3.053 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.034 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.035 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.035 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.064 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 3 ] 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 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [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 0.075 * [taylor]: Taking taylor expansion of im in im 0.077 * [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 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.078 * [taylor]: Taking taylor expansion of re in im 0.080 * [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 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [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 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [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 0.102 * [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 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.107 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.107 * [taylor]: Taking taylor expansion of re in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of -1 in im 0.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.112 * [taylor]: Taking taylor expansion of 1/2 in im 0.112 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.112 * [taylor]: Taking taylor expansion of im in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 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 0.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.129 * [taylor]: Taking taylor expansion of 1/2 in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.140 * [taylor]: Taking taylor expansion of re in im 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) 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 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.148 * [taylor]: Taking taylor expansion of 2 in im 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.151 * [taylor]: Taking taylor expansion of 1/2 in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.151 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.157 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.158 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of 1 in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of 1 in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.185 * * * [progress]: simplifying candidates 0.186 * [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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- 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))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.191 * * [simplify]: iteration 0 : 250 enodes (cost 664 ) 0.196 * * [simplify]: iteration 1 : 1037 enodes (cost 430 ) 0.220 * * [simplify]: iteration 2 : 5002 enodes (cost 381 ) 0.223 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re 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)))) 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)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.224 * * * [progress]: adding candidates to table 0.385 * * [progress]: iteration 2 / 4 0.385 * * * [progress]: picking best candidate 0.397 * * * * [pick]: Picked # 0.398 * * * [progress]: localizing error 0.405 * * * [progress]: generating rewritten candidates 0.405 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.410 * * * [progress]: generating series expansions 0.410 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.410 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.410 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.410 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.410 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.410 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.410 * [taylor]: Taking taylor expansion of (* re re) in im 0.410 * [taylor]: Taking taylor expansion of re in im 0.410 * [taylor]: Taking taylor expansion of re in im 0.410 * [taylor]: Taking taylor expansion of (* im im) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.412 * [taylor]: Taking taylor expansion of re in im 0.412 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.412 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.412 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.412 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.412 * [taylor]: Taking taylor expansion of (* re re) in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [taylor]: Taking taylor expansion of re in re 0.412 * [taylor]: Taking taylor expansion of (* im im) in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.412 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.413 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.413 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.413 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.413 * [taylor]: Taking taylor expansion of (* re re) in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [taylor]: Taking taylor expansion of (* im im) in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [taylor]: Taking taylor expansion of -1 in im 0.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.417 * [taylor]: Taking taylor expansion of 1/2 in im 0.417 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.417 * [taylor]: Taking taylor expansion of im in im 0.420 * [taylor]: Taking taylor expansion of 0 in im 0.421 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.421 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.421 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.422 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.422 * [taylor]: Taking taylor expansion of re in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.422 * [taylor]: Taking taylor expansion of re in im 0.422 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.422 * [taylor]: Taking taylor expansion of im in im 0.422 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.422 * [taylor]: Taking taylor expansion of im in im 0.425 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.425 * [taylor]: Taking taylor expansion of re in im 0.425 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.425 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.425 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.425 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.425 * [taylor]: Taking taylor expansion of re in re 0.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.425 * [taylor]: Taking taylor expansion of re in re 0.426 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.426 * [taylor]: Taking taylor expansion of im in re 0.426 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.426 * [taylor]: Taking taylor expansion of im in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.429 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.429 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.429 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.430 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.430 * [taylor]: Taking taylor expansion of im in re 0.432 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.432 * [taylor]: Taking taylor expansion of re in re 0.433 * [taylor]: Taking taylor expansion of 0 in im 0.434 * [taylor]: Taking taylor expansion of 0 in im 0.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.437 * [taylor]: Taking taylor expansion of 1/2 in im 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.437 * [taylor]: Taking taylor expansion of im in im 0.442 * [taylor]: Taking taylor expansion of 0 in im 0.444 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.444 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.444 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.444 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.444 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.444 * [taylor]: Taking taylor expansion of -1 in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.444 * [taylor]: Taking taylor expansion of -1 in im 0.444 * [taylor]: Taking taylor expansion of re in im 0.444 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.444 * [taylor]: Taking taylor expansion of -1 in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.445 * [taylor]: Taking taylor expansion of -1 in im 0.445 * [taylor]: Taking taylor expansion of im in im 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.448 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.448 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.448 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [taylor]: Taking taylor expansion of re in re 0.449 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.449 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [taylor]: Taking taylor expansion of im in re 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.454 * [taylor]: Taking taylor expansion of re in re 0.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.455 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.455 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.455 * [taylor]: Taking taylor expansion of -1 in re 0.455 * [taylor]: Taking taylor expansion of re in re 0.455 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.455 * [taylor]: Taking taylor expansion of -1 in re 0.455 * [taylor]: Taking taylor expansion of re in re 0.456 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.456 * [taylor]: Taking taylor expansion of -1 in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.456 * [taylor]: Taking taylor expansion of -1 in re 0.456 * [taylor]: Taking taylor expansion of im in re 0.459 * [taylor]: Taking taylor expansion of 2 in im 0.459 * [taylor]: Taking taylor expansion of 0 in im 0.