1.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.017 * * [simplify]: iteration done : 11 enodes (cost 3 ) 0.017 * [simplify]: Simplified to: (hypot re im) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.025 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.025 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.025 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.025 * [taylor]: Taking taylor expansion of (* re re) in im 0.025 * [taylor]: Taking taylor expansion of re in im 0.025 * [taylor]: Taking taylor expansion of re in im 0.025 * [taylor]: Taking taylor expansion of (* im im) in im 0.025 * [taylor]: Taking taylor expansion of im in im 0.025 * [taylor]: Taking taylor expansion of im in im 0.026 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.026 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.026 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.026 * [taylor]: Taking taylor expansion of (* re re) in re 0.026 * [taylor]: Taking taylor expansion of re in re 0.026 * [taylor]: Taking taylor expansion of re in re 0.026 * [taylor]: Taking taylor expansion of (* im im) in re 0.026 * [taylor]: Taking taylor expansion of im in re 0.026 * [taylor]: Taking taylor expansion of im in re 0.028 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.028 * [taylor]: Taking taylor expansion of (* re re) in re 0.028 * [taylor]: Taking taylor expansion of re in re 0.028 * [taylor]: Taking taylor expansion of re in re 0.028 * [taylor]: Taking taylor expansion of (* im im) in re 0.028 * [taylor]: Taking taylor expansion of im in re 0.028 * [taylor]: Taking taylor expansion of im in re 0.029 * [taylor]: Taking taylor expansion of im in im 0.029 * [taylor]: Taking taylor expansion of 0 in im 0.031 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.031 * [taylor]: Taking taylor expansion of 1/2 in im 0.031 * [taylor]: Taking taylor expansion of im in im 0.033 * [taylor]: Taking taylor expansion of 0 in im 0.034 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.034 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.034 * [taylor]: Taking taylor expansion of re in im 0.034 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.034 * [taylor]: Taking taylor expansion of re in im 0.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.034 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.034 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.034 * [taylor]: Taking taylor expansion of im in im 0.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.037 * [taylor]: Taking taylor expansion of re in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.038 * [taylor]: Taking taylor expansion of re in re 0.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.046 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.050 * [taylor]: Taking taylor expansion of 1 in im 0.050 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.052 * [taylor]: Taking taylor expansion of 1/2 in im 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.057 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.058 * [taylor]: Taking taylor expansion of -1 in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.058 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.058 * [taylor]: Taking taylor expansion of -1 in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.058 * [taylor]: Taking taylor expansion of -1 in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.062 * [taylor]: Taking taylor expansion of -1 in re 0.062 * [taylor]: Taking taylor expansion of im in re 0.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.062 * [taylor]: Taking taylor expansion of -1 in re 0.062 * [taylor]: Taking taylor expansion of im in re 0.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.066 * [taylor]: Taking taylor expansion of -1 in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.066 * [taylor]: Taking taylor expansion of -1 in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of 1 in im 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of 1/2 in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.077 * * * [progress]: simplifying candidates 0.077 * [simplify]: Simplifying using # : (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (* -1 re) 0.078 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.080 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.082 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.085 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.089 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.093 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.098 * * [simplify]: iteration 6 : 69 enodes (cost 52 ) 0.108 * * [simplify]: iteration 7 : 134 enodes (cost 52 ) 0.141 * * [simplify]: iteration 8 : 350 enodes (cost 52 ) 0.287 * * [simplify]: iteration 9 : 1294 enodes (cost 52 ) 1.067 * * [simplify]: iteration done : 5001 enodes (cost 52 ) 1.068 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) im re (- re) 1.068 * * * [progress]: adding candidates to table 1.097 * * [progress]: iteration 2 / 4 1.097 * * * [progress]: picking best candidate 1.100 * * * * [pick]: Picked # 1.100 * * * [progress]: localizing error 1.104 * * * [progress]: generating rewritten candidates 1.104 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.111 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.111 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.114 * * * [progress]: generating series expansions 1.114 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.114 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.114 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.114 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.114 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.114 * [taylor]: Taking taylor expansion of (* re re) in im 1.114 * [taylor]: Taking taylor expansion of re in im 1.114 * [taylor]: Taking taylor expansion of re in im 1.115 * [taylor]: Taking taylor expansion of (* im im) in im 1.115 * [taylor]: Taking taylor expansion of im in im 1.115 * [taylor]: Taking taylor expansion of im in im 1.116 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.116 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.116 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.116 * [taylor]: Taking taylor expansion of (* re re) in re 1.116 * [taylor]: Taking taylor expansion of re in re 1.116 * [taylor]: Taking taylor expansion of re in re 1.116 * [taylor]: Taking taylor expansion of (* im im) in re 1.116 * [taylor]: Taking taylor expansion of im in re 1.116 * [taylor]: Taking taylor expansion of im in re 1.117 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.117 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.117 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.117 * [taylor]: Taking taylor expansion of (* re re) in re 1.117 * [taylor]: Taking taylor expansion of re in re 1.117 * [taylor]: Taking taylor expansion of re in re 1.117 * [taylor]: Taking taylor expansion of (* im im) in re 1.117 * [taylor]: Taking taylor expansion of im in re 1.117 * [taylor]: Taking taylor expansion of im in re 1.119 * [taylor]: Taking taylor expansion of im in im 1.119 * [taylor]: Taking taylor expansion of 0 in im 1.120 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.120 * [taylor]: Taking taylor expansion of 1/2 in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.123 * [taylor]: Taking taylor expansion of 0 in im 1.123 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.124 * [taylor]: Taking taylor expansion of re in im 1.124 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.124 * [taylor]: Taking taylor expansion of im in im 1.124 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.124 * [taylor]: Taking taylor expansion of im in im 1.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.127 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.127 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.127 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.128 * [taylor]: Taking taylor expansion of im in re 1.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.128 * [taylor]: Taking taylor expansion of im in re 1.130 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.130 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.130 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.130 * [taylor]: Taking taylor expansion of re in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.131 * [taylor]: Taking taylor expansion of re in re 1.131 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.134 * [taylor]: Taking taylor expansion of 1 in im 1.134 * [taylor]: Taking taylor expansion of 0 in im 1.136 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.136 * [taylor]: Taking taylor expansion of 1/2 in im 1.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.136 * [taylor]: Taking taylor expansion of im in im 1.140 * [taylor]: Taking taylor expansion of 0 in im 1.141 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.141 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.141 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.141 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.141 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.141 * [taylor]: Taking taylor expansion of -1 in im 1.141 * [taylor]: Taking taylor expansion of re in im 1.142 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.142 * [taylor]: Taking taylor expansion of -1 in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.142 * [taylor]: Taking taylor expansion of -1 in im 1.142 * [taylor]: Taking taylor expansion of im in im 1.142 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.142 * [taylor]: Taking taylor expansion of -1 in im 1.142 * [taylor]: Taking taylor expansion of im in im 1.145 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.145 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.145 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.145 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.145 * [taylor]: Taking taylor expansion of -1 in re 1.145 * [taylor]: Taking taylor expansion of re in re 1.146 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.146 * [taylor]: Taking taylor expansion of -1 in re 1.146 * [taylor]: Taking taylor expansion of re in re 1.146 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.146 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.146 * [taylor]: Taking taylor expansion of -1 in re 1.146 * [taylor]: Taking taylor expansion of im in re 1.146 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.146 * [taylor]: Taking taylor expansion of -1 in re 1.146 * [taylor]: Taking taylor expansion of im in re 1.149 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.149 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.149 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.149 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.149 * [taylor]: Taking taylor expansion of -1 in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.149 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.149 * [taylor]: Taking taylor expansion of -1 in re 1.149 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.150 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.150 * [taylor]: Taking taylor expansion of -1 in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.150 * [taylor]: Taking taylor expansion of -1 in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.153 * [taylor]: Taking taylor expansion of 1 in im 1.153 * [taylor]: Taking taylor expansion of 0 in im 1.155 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.155 * [taylor]: Taking taylor expansion of 1/2 in im 1.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.156 * [taylor]: Taking taylor expansion of im in im 1.164 * [taylor]: Taking taylor expansion of 0 in im 1.165 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.165 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.165 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.165 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.165 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.165 * [taylor]: Taking taylor expansion of (* re re) in im 1.165 * [taylor]: Taking taylor expansion of re in im 1.165 * [taylor]: Taking taylor expansion of re in im 1.165 * [taylor]: Taking taylor expansion of (* im im) in im 1.165 * [taylor]: Taking taylor expansion of im in im 1.165 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.166 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.166 * [taylor]: Taking taylor expansion of (* re re) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (* im im) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.168 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.168 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.168 * [taylor]: Taking taylor expansion of (* re re) in re 1.168 * [taylor]: Taking taylor expansion of re in re 1.168 * [taylor]: Taking taylor expansion of re in re 1.168 * [taylor]: Taking taylor expansion of (* im im) in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.169 * [taylor]: Taking taylor expansion of im in im 1.169 * [taylor]: Taking taylor expansion of 0 in im 1.