2.417 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.032 * * [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 ) 0.036 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.036 * [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 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.052 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.073 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.080 * [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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.083 * [taylor]: Taking taylor expansion of 1/2 in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of 1 in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of 1/2 in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.101 * [taylor]: Taking taylor expansion of re in im 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.109 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.119 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.119 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of -1 in im 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.123 * [taylor]: Taking taylor expansion of 1/2 in im 0.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.130 * [taylor]: Taking taylor expansion of re in im 0.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of 2 in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.165 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.165 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.165 * [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 (+ (pow re 2) (pow im 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 0.165 * [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 (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [taylor]: Taking taylor expansion of 1 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of 1 in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.182 * [taylor]: Taking taylor expansion of re in im 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of 1 in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.192 * * * [progress]: simplifying candidates 0.195 * [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)) 0.200 * * [simplify]: iteration 0 : 250 enodes (cost 664 ) 0.205 * * [simplify]: iteration 1 : 1037 enodes (cost 430 ) 0.228 * * [simplify]: iteration 2 : 5002 enodes (cost 381 ) 0.231 * [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)) 0.231 * * * [progress]: adding candidates to table 0.401 * * [progress]: iteration 2 / 4 0.401 * * * [progress]: picking best candidate 0.408 * * * * [pick]: Picked # 0.408 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 0.420 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.420 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.420 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.421 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.421 * [taylor]: Taking taylor expansion of (* re re) in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of re in im 0.421 * [taylor]: Taking taylor expansion of (* im im) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.423 * [taylor]: Taking taylor expansion of re in im 0.423 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.423 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.423 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.423 * [taylor]: Taking taylor expansion of (* re re) in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [taylor]: Taking taylor expansion of (* im im) in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.423 * [taylor]: Taking taylor expansion of im in re 0.424 * [taylor]: Taking taylor expansion of re in re 0.424 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.424 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.424 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.424 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.424 * [taylor]: Taking taylor expansion of (* re re) in re 0.424 * [taylor]: Taking taylor expansion of re in re 0.424 * [taylor]: Taking taylor expansion of re in re 0.424 * [taylor]: Taking taylor expansion of (* im im) in re 0.424 * [taylor]: Taking taylor expansion of im in re 0.424 * [taylor]: Taking taylor expansion of im in re 0.426 * [taylor]: Taking taylor expansion of re in re 0.426 * [taylor]: Taking taylor expansion of im in im 0.427 * [taylor]: Taking taylor expansion of -1 in im 0.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.428 * [taylor]: Taking taylor expansion of 1/2 in im 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.428 * [taylor]: Taking taylor expansion of im in im 0.432 * [taylor]: Taking taylor expansion of 0 in im 0.433 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.433 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.433 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.433 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.433 * [taylor]: Taking taylor expansion of re in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.433 * [taylor]: Taking taylor expansion of re in im 0.433 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.433 * [taylor]: Taking taylor expansion of im in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.433 * [taylor]: Taking taylor expansion of im in im 0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.436 * [taylor]: Taking taylor expansion of re in im 0.436 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.436 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.436 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.436 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.436 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.437 * [taylor]: Taking taylor expansion of re in re 0.437 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.437 * [taylor]: Taking taylor expansion of im in re 0.437 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.437 * [taylor]: Taking taylor expansion of im in re 0.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.440 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.440 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.440 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.440 * [taylor]: Taking taylor expansion of re in re 0.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.441 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.444 * [taylor]: Taking taylor expansion of re in re 0.444 * [taylor]: Taking taylor expansion of 0 in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.449 * [taylor]: Taking taylor expansion of 1/2 in im 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.449 * [taylor]: Taking taylor expansion of im in im 0.454 * [taylor]: Taking taylor expansion of 0 in im 0.456 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.456 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.456 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.456 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of re in im 0.456 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.456 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.456 * [taylor]: Taking taylor expansion of -1 in im 0.456 * [taylor]: Taking taylor expansion of im in im 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.459 * [taylor]: Taking taylor expansion of re in re 0.460 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.460 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.460 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.460 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.460 * [taylor]: Taking taylor expansion of im in re 0.