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.463 * [taylor]: Taking taylor expansion of 1/2 in im 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.468 * [taylor]: Taking taylor expansion of 0 in im 0.469 * * * [progress]: simplifying candidates 0.470 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.473 * * [simplify]: iteration 0 : 119 enodes (cost 199 ) 0.476 * * [simplify]: iteration 1 : 333 enodes (cost 125 ) 0.483 * * [simplify]: iteration 2 : 1490 enodes (cost 116 ) 0.516 * * [simplify]: iteration 3 : 5001 enodes (cost 85 ) 0.517 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (* re re)) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.518 * * * [progress]: adding candidates to table 0.564 * * [progress]: iteration 3 / 4 0.564 * * * [progress]: picking best candidate 0.577 * * * * [pick]: Picked # 0.577 * * * [progress]: localizing error 0.587 * * * [progress]: generating rewritten candidates 0.587 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.588 * * * [progress]: generating series expansions 0.588 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.588 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 0.588 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 0.588 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.588 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 0.588 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.588 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.588 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.588 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.588 * [taylor]: Taking taylor expansion of (* re re) in im 0.589 * [taylor]: Taking taylor expansion of re in im 0.589 * [taylor]: Taking taylor expansion of re in im 0.589 * [taylor]: Taking taylor expansion of (* im im) in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.590 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.590 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.590 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.590 * [taylor]: Taking taylor expansion of (* re re) in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of (* im im) in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.592 * [taylor]: Taking taylor expansion of (- re) in im 0.592 * [taylor]: Taking taylor expansion of re in im 0.592 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.592 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.592 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.592 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.592 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.592 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.592 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.592 * [taylor]: Taking taylor expansion of (* re re) in re 0.592 * [taylor]: Taking taylor expansion of re in re 0.592 * [taylor]: Taking taylor expansion of re in re 0.592 * [taylor]: Taking taylor expansion of (* im im) in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.592 * [taylor]: Taking taylor expansion of im in re 0.593 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.593 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.593 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.593 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.593 * [taylor]: Taking taylor expansion of (* re re) in re 0.594 * [taylor]: Taking taylor expansion of re in re 0.594 * [taylor]: Taking taylor expansion of re in re 0.594 * [taylor]: Taking taylor expansion of (* im im) in re 0.594 * [taylor]: Taking taylor expansion of im in re 0.594 * [taylor]: Taking taylor expansion of im in re 0.595 * [taylor]: Taking taylor expansion of (- re) in re 0.595 * [taylor]: Taking taylor expansion of re in re 0.595 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.595 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.595 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.595 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.595 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.595 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.595 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.595 * [taylor]: Taking taylor expansion of (* re re) in re 0.595 * [taylor]: Taking taylor expansion of re in re 0.595 * [taylor]: Taking taylor expansion of re in re 0.595 * [taylor]: Taking taylor expansion of (* im im) in re 0.595 * [taylor]: Taking taylor expansion of im in re 0.595 * [taylor]: Taking taylor expansion of im in re 0.596 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.597 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.597 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.597 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.597 * [taylor]: Taking taylor expansion of (* re re) in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of re in re 0.597 * [taylor]: Taking taylor expansion of (* im im) in re 0.597 * [taylor]: Taking taylor expansion of im in re 0.597 * [taylor]: Taking taylor expansion of im in re 0.598 * [taylor]: Taking taylor expansion of (- re) in re 0.598 * [taylor]: Taking taylor expansion of re in re 0.598 * [taylor]: Taking taylor expansion of im in im 0.599 * [taylor]: Taking taylor expansion of -1 in im 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.604 * [taylor]: Taking taylor expansion of 1/2 in im 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of 0 in im 0.610 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 0.610 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 0.610 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.610 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 0.610 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.610 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.610 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.610 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.615 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.615 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.615 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.615 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.615 * [taylor]: Taking taylor expansion of re in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.615 * [taylor]: Taking taylor expansion of re in im 0.615 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 0.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.619 * [taylor]: Taking taylor expansion of re in im 0.619 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.620 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.620 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.620 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.620 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.620 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.620 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.624 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.624 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.624 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.624 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.624 * [taylor]: Taking taylor expansion of re in re 0.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.625 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.629 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.629 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.629 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.629 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.629 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.634 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.634 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.634 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.640 * [taylor]: Taking taylor expansion of -1 in im 0.646 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.646 * [taylor]: Taking taylor expansion of +nan.0 in im 0.659 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.659 * [taylor]: Taking taylor expansion of +nan.0 in im 0.668 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.668 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.668 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.668 * [taylor]: Taking taylor expansion of +nan.0 in im 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.668 * [taylor]: Taking taylor expansion of +nan.0 in im 0.671 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 0.671 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 0.672 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.672 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 0.672 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.672 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.672 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.672 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.672 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.672 * [taylor]: Taking taylor expansion of -1 in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.672 * [taylor]: Taking taylor expansion of -1 in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.672 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.672 * [taylor]: Taking taylor expansion of -1 in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.672 * [taylor]: Taking taylor expansion of -1 in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.676 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.676 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.676 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.676 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.676 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.676 * [taylor]: Taking taylor expansion of -1 in im 0.676 * [taylor]: Taking taylor expansion of re in im 0.676 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.676 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.677 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.677 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.677 * [taylor]: Taking taylor expansion of -1 in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.681 * [taylor]: Taking taylor expansion of re in im 0.681 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.681 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.681 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.681 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.681 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.682 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of re in re 0.682 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.682 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.682 * [taylor]: Taking taylor expansion of -1 in re 0.682 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.686 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.686 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.686 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.686 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.686 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.686 * [taylor]: Taking taylor expansion of -1 in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.687 * [taylor]: Taking taylor expansion of -1 in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.687 * [taylor]: Taking taylor expansion of -1 in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.687 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.687 * [taylor]: Taking taylor expansion of -1 in re 0.687 * [taylor]: Taking taylor expansion of im in re 0.