * [taylor]: Taking taylor expansion of 2.0 in re 1.224 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.224 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.224 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.224 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in re 1.224 * [taylor]: Taking taylor expansion of -1 in re 1.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.224 * [taylor]: Taking taylor expansion of -1 in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.225 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.225 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.225 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.225 * [taylor]: Taking taylor expansion of -1 in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.225 * [taylor]: Taking taylor expansion of -1 in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.225 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.226 * [taylor]: Taking taylor expansion of -1 in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.226 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.226 * [taylor]: Taking taylor expansion of -1 in re 1.226 * [taylor]: Taking taylor expansion of im in re 1.230 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.230 * [taylor]: Taking taylor expansion of 2.0 in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.231 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.231 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.231 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.231 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of re in im 1.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.232 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.232 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.232 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.232 * [taylor]: Taking taylor expansion of -1 in im 1.232 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.232 * [taylor]: Taking taylor expansion of -1 in im 1.232 * [taylor]: Taking taylor expansion of re in im 1.232 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.232 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.232 * [taylor]: Taking taylor expansion of -1 in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.232 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.232 * [taylor]: Taking taylor expansion of -1 in im 1.232 * [taylor]: Taking taylor expansion of im in im 1.236 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 1.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.236 * [taylor]: Taking taylor expansion of 2.0 in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.238 * [taylor]: Taking taylor expansion of (/ 1 (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.238 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.238 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.238 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.238 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.238 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.238 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.238 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.238 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.243 * [taylor]: Taking taylor expansion of 0 in re 1.245 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.245 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.245 * [taylor]: Taking taylor expansion of +nan.0 in re 1.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.245 * [taylor]: Taking taylor expansion of 2.0 in re 1.251 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.251 * [taylor]: Taking taylor expansion of +nan.0 in re 1.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.251 * [taylor]: Taking taylor expansion of 2.0 in re 1.252 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.252 * [taylor]: Taking taylor expansion of +nan.0 in re 1.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.252 * [taylor]: Taking taylor expansion of 2.0 in re 1.252 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.265 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.265 * [taylor]: Taking taylor expansion of +nan.0 in re 1.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.265 * [taylor]: Taking taylor expansion of 2.0 in re 1.266 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.266 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.266 * [taylor]: Taking taylor expansion of +nan.0 in re 1.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.266 * [taylor]: Taking taylor expansion of 2.0 in re 1.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.267 * [taylor]: Taking taylor expansion of +nan.0 in re 1.