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.460 * [taylor]: Taking taylor expansion of -1 in re 0.461 * [taylor]: Taking taylor expansion of im in re 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.467 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.467 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.467 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.467 * [taylor]: Taking taylor expansion of -1 in re 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.467 * [taylor]: Taking taylor expansion of -1 in re 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.467 * [taylor]: Taking taylor expansion of -1 in re 0.467 * [taylor]: Taking taylor expansion of im in re 0.467 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.467 * [taylor]: Taking taylor expansion of -1 in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.470 * [taylor]: Taking taylor expansion of 2 in im 0.471 * [taylor]: Taking taylor expansion of 0 in im 0.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.474 * [taylor]: Taking taylor expansion of 1/2 in im 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.479 * [taylor]: Taking taylor expansion of 0 in im 0.481 * * * [progress]: simplifying candidates 0.482 * [simplify]: Simplifying using # : (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 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (/ (exp (* 1 (hypot re im))) (exp re)) (log (- (* 1 (hypot re im)) re)) (exp (- (* 1 (hypot re im)) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (* (* (- (* 1 (hypot re im)) re) (- (* 1 (hypot re im)) re)) (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re))) (- re) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (+ (* 1 (hypot re im)) re) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.485 * * [simplify]: iteration 0 : 117 enodes (cost 109 ) 0.487 * * [simplify]: iteration 1 : 346 enodes (cost 79 ) 0.495 * * [simplify]: iteration 2 : 1545 enodes (cost 76 ) 0.526 * * [simplify]: iteration 3 : 5002 enodes (cost 72 ) 0.527 * [simplify]: Simplified to: (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (exp (- (hypot re im) re)) (log (- (* 1 (hypot re im)) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (fma 1 (hypot re im) re) (* re re)) (- re) (* (+ (hypot re im) re) (- (hypot re im) re)) (fma 1 (hypot re im) re) (- (hypot re im) re) (- re) (- im re) 0 (* -2 re) 0.527 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 3 / 4 0.579 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.597 * * * [progress]: generating rewritten candidates 0.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.601 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 0.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.605 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.608 * * * [progress]: generating series expansions 0.608 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.609 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.609 * [taylor]: Taking taylor expansion of re in im 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.609 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.609 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.610 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.610 * [taylor]: Taking taylor expansion of re in re 0.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [taylor]: Taking taylor expansion of 0 in im 0.612 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.612 * [taylor]: Taking taylor expansion of 1/2 in im 0.612 * [taylor]: Taking taylor expansion of im in im 0.614 * [taylor]: Taking taylor expansion of 0 in im 0.615 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.616 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.616 * [taylor]: Taking taylor expansion of re in im 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.621 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of 1 in im 0.623 * [taylor]: Taking taylor expansion of 0 in im 0.625 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.625 * [taylor]: Taking taylor expansion of 1/2 in im 0.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.628 * [taylor]: Taking taylor expansion of 0 in im 0.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.630 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.630 * [taylor]: Taking taylor expansion of re in im 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.635 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of 1 in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of 1/2 in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.647 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.651 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.651 * [taylor]: Taking taylor expansion of 1/2 in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.653 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.653 * [taylor]: Taking taylor expansion of im in im 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.654 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.654 * [taylor]: Taking taylor expansion of re in im 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of 1 in im 0.661 * [taylor]: Taking taylor expansion of 0 in im 0.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.663 * [taylor]: Taking taylor expansion of 1/2 in im 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.667 * [taylor]: Taking taylor expansion of 0 in im 0.668 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 (/ 1 (pow re 2)) in im 0.669 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.671 * [taylor]: Taking taylor expansion of im in re 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.671 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.671 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of 1 in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.678 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.678 * [taylor]: Taking taylor expansion of 1/2 in im 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.678 * [taylor]: Taking taylor expansion of im in im 0.681 * [taylor]: Taking taylor expansion of 0 in im 0.682 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.683 * [approximate]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in (re im) around 0 0.683 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in im 0.683 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.683 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 0.683 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 0.683 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 0.683 * [taylor]: Taking taylor expansion of 1/4 in im 0.683 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.683 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.683 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.683 * [taylor]: Taking taylor expansion of re in im 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.683 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 0.684 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 0.684 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 0.684 * [taylor]: Taking taylor expansion of 1/4 in im 0.684 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (* -1 re) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of re in im 0.684 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 0.684 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.684 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 0.684 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.684 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.684 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.684 * [taylor]: Taking taylor expansion of 1/4 in re 0.684 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.684 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.685 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.685 * [taylor]: Taking taylor expansion of 1/4 in re 0.685 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.685 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [taylor]: Taking taylor expansion of (* -1 re) in re 0.685 * [taylor]: Taking taylor expansion of -1 in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 0.685 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 0.685 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 0.685 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.685 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.685 * [taylor]: Taking taylor expansion of 1/4 in re 0.685 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.686 * [taylor]: Taking taylor expansion of im in re 0.686 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 0.686 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 0.686 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 0.686 * [taylor]: Taking taylor expansion of 1/4 in re 0.686 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.686 * [taylor]: Taking taylor expansion of re in re 0.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.686 * [taylor]: Taking taylor expansion of im 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 im in im 0.692 * [taylor]: Taking taylor expansion of -1 in im 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.700 * [taylor]: Taking taylor expansion of 1/2 in im 0.700 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.700 * [taylor]: Taking taylor expansion of im in im 0.712 * [taylor]: Taking taylor expansion of 0 in im 0.714 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in (re im) around 0 0.714 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in im 0.714 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.714 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 0.714 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.714 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.714 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.714 * [taylor]: Taking taylor expansion of 1/4 in im 0.714 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.715 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.715 * [taylor]: Taking taylor expansion of re in im 0.716 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.716 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.716 * [taylor]: Taking taylor expansion of 1/4 in im 0.716 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.717 * [taylor]: Taking taylor expansion of -1 in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.717 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 0.718 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.718 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.718 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.718 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.718 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.718 * [taylor]: Taking taylor expansion of 1/4 in re 0.718 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.718 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.718 * [taylor]: Taking taylor expansion of im in re 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.718 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.718 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.719 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.719 * [taylor]: Taking taylor expansion of 1/4 in re 0.719 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.719 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.721 * [taylor]: Taking taylor expansion of -1 in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 0.721 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 0.721 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.721 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.721 * [taylor]: Taking taylor expansion of 1/4 in re 0.721 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.723 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.723 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.723 * [taylor]: Taking taylor expansion of 1/4 in re 0.723 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.725 * [taylor]: Taking taylor expansion of -1 in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [taylor]: Taking taylor expansion of -1 in im 0.726 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.736 * [taylor]: Taking taylor expansion of 0 in im 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.745 * [taylor]: Taking taylor expansion of 1/2 in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of re in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.748 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in (re im) around 0 0.748 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in im 0.748 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.748 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 0.748 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.748 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.748 * [taylor]: Taking taylor expansion of 1/4 in im 0.748 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.749 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.749 * [taylor]: Taking taylor expansion of re in im 0.