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.691 * [taylor]: Taking taylor expansion of re in re 0.691 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.691 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.691 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.691 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.691 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.692 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.692 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.692 * [taylor]: Taking taylor expansion of -1 in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.692 * [taylor]: Taking taylor expansion of -1 in re 0.692 * [taylor]: Taking taylor expansion of re in re 0.692 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.692 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.692 * [taylor]: Taking taylor expansion of -1 in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.692 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.692 * [taylor]: Taking taylor expansion of -1 in re 0.692 * [taylor]: Taking taylor expansion of im in re 0.696 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.696 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.696 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.696 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.696 * [taylor]: Taking taylor expansion of -1 in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.697 * [taylor]: Taking taylor expansion of -1 in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.701 * [taylor]: Taking taylor expansion of re in re 0.701 * [taylor]: Taking taylor expansion of 0 in im 0.702 * [taylor]: Taking taylor expansion of 1 in im 0.708 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.708 * [taylor]: Taking taylor expansion of +nan.0 in im 0.718 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.718 * [taylor]: Taking taylor expansion of +nan.0 in im 0.727 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.727 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.727 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.727 * [taylor]: Taking taylor expansion of +nan.0 in im 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.728 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.728 * [taylor]: Taking taylor expansion of +nan.0 in im 0.730 * * * [progress]: simplifying candidates 0.731 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) 0.733 * * [simplify]: iteration 0 : 48 enodes (cost 100 ) 0.735 * * [simplify]: iteration 1 : 133 enodes (cost 85 ) 0.738 * * [simplify]: iteration 2 : 439 enodes (cost 82 ) 0.746 * * [simplify]: iteration 3 : 1931 enodes (cost 78 ) 0.785 * * [simplify]: iteration 4 : 5001 enodes (cost 78 ) 0.786 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) 0.786 * * * [progress]: adding candidates to table 0.821 * * [progress]: iteration 4 / 4 0.821 * * * [progress]: picking best candidate 0.832 * * * * [pick]: Picked # 0.832 * * * [progress]: localizing error 0.847 * * * [progress]: generating rewritten candidates 0.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.848 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.849 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.850 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.851 * * * [progress]: generating series expansions 0.851 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.852 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 0.852 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 0.852 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.852 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 0.852 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.852 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.852 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.852 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.852 * [taylor]: Taking taylor expansion of (* re re) in im 0.852 * [taylor]: Taking taylor expansion of re in im 0.852 * [taylor]: Taking taylor expansion of re in im 0.852 * [taylor]: Taking taylor expansion of (* im im) in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.853 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.854 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.854 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.854 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.854 * [taylor]: Taking taylor expansion of (* re re) in im 0.854 * [taylor]: Taking taylor expansion of re in im 0.854 * [taylor]: Taking taylor expansion of re in im 0.854 * [taylor]: Taking taylor expansion of (* im im) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.855 * [taylor]: Taking taylor expansion of (- re) in im 0.855 * [taylor]: Taking taylor expansion of re in im 0.855 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.855 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.855 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.855 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.855 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.855 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.855 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.855 * [taylor]: Taking taylor expansion of (* re re) in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of re in re 0.855 * [taylor]: Taking taylor expansion of (* im im) in re 0.855 * [taylor]: Taking taylor expansion of im in re 0.855 * [taylor]: Taking taylor expansion of im in re 0.857 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.857 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.857 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.857 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.857 * [taylor]: Taking taylor expansion of (* re re) in re 0.857 * [taylor]: Taking taylor expansion of re in re 0.857 * [taylor]: Taking taylor expansion of re in re 0.857 * [taylor]: Taking taylor expansion of (* im im) in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.857 * [taylor]: Taking taylor expansion of im in re 0.858 * [taylor]: Taking taylor expansion of (- re) in re 0.858 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 0.858 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.858 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 0.858 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.858 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.858 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.858 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.858 * [taylor]: Taking taylor expansion of (* re re) in re 0.858 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of (* im im) in re 0.858 * [taylor]: Taking taylor expansion of im in re 0.858 * [taylor]: Taking taylor expansion of im in re 0.860 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 0.860 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.860 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.860 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.860 * [taylor]: Taking taylor expansion of (* re re) in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [taylor]: Taking taylor expansion of re in re 0.860 * [taylor]: Taking taylor expansion of (* im im) in re 0.860 * [taylor]: Taking taylor expansion of im in re 0.860 * [taylor]: Taking taylor expansion of im in re 0.861 * [taylor]: Taking taylor expansion of (- re) in re 0.861 * [taylor]: Taking taylor expansion of re in re 0.861 * [taylor]: Taking taylor expansion of im in im 0.862 * [taylor]: Taking taylor expansion of -1 in im 0.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.870 * [taylor]: Taking taylor expansion of 1/2 in im 0.870 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.876 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 0.876 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 0.876 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.876 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 0.876 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.876 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.876 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.876 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.876 * [taylor]: Taking taylor expansion of re in im 0.876 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.876 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.877 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 0.881 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.881 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.881 * [taylor]: Taking taylor expansion of re in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.881 * [taylor]: Taking taylor expansion of re in im 0.881 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.881 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.881 * [taylor]: Taking taylor expansion of im in im 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 0.