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.267 * [taylor]: Taking taylor expansion of 2.0 in re 1.268 * [taylor]: Taking taylor expansion of re in re 1.280 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2) 1.280 * [approximate]: Taking taylor expansion of (fma -1 re (hypot re im)) in (re im) around 0 1.280 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in im 1.280 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.280 * [taylor]: Taking taylor expansion of (* -1 re) in im 1.280 * [taylor]: Taking taylor expansion of -1 in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.280 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.280 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.280 * [taylor]: Taking taylor expansion of (* re re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (* im im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.281 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in re 1.281 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.281 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.281 * [taylor]: Taking taylor expansion of -1 in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.282 * [taylor]: Taking taylor expansion of (* re re) in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (* im im) in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of (fma -1 re (hypot re im)) in re 1.283 * [taylor]: Rewrote expression to (+ (* -1 re) (hypot re im)) 1.283 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.283 * [taylor]: Taking taylor expansion of -1 in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.283 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.283 * [taylor]: Taking taylor expansion of (* re re) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [taylor]: Taking taylor expansion of (* im im) in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of im in im 1.285 * [taylor]: Taking taylor expansion of -1 in im 1.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.287 * [taylor]: Taking taylor expansion of 1/2 in im 1.287 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [approximate]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.298 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.298 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.298 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in im 1.298 * [taylor]: Taking taylor expansion of -1 in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.298 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.301 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in re 1.301 * [taylor]: Taking taylor expansion of -1 in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.301 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.302 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.302 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (fma -1 (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.305 * [taylor]: Rewrote expression to (+ (* -1 (/ 1 re)) (hypot (/ 1 re) (/ 1 im))) 1.305 * [taylor]: Taking taylor expansion of (* -1 (/ 1 re)) in re 1.305 * [taylor]: Taking taylor expansion of -1 in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.305 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.305 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.309 * [taylor]: Taking taylor expansion of 0 in im 1.310 * [taylor]: Taking taylor expansion of 0 in im 1.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.313 * [taylor]: Taking taylor expansion of 1/2 in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.320 * [approximate]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.320 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.320 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.320 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in im 1.320 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of re in im 1.321 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.321 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.321 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.321 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of re in im 1.321 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of re in im 1.321 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.321 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.321 * [taylor]: Taking taylor expansion of -1 in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.324 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.324 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of re in re 1.324 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.325 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.325 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.325 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.325 * [taylor]: Taking taylor expansion of -1 in re 1.325 * [taylor]: Taking taylor expansion of re in re 1.325 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.325 * [taylor]: Taking taylor expansion of -1 in re 1.325 * [taylor]: Taking taylor expansion of re in re 1.325 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.325 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.325 * [taylor]: Taking taylor expansion of -1 in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.325 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.325 * [taylor]: Taking taylor expansion of -1 in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.328 * [taylor]: Taking taylor expansion of (fma -1 (/ -1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.328 * [taylor]: Rewrote expression to (+ (* -1 (/ -1 re)) (hypot (/ -1 re) (/ -1 im))) 1.328 * [taylor]: Taking taylor expansion of (* -1 (/ -1 re)) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.329 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of 2 in im 1.333 * [taylor]: Taking taylor expansion of 0 in im 1.