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.171 * [taylor]: Taking taylor expansion of 1/2 in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of 0 in im 1.174 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.174 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.174 * [taylor]: Taking taylor expansion of re in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.174 * [taylor]: Taking taylor expansion of re in im 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.174 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.177 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.178 * [taylor]: Taking taylor expansion of re in re 1.178 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.181 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of 1 in im 1.184 * [taylor]: Taking taylor expansion of 0 in im 1.186 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.186 * [taylor]: Taking taylor expansion of 1/2 in im 1.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.186 * [taylor]: Taking taylor expansion of im in im 1.190 * [taylor]: Taking taylor expansion of 0 in im 1.192 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.192 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of re in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of re in im 1.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.192 * [taylor]: Taking taylor expansion of -1 in im 1.192 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.196 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.196 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.196 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.196 * [taylor]: Taking taylor expansion of -1 in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.196 * [taylor]: Taking taylor expansion of -1 in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.197 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.197 * [taylor]: Taking taylor expansion of -1 in re 1.197 * [taylor]: Taking taylor expansion of im in re 1.197 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.197 * [taylor]: Taking taylor expansion of -1 in re 1.197 * [taylor]: Taking taylor expansion of im in re 1.199 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.200 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.200 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.200 * [taylor]: Taking taylor expansion of -1 in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.200 * [taylor]: Taking taylor expansion of -1 in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.200 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.201 * [taylor]: Taking taylor expansion of -1 in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.201 * [taylor]: Taking taylor expansion of -1 in re 1.201 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of 1 in im 1.203 * [taylor]: Taking taylor expansion of 0 in im 1.206 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.206 * [taylor]: Taking taylor expansion of 1/2 in im 1.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.210 * [taylor]: Taking taylor expansion of 0 in im 1.212 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.212 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.212 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.212 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.212 * [taylor]: Taking taylor expansion of (* re re) in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (* im im) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.213 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.213 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.213 * [taylor]: Taking taylor expansion of (* re re) in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (* im im) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.214 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.215 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.215 * [taylor]: Taking taylor expansion of (* re re) in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of re in re 1.215 * [taylor]: Taking taylor expansion of (* im im) in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.215 * [taylor]: Taking taylor expansion of im in re 1.216 * [taylor]: Taking taylor expansion of im in im 1.216 * [taylor]: Taking taylor expansion of 0 in im 1.217 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.217 * [taylor]: Taking taylor expansion of 1/2 in im 1.217 * [taylor]: Taking taylor expansion of im in im 1.220 * [taylor]: Taking taylor expansion of 0 in im 1.220 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.220 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.221 * [taylor]: Taking taylor expansion of re in im 1.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.221 * [taylor]: Taking taylor expansion of re in im 1.221 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.221 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.221 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.224 * [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 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.227 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.227 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.227 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.227 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.231 * [taylor]: Taking taylor expansion of 1 in im 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.233 * [taylor]: Taking taylor expansion of 1/2 in im 1.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.237 * [taylor]: Taking taylor expansion of 0 in im 1.238 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 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 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of im in im 1.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.242 * [taylor]: Taking taylor expansion of -1 in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.243 * [taylor]: Taking taylor expansion of -1 in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.246 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.246 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.247 * [taylor]: Taking taylor expansion of -1 in re 1.247 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.251 * [taylor]: Taking taylor expansion of -1 in re 1.252 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of 1 in im 1.255 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.257 * [taylor]: Taking taylor expansion of 1/2 in im 1.