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.885 * [taylor]: Taking taylor expansion of re in im 0.885 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.886 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.886 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.886 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.886 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.886 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.886 * [taylor]: Taking taylor expansion of re in re 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.886 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 0.895 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 0.895 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 0.895 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.895 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.895 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.895 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.895 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.896 * [taylor]: Taking taylor expansion of im in re 0.899 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 0.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.900 * [taylor]: Taking taylor expansion of re in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.900 * [taylor]: Taking taylor expansion of re in re 0.900 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.905 * [taylor]: Taking taylor expansion of 0 in im 0.905 * [taylor]: Taking taylor expansion of -1 in im 0.912 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.912 * [taylor]: Taking taylor expansion of +nan.0 in im 0.921 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.921 * [taylor]: Taking taylor expansion of +nan.0 in im 0.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.930 * [taylor]: Taking taylor expansion of +nan.0 in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.931 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.931 * [taylor]: Taking taylor expansion of +nan.0 in im 0.933 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 0.934 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 0.934 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.934 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 0.934 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.934 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.939 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 0.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.939 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.939 * [taylor]: Taking taylor expansion of -1 in im 0.939 * [taylor]: Taking taylor expansion of re in im 0.939 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.939 * [taylor]: Taking taylor expansion of -1 in im 0.939 * [taylor]: Taking taylor expansion of re in im 0.939 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.939 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.939 * [taylor]: Taking taylor expansion of -1 in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.940 * [taylor]: Taking taylor expansion of -1 in im 0.940 * [taylor]: Taking taylor expansion of im in im 0.944 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.944 * [taylor]: Taking taylor expansion of re in im 0.944 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.944 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.944 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.944 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.944 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.944 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.944 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.944 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.944 * [taylor]: Taking taylor expansion of -1 in re 0.944 * [taylor]: Taking taylor expansion of re in re 0.945 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.945 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.945 * [taylor]: Taking taylor expansion of -1 in re 0.945 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.945 * [taylor]: Taking taylor expansion of -1 in re 0.945 * [taylor]: Taking taylor expansion of im in re 0.948 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.948 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.949 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.949 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.949 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.949 * [taylor]: Taking taylor expansion of -1 in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.949 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.949 * [taylor]: Taking taylor expansion of -1 in re 0.949 * [taylor]: Taking taylor expansion of re in re 0.949 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.949 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.949 * [taylor]: Taking taylor expansion of -1 in re 0.949 * [taylor]: Taking taylor expansion of im in re 0.949 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.949 * [taylor]: Taking taylor expansion of -1 in re 0.949 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 0.958 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 0.958 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 0.958 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.959 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.959 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.959 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.959 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.959 * [taylor]: Taking taylor expansion of -1 in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.963 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 0.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.963 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.963 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.963 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.963 * [taylor]: Taking taylor expansion of -1 in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.964 * [taylor]: Taking taylor expansion of -1 in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.964 * [taylor]: Taking taylor expansion of -1 in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.964 * [taylor]: Taking taylor expansion of -1 in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.969 * [taylor]: Taking taylor expansion of 0 in im 0.969 * [taylor]: Taking taylor expansion of 1 in im 0.975 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.975 * [taylor]: Taking taylor expansion of +nan.0 in im 0.985 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.985 * [taylor]: Taking taylor expansion of +nan.0 in im 0.994 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 0.994 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 0.994 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 0.994 * [taylor]: Taking taylor expansion of +nan.0 in im 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.994 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.994 * [taylor]: Taking taylor expansion of im in im 0.994 * [taylor]: Taking taylor expansion of (- +nan.0) in im 0.994 * [taylor]: Taking taylor expansion of +nan.0 in im 0.997 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 0.997 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 0.997 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 0.997 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 0.997 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 0.997 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.997 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.997 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.997 * [taylor]: Taking taylor expansion of (* re re) in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.998 * [taylor]: Taking taylor expansion of re in im 0.998 * [taylor]: Taking taylor expansion of (* im im) in im 0.998 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 0.999 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.999 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.999 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.999 * [taylor]: Taking taylor expansion of (* re re) in im 0.999 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of (* im im) in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of im in im 1.000 * [taylor]: Taking taylor expansion of (- re) in im 1.000 * [taylor]: Taking taylor expansion of re in im 1.000 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.000 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.000 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.000 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.000 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.000 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.000 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.000 * [taylor]: Taking taylor expansion of (* re re) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (* im im) in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.002 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.002 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.002 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.002 * [taylor]: Taking taylor expansion of (* re re) in re 1.002 * [taylor]: Taking taylor expansion of re in re 1.002 * [taylor]: Taking taylor expansion of re in re 1.002 * [taylor]: Taking taylor expansion of (* im im) in re 1.002 * [taylor]: Taking taylor expansion of im in re 1.002 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (- re) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.003 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.003 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.003 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.003 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.003 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.003 * [taylor]: Taking taylor expansion of (* re re) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [taylor]: Taking taylor expansion of (* im im) in re 1.004 * [taylor]: Taking taylor expansion of im in re 1.004 * [taylor]: Taking taylor expansion of im in re 1.005 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.005 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.005 * [taylor]: Taking taylor expansion of (* re re) in re 1.005 * [taylor]: Taking taylor expansion of re in re 1.005 * [taylor]: Taking taylor expansion of re in re 1.005 * [taylor]: Taking taylor expansion of (* im im) in re 1.005 * [taylor]: Taking taylor expansion of im in re 1.005 * [taylor]: Taking taylor expansion of im in re 1.006 * [taylor]: Taking taylor expansion of (- re) in re 1.006 * [taylor]: Taking taylor expansion of re in re 1.007 * [taylor]: Taking taylor expansion of im in im 1.007 * [taylor]: Taking taylor expansion of -1 in im 1.