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.337 * [taylor]: Taking taylor expansion of 1/2 in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.342 * [taylor]: Taking taylor expansion of 0 in im 1.344 * * * [progress]: simplifying candidates 1.345 * [simplify]: Simplifying using # : (expm1 (/ (* im im) (fma -1 re (hypot re im)))) (log1p (/ (* im im) (fma -1 re (hypot re im)))) (- (+ (log im) (log im)) (log (fma -1 re (hypot re im)))) (- (log (* im im)) (log (fma -1 re (hypot re im)))) (log (/ (* im im) (fma -1 re (hypot re im)))) (exp (/ (* im im) (fma -1 re (hypot re im)))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (fma -1 re (hypot re im)) (fma -1 re (hypot re im))) (fma -1 re (hypot re im)))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (fma -1 re (hypot re im)) (fma -1 re (hypot re im))) (fma -1 re (hypot re im)))) (* (cbrt (/ (* im im) (fma -1 re (hypot re im)))) (cbrt (/ (* im im) (fma -1 re (hypot re im))))) (cbrt (/ (* im im) (fma -1 re (hypot re im)))) (* (* (/ (* im im) (fma -1 re (hypot re im))) (/ (* im im) (fma -1 re (hypot re im)))) (/ (* im im) (fma -1 re (hypot re im)))) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (- (* im im)) (- (fma -1 re (hypot re im))) (/ im (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im))))) (/ im (cbrt (fma -1 re (hypot re im)))) (/ im (sqrt (fma -1 re (hypot re im)))) (/ im (sqrt (fma -1 re (hypot re im)))) (/ im 1) (/ im (fma -1 re (hypot re im))) (/ 1 (fma -1 re (hypot re im))) (/ (fma -1 re (hypot re im)) (* im im)) (/ (* im im) (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im))))) (/ (* im im) (sqrt (fma -1 re (hypot re im)))) (/ (* im im) 1) (/ (fma -1 re (hypot re im)) im) (expm1 (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (log1p (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (log (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (exp (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (* (* (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im))))) (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (sqrt 2.0) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (sqrt (* 2.0 (* im im))) (sqrt (fma -1 re (hypot re im))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (sqrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (expm1 (fma -1 re (hypot re im))) (log1p (fma -1 re (hypot re im))) (* -1 re) (log (fma -1 re (hypot re im))) (exp (fma -1 re (hypot re im))) (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im)))) (cbrt (fma -1 re (hypot re im))) (* (* (fma -1 re (hypot re im)) (fma -1 re (hypot re im))) (fma -1 re (hypot re im))) (sqrt (fma -1 re (hypot re im))) (sqrt (fma -1 re (hypot re im))) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 1.349 * * [simplify]: iteration 0 : 264 enodes (cost 332 ) 1.354 * * [simplify]: iteration 1 : 999 enodes (cost 284 ) 1.373 * * [simplify]: iteration 2 : 4612 enodes (cost 275 ) 1.477 * * [simplify]: iteration 3 : 5001 enodes (cost 275 ) 1.479 * [simplify]: Simplified to: (expm1 (/ (* im im) (fma -1 re (hypot re im)))) (log1p (/ (* im im) (fma -1 re (hypot re im)))) (log (/ (* im im) (fma -1 re (hypot re im)))) (log (/ (* im im) (fma -1 re (hypot re im)))) (log (/ (* im im) (fma -1 re (hypot re im)))) (exp (/ (* im im) (fma -1 re (hypot re im)))) (pow (/ (* im im) (fma -1 re (hypot re im))) 3) (pow (/ (* im im) (fma -1 re (hypot re im))) 3) (* (cbrt (/ (* im im) (fma -1 re (hypot re im)))) (cbrt (/ (* im im) (fma -1 re (hypot re im))))) (cbrt (/ (* im im) (fma -1 re (hypot re im)))) (pow (/ (* im im) (fma -1 re (hypot re im))) 3) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (- (* im im)) (- re (hypot re im)) (/ im (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im))))) (/ im (cbrt (fma -1 re (hypot re im)))) (/ im (sqrt (fma -1 re (hypot re im)))) (/ im (sqrt (fma -1 re (hypot re im)))) im (/ im (fma -1 re (hypot re im))) (/ 1 (fma -1 re (hypot re im))) (/ (fma -1 re (hypot re im)) (* im im)) (/ (* im im) (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im))))) (/ (* im im) (sqrt (fma -1 re (hypot re im)))) (pow im 2) (/ (fma -1 re (hypot re im)) im) (expm1 (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (log1p (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (log (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (exp (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (pow (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im))))) 3) (sqrt 2.0) (sqrt (/ (* im im) (fma -1 re (hypot re im)))) (sqrt (* 2.0 (* im im))) (sqrt (fma -1 re (hypot re im))) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (sqrt (sqrt (* 2.0 (/ (* im im) (fma -1 re (hypot re im)))))) (expm1 (fma -1 re (hypot re im))) (log1p (fma -1 re (hypot re im))) (* -1 re) (log (fma -1 re (hypot re im))) (exp (fma -1 re (hypot re im))) (* (cbrt (fma -1 re (hypot re im))) (cbrt (fma -1 re (hypot re im)))) (cbrt (fma -1 re (hypot re im))) (pow (fma -1 re (hypot re im)) 3) (sqrt (fma -1 re (hypot re im))) (sqrt (fma -1 re (hypot re im))) (* 2 re) (+ re im) 0 (- (* (* (* +nan.0 (sqrt 2.0)) (sqrt 2)) (- re (pow re 2))) (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2)))) (- (* (/ (* (sqrt 2.0) re) im) (- +nan.0 (/ +nan.0 im))) (* +nan.0 (sqrt 2.0))) (fma (- +nan.0) (/ (sqrt 2.0) (pow im 2)) (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0)))) (- im re) 0 (* -2 re) 1.479 * * * [progress]: adding candidates to table 1.640 * [progress]: [Phase 3 of 3] Extracting. 1.640 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.642 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 1.642 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 1.687 * * * * [regimes]: Trying to branch on (* im im) from (# #) 1.699 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 1.748 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 1.788 * * * [regime]: Found split indices: #