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.750 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.750 * [taylor]: Taking taylor expansion of 1/4 in im 0.750 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.751 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 0.752 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.752 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.752 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.752 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.752 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.752 * [taylor]: Taking taylor expansion of 1/4 in re 0.752 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.754 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.754 * [taylor]: Taking taylor expansion of 1/4 in re 0.754 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.754 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.754 * [taylor]: Taking taylor expansion of im in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.754 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 0.756 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 0.756 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 0.756 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.756 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.756 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.756 * [taylor]: Taking taylor expansion of 1/4 in re 0.756 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.757 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.757 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.757 * [taylor]: Taking taylor expansion of 1/4 in re 0.757 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.757 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.757 * [taylor]: Taking taylor expansion of im in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of 1 in im 0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.760 * [taylor]: Taking taylor expansion of re in im 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 0.775 * [taylor]: Taking taylor expansion of 1/2 in im 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 0.775 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 0.775 * [taylor]: Taking taylor expansion of re in im 0.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.775 * [taylor]: Taking taylor expansion of im in im 0.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) 0.778 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of 0 in im 0.780 * [taylor]: Taking taylor expansion of 1 in im 0.781 * [taylor]: Taking taylor expansion of 0 in im 0.783 * [taylor]: Taking taylor expansion of 0 in im 0.783 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.786 * [taylor]: Taking taylor expansion of 1 in im 0.787 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.790 * [taylor]: Taking taylor expansion of 0 in im 0.793 * [taylor]: Taking taylor expansion of 0 in im 0.795 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.795 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.795 * [taylor]: Taking taylor expansion of re in im 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.796 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.796 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.796 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.796 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.797 * [taylor]: Taking taylor expansion of 1 in im 0.798 * [taylor]: Taking taylor expansion of 0 in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.801 * [taylor]: Taking taylor expansion of 0 in im 0.804 * [taylor]: Taking taylor expansion of 0 in im 0.805 * * * [progress]: simplifying candidates 0.806 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (exp (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (* (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 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 (* -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)) 0.810 * * [simplify]: iteration 0 : 157 enodes (cost 440 ) 0.814 * * [simplify]: iteration 1 : 648 enodes (cost 380 ) 0.823 * * [simplify]: iteration 2 : 2168 enodes (cost 374 ) 0.869 * * [simplify]: iteration 3 : 5002 enodes (cost 371 ) 0.872 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (hypot re im) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -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 im (pow im 5) (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 (* -1 re) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.872 * * * [progress]: adding candidates to table 1.132 * * [progress]: iteration 4 / 4 1.133 * * * [progress]: picking best candidate 1.138 * * * * [pick]: Picked # 1.138 * * * [progress]: localizing error 1.157 * * * [progress]: generating rewritten candidates 1.157 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2 1) 1.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1) 1.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 1.167 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1) 1.172 * * * [progress]: generating series expansions 1.172 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2 1) 1.173 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.173 * [taylor]: Taking taylor expansion of re in im 1.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.174 * [taylor]: Taking taylor expansion of im in re 1.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.174 * [taylor]: Taking taylor expansion of re in re 1.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.174 * [taylor]: Taking taylor expansion of im in re 1.175 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of 0 in im 1.176 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.176 * [taylor]: Taking taylor expansion of 1/2 in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.182 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.182 * [taylor]: Taking taylor expansion of im in im 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.183 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.183 * [taylor]: Taking taylor expansion of re in im 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.185 * [taylor]: Taking taylor expansion of im in re 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.185 * [taylor]: Taking taylor expansion of re in re 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.188 * [taylor]: Taking taylor expansion of im in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.188 * [taylor]: Taking taylor expansion of re in re 1.190 * [taylor]: Taking taylor expansion of 1 in im 1.191 * [taylor]: Taking taylor expansion of 0 in im 1.193 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.193 * [taylor]: Taking taylor expansion of 1/2 in im 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.193 * [taylor]: Taking taylor expansion of im in im 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.198 * [taylor]: Taking taylor expansion of re in im 1.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.200 * [taylor]: Taking taylor expansion of im in re 1.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.200 * [taylor]: Taking taylor expansion of re in re 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.203 * [taylor]: Taking taylor expansion of im in re 1.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.203 * [taylor]: Taking taylor expansion of re in re 1.205 * [taylor]: Taking taylor expansion of 1 in im 1.205 * [taylor]: Taking taylor expansion of 0 in im 1.207 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.207 * [taylor]: Taking taylor expansion of 1/2 in im 1.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.207 * [taylor]: Taking taylor expansion of im in im 1.211 * [taylor]: Taking taylor expansion of 0 in im 1.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1) 1.212 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.213 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.213 * [taylor]: Taking taylor expansion of re in re 1.