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.012 * [taylor]: Taking taylor expansion of 1/2 in im 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.012 * [taylor]: Taking taylor expansion of im in im 1.017 * [taylor]: Taking taylor expansion of 0 in im 1.018 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.018 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.018 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.018 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.019 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.019 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.019 * [taylor]: Taking taylor expansion of re in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.019 * [taylor]: Taking taylor expansion of re in im 1.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.023 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.023 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.024 * [taylor]: Taking taylor expansion of re in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.024 * [taylor]: Taking taylor expansion of re in im 1.024 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.024 * [taylor]: Taking taylor expansion of im in im 1.028 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.028 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.028 * [taylor]: Taking taylor expansion of re in im 1.028 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.028 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.028 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.028 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.028 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.028 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.028 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.028 * [taylor]: Taking taylor expansion of re in re 1.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.028 * [taylor]: Taking taylor expansion of re in re 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.029 * [taylor]: Taking taylor expansion of im in re 1.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.029 * [taylor]: Taking taylor expansion of im in re 1.032 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.033 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.033 * [taylor]: Taking taylor expansion of im in re 1.033 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.033 * [taylor]: Taking taylor expansion of im in re 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.037 * [taylor]: Taking taylor expansion of re in re 1.037 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.038 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.038 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.038 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.038 * [taylor]: Taking taylor expansion of re in re 1.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.038 * [taylor]: Taking taylor expansion of re in re 1.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.038 * [taylor]: Taking taylor expansion of im in re 1.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.038 * [taylor]: Taking taylor expansion of im in re 1.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.042 * [taylor]: Taking taylor expansion of re in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.042 * [taylor]: Taking taylor expansion of re in re 1.043 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.043 * [taylor]: Taking taylor expansion of im in re 1.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.043 * [taylor]: Taking taylor expansion of im in re 1.051 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.052 * [taylor]: Taking taylor expansion of 0 in im 1.053 * [taylor]: Taking taylor expansion of -1 in im 1.059 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.059 * [taylor]: Taking taylor expansion of +nan.0 in im 1.069 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.069 * [taylor]: Taking taylor expansion of +nan.0 in im 1.078 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.078 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.078 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.078 * [taylor]: Taking taylor expansion of +nan.0 in im 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.078 * [taylor]: Taking taylor expansion of im in im 1.078 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.078 * [taylor]: Taking taylor expansion of +nan.0 in im 1.081 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.081 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.081 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.081 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.081 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.081 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.081 * [taylor]: Taking taylor expansion of -1 in im 1.081 * [taylor]: Taking taylor expansion of re in im 1.081 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.081 * [taylor]: Taking taylor expansion of -1 in im 1.081 * [taylor]: Taking taylor expansion of re in im 1.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.082 * [taylor]: Taking taylor expansion of -1 in im 1.082 * [taylor]: Taking taylor expansion of im in im 1.082 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.082 * [taylor]: Taking taylor expansion of -1 in im 1.082 * [taylor]: Taking taylor expansion of im in im 1.086 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.086 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.086 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.086 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in 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 (/ -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 (* (/ -1 im) (/ -1 im)) in im 1.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.086 * [taylor]: Taking taylor expansion of -1 in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.086 * [taylor]: Taking taylor expansion of -1 in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.091 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.091 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.091 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.091 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.091 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.091 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.091 * [taylor]: Taking taylor expansion of -1 in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.091 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.091 * [taylor]: Taking taylor expansion of -1 in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.092 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.092 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.092 * [taylor]: Taking taylor expansion of -1 in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.092 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.092 * [taylor]: Taking taylor expansion of -1 in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.095 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.095 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.096 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.096 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.096 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.096 * [taylor]: Taking taylor expansion of -1 in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.096 * [taylor]: Taking taylor expansion of -1 in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.096 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.096 * [taylor]: Taking taylor expansion of -1 in re 1.096 * [taylor]: Taking taylor expansion of im in re 1.096 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.096 * [taylor]: Taking taylor expansion of -1 in re 1.096 * [taylor]: Taking taylor expansion of im in re 1.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.101 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.101 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.101 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.101 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.101 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.101 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.101 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.101 * [taylor]: Taking taylor expansion of -1 in re 1.101 * [taylor]: Taking taylor expansion of re in re 1.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.101 * [taylor]: Taking taylor expansion of -1 in re 1.101 * [taylor]: Taking taylor expansion of re in re 1.102 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.102 * [taylor]: Taking taylor expansion of -1 in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.102 * [taylor]: Taking taylor expansion of -1 in re 1.102 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.105 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.106 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.106 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.106 * [taylor]: Taking taylor expansion of -1 in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.106 * [taylor]: Taking taylor expansion of -1 in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.106 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.106 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.106 * [taylor]: Taking taylor expansion of -1 in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.106 * [taylor]: Taking taylor expansion of -1 in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.110 * [taylor]: Taking taylor expansion of re in re 1.111 * [taylor]: Taking taylor expansion of 0 in im 1.112 * [taylor]: Taking taylor expansion of 1 in im 1.118 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.118 * [taylor]: Taking taylor expansion of +nan.0 in im 1.127 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.127 * [taylor]: Taking taylor expansion of +nan.0 in im 1.142 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.142 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.142 