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.261 * [taylor]: Taking taylor expansion of 0 in im 1.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.263 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.263 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.263 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.263 * [taylor]: Taking taylor expansion of (* re re) in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (* im im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.264 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.264 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.264 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.264 * [taylor]: Taking taylor expansion of (* re re) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (* im im) in re 1.264 * [taylor]: Taking taylor expansion of im in re 1.264 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.265 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.265 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.266 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.266 * [taylor]: Taking taylor expansion of (* re re) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [taylor]: Taking taylor expansion of (* im im) in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [taylor]: Taking taylor expansion of im in re 1.267 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of 0 in im 1.270 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.270 * [taylor]: Taking taylor expansion of 1/4 in im 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.270 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.279 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.279 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.279 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.279 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.280 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.280 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.284 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.284 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.284 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.288 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.288 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.289 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.289 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of 0 in im 1.293 * [taylor]: Taking taylor expansion of +nan.0 in im 1.295 * [taylor]: Taking taylor expansion of +nan.0 in im 1.299 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.299 * [taylor]: Taking taylor expansion of +nan.0 in im 1.299 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.299 * [taylor]: Taking taylor expansion of 1/2 in im 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.299 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of +nan.0 in im 1.305 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.305 * [taylor]: Taking taylor expansion of +nan.0 in im 1.305 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.305 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.305 * [taylor]: Taking taylor expansion of +nan.0 in im 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.305 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.305 * [taylor]: Taking taylor expansion of im in im 1.306 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.306 * [taylor]: Taking taylor expansion of +nan.0 in im 1.313 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.313 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.313 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.313 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.313 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.313 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.313 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.313 * [taylor]: Taking taylor expansion of -1 in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.313 * [taylor]: Taking taylor expansion of -1 in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.313 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.313 * [taylor]: Taking taylor expansion of -1 in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.314 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.314 * [taylor]: Taking taylor expansion of -1 in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.319 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.319 * [taylor]: Taking taylor expansion of -1 in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.319 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.319 * [taylor]: Taking taylor expansion of -1 in re 1.319 * [taylor]: Taking taylor expansion of im in re 1.323 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.323 * [taylor]: Taking taylor expansion of -1 in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.323 * [taylor]: Taking taylor expansion of -1 in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.323 * [taylor]: Taking taylor expansion of -1 in re 1.323 * [taylor]: Taking taylor expansion of im in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of 0 in im 1.327 * [taylor]: Taking taylor expansion of +nan.0 in im 1.329 * [taylor]: Taking taylor expansion of +nan.0 in im 1.333 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.333 * [taylor]: Taking taylor expansion of +nan.0 in im 1.333 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.333 * [taylor]: Taking taylor expansion of 1/2 in im 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.333 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of +nan.0 in im 1.344 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.344 * [taylor]: Taking taylor expansion of +nan.0 in im 1.344 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.345 * [taylor]: Taking taylor expansion of +nan.0 in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.345 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.345 * [taylor]: Taking taylor expansion of +nan.0 in im 1.352 * * * [progress]: simplifying candidates 1.353 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.356 * * [simplify]: iteration 0 : 86 enodes (cost 890 ) 1.372 * * [simplify]: iteration 1 : 163 enodes (cost 565 ) 1.395 * * [simplify]: iteration 2 : 445 enodes (cost 505 )