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.213 * [taylor]: Taking taylor expansion of im in re 1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.214 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.214 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.214 * [taylor]: Taking taylor expansion of re in re 1.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.214 * [taylor]: Taking taylor expansion of im in re 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of 0 in im 1.215 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.216 * [taylor]: Taking taylor expansion of 1/2 in im 1.216 * [taylor]: Taking taylor expansion of im in im 1.217 * [taylor]: Taking taylor expansion of 0 in im 1.218 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.218 * [taylor]: Taking taylor expansion of im in im 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.219 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.219 * [taylor]: Taking taylor expansion of re in im 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.221 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.224 * [taylor]: Taking taylor expansion of im in re 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.224 * [taylor]: Taking taylor expansion of re in re 1.226 * [taylor]: Taking taylor expansion of 1 in im 1.226 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.228 * [taylor]: Taking taylor expansion of 1/2 in im 1.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.229 * [taylor]: Taking taylor expansion of im in im 1.232 * [taylor]: Taking taylor expansion of 0 in im 1.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.234 * [taylor]: Taking taylor expansion of re in im 1.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.236 * [taylor]: Taking taylor expansion of im in re 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.236 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.236 * [taylor]: Taking taylor expansion of re in re 1.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.238 * [taylor]: Taking taylor expansion of im in re 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of 1 in im 1.241 * [taylor]: Taking taylor expansion of 0 in im 1.243 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.243 * [taylor]: Taking taylor expansion of 1/2 in im 1.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.243 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of 0 in im 1.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 1.248 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.248 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.248 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.248 * [taylor]: Taking taylor expansion of re in re 1.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.248 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.249 * [taylor]: Taking taylor expansion of re in re 1.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.249 * [taylor]: Taking taylor expansion of im in re 1.249 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of 0 in im 1.251 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.251 * [taylor]: Taking taylor expansion of 1/2 in im 1.251 * [taylor]: Taking taylor expansion of im in im 1.253 * [taylor]: Taking taylor expansion of 0 in im 1.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.254 * [taylor]: Taking taylor expansion of re in im 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.256 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.259 * [taylor]: Taking taylor expansion of im in re 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of 1 in im 1.262 * [taylor]: Taking taylor expansion of 0 in im 1.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.264 * [taylor]: Taking taylor expansion of 1/2 in im 1.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.264 * [taylor]: Taking taylor expansion of im in im 1.272 * [taylor]: Taking taylor expansion of 0 in im 1.273 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.276 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.279 * [taylor]: Taking taylor expansion of im in re 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.281 * [taylor]: Taking taylor expansion of 1 in im 1.281 * [taylor]: Taking taylor expansion of 0 in im 1.283 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.283 * [taylor]: Taking taylor expansion of 1/2 in im 1.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.287 * [taylor]: Taking taylor expansion of 0 in im 1.288 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1) 1.288 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.288 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.288 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.288 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.289 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.289 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.290 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of 0 in im 1.291 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.291 * [taylor]: Taking taylor expansion of 1/2 in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.293 * [taylor]: Taking taylor expansion of 0 in im 1.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.295 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.295 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.297 * [taylor]: Taking taylor expansion of im in re 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.297 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.299 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of 1 in im 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.304 * [taylor]: Taking taylor expansion of 1/2 in im 1.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.307 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.309 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.311 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.317 * [taylor]: Taking taylor expansion of 1 in im 1.317 * [taylor]: Taking taylor expansion of 0 in im 1.319 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.319 * [taylor]: Taking taylor expansion of 1/2 in im 1.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.319 * [taylor]: Taking taylor expansion of im in im 1.322 * [taylor]: Taking taylor expansion of 0 in im 1.323 * * * [progress]: simplifying candidates 1.324 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.328 * * [simplify]: iteration 0 : 98 enodes (cost 412 ) 1.330 * * [simplify]: iteration 1 : 254 enodes (cost 392 ) 1.335 * * [simplify]: iteration 2 : 619 enodes (cost 392 ) 1.345 * * [simplify]: iteration 3 : 1573 enodes (cost 392 ) 1.377 * * [simplify]: iteration 4 : 5001 enodes (cost 392 ) 1.379 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 1.380 * * * [progress]: adding candidates to table 1.801 * [progress]: [Phase 3 of 3] Extracting. 1.801 * * [regime]: Finding splitpoints for: (# # #) 1.803 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 1.804 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.827 * * * * [regimes]: Trying to branch on im from (# # #) 1.855 * * * * [regimes]: Trying to branch on re from (# # #) 1.878 * * * [regime]: Found split indices: #