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.142 * [taylor]: Taking taylor expansion of +nan.0 in im 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.142 * [taylor]: Taking taylor expansion of im in im 1.142 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.142 * [taylor]: Taking taylor expansion of +nan.0 in im 1.145 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 1.145 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.145 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.145 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.145 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.145 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.145 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.145 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.145 * [taylor]: Taking taylor expansion of (* re re) in im 1.145 * [taylor]: Taking taylor expansion of re in im 1.145 * [taylor]: Taking taylor expansion of re in im 1.145 * [taylor]: Taking taylor expansion of (* im im) in im 1.145 * [taylor]: Taking taylor expansion of im in im 1.145 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.147 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.147 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.147 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.147 * [taylor]: Taking taylor expansion of (* re re) in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of re in im 1.147 * [taylor]: Taking taylor expansion of (* im im) in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.147 * [taylor]: Taking taylor expansion of im in im 1.148 * [taylor]: Taking taylor expansion of (- re) in im 1.148 * [taylor]: Taking taylor expansion of re in im 1.148 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.148 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.148 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.148 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.148 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.148 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.148 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.148 * [taylor]: Taking taylor expansion of (* re re) in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of re in re 1.148 * [taylor]: Taking taylor expansion of (* im im) in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.148 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.150 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.150 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.150 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.150 * [taylor]: Taking taylor expansion of (* re re) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [taylor]: Taking taylor expansion of (* im im) in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.150 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of (- re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.151 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.151 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.151 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.151 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.151 * [taylor]: Taking taylor expansion of (* re re) in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of re in re 1.151 * [taylor]: Taking taylor expansion of (* im im) in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.151 * [taylor]: Taking taylor expansion of im in re 1.152 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.152 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.153 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.153 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.153 * [taylor]: Taking taylor expansion of (* re re) in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of re in re 1.153 * [taylor]: Taking taylor expansion of (* im im) in re 1.153 * [taylor]: Taking taylor expansion of im in re 1.153 * [taylor]: Taking taylor expansion of im in re 1.154 * [taylor]: Taking taylor expansion of (- re) in re 1.154 * [taylor]: Taking taylor expansion of re in re 1.154 * [taylor]: Taking taylor expansion of im in im 1.155 * [taylor]: Taking taylor expansion of -1 in im 1.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.160 * [taylor]: Taking taylor expansion of 1/2 in im 1.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.160 * [taylor]: Taking taylor expansion of im in im 1.164 * [taylor]: Taking taylor expansion of 0 in im 1.166 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.166 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.166 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.166 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.166 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.166 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.166 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.166 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.166 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.166 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.166 * [taylor]: Taking taylor expansion of im in im 1.170 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.170 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.171 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.171 * [taylor]: Taking taylor expansion of re in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.171 * [taylor]: Taking taylor expansion of re in im 1.171 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of (- (/ 1 re)) 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 (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.175 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.175 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.175 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.175 * [taylor]: Taking taylor expansion of re in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.176 * [taylor]: Taking taylor expansion of re in re 1.176 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.176 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.180 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.180 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.180 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.180 * [taylor]: Taking taylor expansion of im in re 1.184 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.184 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.184 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.184 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.184 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.185 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.185 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.189 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.189 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.190 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.190 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.190 * [taylor]: Taking taylor expansion of im in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.190 * [taylor]: Taking taylor expansion of im in re 1.194 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.194 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [taylor]: Taking taylor expansion of -1 in im 1.202 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.202 * [taylor]: Taking taylor expansion of +nan.0 in im 1.211 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.211 * [taylor]: Taking taylor expansion of +nan.0 in im 1.220 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.220 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.220 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.220 * [taylor]: Taking taylor expansion of +nan.0 in im 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.220 * [taylor]: Taking taylor expansion of im in im 1.221 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.221 * [taylor]: Taking taylor expansion of +nan.0 in im 1.230 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.230 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.230 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.230 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.230 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.230 * [taylor]: Taking taylor expansion of -1 in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.230 * [taylor]: Taking taylor expansion of -1 in im 1.230 * [taylor]: Taking taylor expansion of re in im 1.230 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.230 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.231 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.231 * [taylor]: Taking taylor expansion of -1 in im 1.231 * [taylor]: Taking taylor expansion of im in im 1.235 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.235 * [taylor]: Taking taylor expansion of -1 in im 1.235 * [taylor]: Taking taylor expansion of re in im 1.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.235 * [taylor]: Taking taylor expansion of -1 in im 1.235 * [taylor]: Taking taylor expansion of re in im 1.235 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.235 * [taylor]: Taking taylor expansion of -1 in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.235 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.236 * [taylor]: Taking taylor expansion of -1 in im 1.236 * [taylor]: Taking taylor expansion of im in im 1.240 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.240 * [taylor]: Taking taylor expansion of re in im 1.240 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.240 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.240 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.240 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.240 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.240 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.240 * [taylor]: Taking taylor expansion of -1 in re 1.240 * [taylor]: Taking taylor expansion of re in re 1.240 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.240 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.241 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.241 * [taylor]: Taking taylor expansion of -1 in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.245 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.245 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.245 * [taylor]: Taking taylor expansion of -1 in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.250 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.250 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.250 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.250 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.250 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.250 * [taylor]: Taking taylor expansion of -1 in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.250 * [taylor]: Taking taylor expansion of -1 in re 1.250 * [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 1.251 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.254 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.255 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.255 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.255 * [taylor]: Taking taylor expansion of -1 in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.255 * [taylor]: Taking taylor expansion of -1 in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.255 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.255 * [taylor]: Taking taylor expansion of -1 in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.255 * [taylor]: Taking taylor expansion of -1 in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.260 * [taylor]: Taking taylor expansion of 0 in im 1.260 * [taylor]: Taking taylor expansion of 1 in im 1.267 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.267 * [taylor]: Taking taylor expansion of +nan.0 in im 1.276 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.276 * [taylor]: Taking taylor expansion of +nan.0 in im 1.285 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.285 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.285 * [taylor]: Taking taylor expansion of +nan.0 in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.286 * [taylor]: Taking taylor expansion of +nan.0 in im 1.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.289 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in (re im) around 0 1.289 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in im 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in im 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in im 1.289 * [taylor]: Taking taylor expansion of 1/3 in im 1.289 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 1.289 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.289 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.289 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.289 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.289 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.289 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.289 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.289 * [taylor]: Taking taylor expansion of (* re re) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of re in im 1.290 * [taylor]: Taking taylor expansion of (* im im) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.291 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.291 * [taylor]: Taking taylor expansion of (* re re) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (* im im) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (- re) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.298 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in re 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in re 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re 1.298 * [taylor]: Taking taylor expansion of 1/3 in re 1.298 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.298 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.298 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.298 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.298 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.298 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.298 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.298 * [taylor]: Taking taylor expansion of (* re re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (* im im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.300 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.300 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.300 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.300 * [taylor]: Taking taylor expansion of (* re re) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.300 * [taylor]: Taking taylor expansion of (* im im) in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (- re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 1/3) in re 1.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) in re 1.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) in re 1.302 * [taylor]: Taking taylor expansion of 1/3 in re 1.302 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.302 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.302 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.302 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.302 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.302 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.302 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.302 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.302 * [taylor]: Taking taylor expansion of (* re re) in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (* im im) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.303 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.303 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.303 * [taylor]: Taking taylor expansion of (* re re) in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.303 * [taylor]: Taking taylor expansion of (* im im) in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.305 * [taylor]: Taking taylor expansion of (- re) in re 1.305 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.305 * [taylor]: Taking taylor expansion of 1/3 in im 1.305 * [taylor]: Taking taylor expansion of (log im) in im 1.305 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 1.308 * [taylor]: Taking taylor expansion of -1/3 in im 1.308 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 1.308 * [taylor]: Taking taylor expansion of 1/3 in im 1.308 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.325 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 1.325 * [taylor]: Taking taylor expansion of 1/18 in im 1.325 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.325 * [taylor]: Taking taylor expansion of 1/3 in im 1.325 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.325 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.325 * [taylor]: Taking taylor expansion of im in im 1.328 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in (re im) around 0 1.328 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in im 1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in im 1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im 1.328 * [taylor]: Taking taylor expansion of 1/3 in im 1.328 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 1.328 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.328 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.328 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.328 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.328 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 1.329 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.329 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.333 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.333 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.333 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.334 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.334 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.346 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in re 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in re 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.346 * [taylor]: Taking taylor expansion of 1/3 in re 1.346 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.346 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.346 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.346 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.347 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.347 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.347 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.347 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.347 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.347 * [taylor]: Taking taylor expansion of im in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.347 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.351 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.352 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.352 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.352 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.359 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) 1/3) in re 1.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))))) in re 1.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.359 * [taylor]: Taking taylor expansion of 1/3 in re 1.359 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.359 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.359 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.359 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.359 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.360 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.360 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.364 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.364 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.364 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.364 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.364 * [taylor]: Taking taylor expansion of re in re 1.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.364 * [taylor]: Taking taylor expansion of re in re 1.365 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.365 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.365 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.365 * [taylor]: Taking taylor expansion of im in re 1.368 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.368 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 1.372 * [taylor]: Taking taylor expansion of 1/3 in im 1.372 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 1.372 * [taylor]: Taking taylor expansion of (log -1) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of (log re) in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/3 (- (log -1) (log re))))) in im 1.387 * [taylor]: Taking taylor expansion of +nan.0 in im 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 1.387 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 1.388 * [taylor]: Taking taylor expansion of 1/3 in im 1.388 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 1.388 * [taylor]: Taking taylor expansion of (log -1) in im 1.388 * [taylor]: Taking taylor expansion of -1 in im 1.388 * [taylor]: Taking taylor expansion of (log re) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.423 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/3 (- (log -1) (log re))))) in im 1.423 * [taylor]: Taking taylor expansion of +nan.0 in im 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log re)))) in im 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log re))) in im 1.423 * [taylor]: Taking taylor expansion of 1/3 in im 1.423 * [taylor]: Taking taylor expansion of (- (log -1) (log re)) in im 1.423 * [taylor]: Taking taylor expansion of (log -1) in im 1.423 * [taylor]: Taking taylor expansion of -1 in im 1.423 * [taylor]: Taking taylor expansion of (log re) in im 1.423 * [taylor]: Taking taylor expansion of re in im 1.427 * [approximate]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in (re im) around 0 1.427 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in im 1.427 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in im 1.427 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in im 1.427 * [taylor]: Taking taylor expansion of 1/3 in im 1.427 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 1.427 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.427 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.427 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.427 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.427 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.427 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.427 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.427 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.427 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.427 * [taylor]: Taking taylor expansion of -1 in im 1.427 * [taylor]: Taking taylor expansion of re in im 1.427 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.427 * [taylor]: Taking taylor expansion of -1 in im 1.427 * [taylor]: Taking taylor expansion of re in im 1.427 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.427 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.427 * [taylor]: Taking taylor expansion of -1 in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.428 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.428 * [taylor]: Taking taylor expansion of -1 in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.432 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.432 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.432 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.432 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.432 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.432 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.432 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of re in im 1.432 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.432 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of re in im 1.432 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.432 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.432 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.433 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.433 * [taylor]: Taking taylor expansion of -1 in im 1.433 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.444 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in re 1.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in re 1.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re 1.444 * [taylor]: Taking taylor expansion of 1/3 in re 1.444 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.444 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.444 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.444 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.444 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.444 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.445 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.445 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of re in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of re in re 1.445 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of im in re 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.445 * [taylor]: Taking taylor expansion of -1 in re 1.445 * [taylor]: Taking taylor expansion of im in re 1.449 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.449 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.449 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.449 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.449 * [taylor]: Taking taylor expansion of -1 in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.450 * [taylor]: Taking taylor expansion of -1 in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.454 * [taylor]: Taking taylor expansion of re in re 1.456 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) 1/3) in re 1.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))))) in re 1.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)))) in re 1.456 * [taylor]: Taking taylor expansion of 1/3 in re 1.456 * [taylor]: Taking taylor expansion of (log (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 1.456 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.456 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.456 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.456 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.456 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.456 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.456 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.456 * [taylor]: Taking taylor expansion of -1 in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.456 * [taylor]: Taking taylor expansion of -1 in re 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.457 * [taylor]: Taking taylor expansion of -1 in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.457 * [taylor]: Taking taylor expansion of -1 in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.461 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.462 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.462 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.462 * [taylor]: Taking taylor expansion of -1 in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.467 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.467 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.467 * [taylor]: Taking taylor expansion of -1/3 in im 1.467 * [taylor]: Taking taylor expansion of (log re) in im 1.467 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 re) 1/3)) in im 1.481 * [taylor]: Taking taylor expansion of +nan.0 in im 1.481 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.481 * [taylor]: Taking taylor expansion of 1/3 in im 1.481 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.481 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.513 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 re) 1/3)) in im 1.513 * [taylor]: Taking taylor expansion of +nan.0 in im 1.513 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.513 * [taylor]: Taking taylor expansion of 1/3 in im 1.513 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.513 * [taylor]: Taking taylor expansion of re in im 1.514 * * * [progress]: simplifying candidates 1.515 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log1p (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (exp (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt 1) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (* (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (- (exp (* 1/3 (- (log -1) (log (/ 1 re))))) (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 re))))) (pow re 2))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 re))))) re))))) (- (pow (/ -1 re) -1/3) (+ (* +nan.0 (pow (/ -1 (pow re 5)) 1/3)) (- (* +nan.0 (pow (/ -1 (pow re 2)) 1/3))))) 1.519 * * [simplify]: iteration 0 : 178 enodes (cost 497 ) 1.522 * * [simplify]: iteration 1 : 479 enodes (cost 435 ) 1.531 * * [simplify]: iteration 2 : 1621 enodes (cost 418 ) 1.559 * * [simplify]: iteration 3 : 5001 enodes (cost 395 ) 1.562 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (/ (exp (hypot re im)) (exp re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log1p (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (log (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (exp (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt 1) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))))) (cbrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- (hypot re im) re) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (- (pow im 1/3) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))))) (+ (* (+ (/ +nan.0 re) 1) (* (pow re 1/3) (pow -1 1/3))) (* (- +nan.0) (* (/ (pow -1 1/3) re) (/ (pow re 1/3) re)))) (fma (- +nan.0) (- (pow (/ -1 (pow re 5)) 1/3) (pow (/ -1 (pow re 2)) 1/3)) (pow (/ -1 re) -1/3)) 1.562 * * * [progress]: adding candidates to table 1.780 * [progress]: [Phase 3 of 3] Extracting. 1.781 * * [regime]: Finding splitpoints for: (# # # # # #) 1.784 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 1.784 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 1.829 * * * * [regimes]: Trying to branch on (* im im) from (# #) 1.842 * * * * [regimes]: Trying to branch on im from (# # # # # #) 1.885 * * * * [regimes]: Trying to branch on re from (# # # # # #) 1.917 * * * [regime]: Found split indices: #