13.081 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.029 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.030 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.032 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.048 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.056 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.063 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.073 * [taylor]: Taking taylor expansion of 1/2 in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.081 * [taylor]: Taking taylor expansion of im in re 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.081 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.102 * [taylor]: Taking taylor expansion of 1 in im 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.107 * [taylor]: Taking taylor expansion of 0 in im 0.108 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.108 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.108 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.108 * [taylor]: Taking taylor expansion of 2.0 in im 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.109 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.110 * [taylor]: Taking taylor expansion of 2.0 in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.110 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.111 * [taylor]: Taking taylor expansion of 2.0 in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.112 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.113 * [taylor]: Taking taylor expansion of 2.0 in im 0.114 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.116 * [taylor]: Taking taylor expansion of 1/2 in im 0.116 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.116 * [taylor]: Taking taylor expansion of 2.0 in im 0.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.127 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.128 * [taylor]: Taking taylor expansion of 1/8 in im 0.128 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.128 * [taylor]: Taking taylor expansion of 2.0 in im 0.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.128 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.143 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.144 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.144 * [taylor]: Taking taylor expansion of 2.0 in im 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.148 * [taylor]: Taking taylor expansion of 2.0 in re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 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 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.153 * [taylor]: Taking taylor expansion of 2.0 in re 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.159 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.159 * [taylor]: Taking taylor expansion of +nan.0 in im 0.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.159 * [taylor]: Taking taylor expansion of 2.0 in im 0.164 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.164 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.164 * [taylor]: Taking taylor expansion of +nan.0 in im 0.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.164 * [taylor]: Taking taylor expansion of 2.0 in im 0.179 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.179 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.179 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.179 * [taylor]: Taking taylor expansion of +nan.0 in im 0.179 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.179 * [taylor]: Taking taylor expansion of 2.0 in im 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.181 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.181 * [taylor]: Taking taylor expansion of +nan.0 in im 0.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.181 * [taylor]: Taking taylor expansion of 2.0 in im 0.191 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.191 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.191 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.191 * [taylor]: Taking taylor expansion of +nan.0 in im 0.191 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.191 * [taylor]: Taking taylor expansion of 2.0 in im 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.193 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.193 * [taylor]: Taking taylor expansion of +nan.0 in im 0.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.193 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.206 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.209 * [taylor]: Taking taylor expansion of re in im 0.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.210 * [taylor]: Taking taylor expansion of 2.0 in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.211 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.219 * [taylor]: Taking taylor expansion of 2.0 in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.219 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.228 * [taylor]: Taking taylor expansion of +nan.0 in im 0.228 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.236 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.236 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.236 * [taylor]: Taking taylor expansion of +nan.0 in im 0.236 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.252 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.261 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.261 * [taylor]: Taking taylor expansion of +nan.0 in im 0.261 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.284 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.284 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.284 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.284 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.286 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of 1 in im 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.288 * [taylor]: Taking taylor expansion of 1/2 in im 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.290 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.294 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.300 * [taylor]: Taking taylor expansion of 2 in im 0.301 * [taylor]: Taking taylor expansion of 0 in im 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.303 * [taylor]: Taking taylor expansion of 1/2 in im 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.303 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.310 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.310 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.312 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.312 * [taylor]: Taking taylor expansion of im in re 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.312 * [taylor]: Taking taylor expansion of re in re 0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.315 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.318 * [taylor]: Taking taylor expansion of 0 in im 0.319 * [taylor]: Taking taylor expansion of 0 in im 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.322 * [taylor]: Taking taylor expansion of 1/2 in im 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.326 * [taylor]: Taking taylor expansion of 0 in im 0.328 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.328 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.328 * [taylor]: Taking taylor expansion of re in re 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.328 * [taylor]: Taking taylor expansion of im in re 0.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.328 * [taylor]: Taking taylor expansion of re in re 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.328 * [taylor]: Taking taylor expansion of im in re 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.329 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [taylor]: Taking taylor expansion of 1 in im 0.331 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.333 * [taylor]: Taking taylor expansion of im in im 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.334 * [taylor]: Taking taylor expansion of re in im 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [taylor]: Taking taylor expansion of 1 in im 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.351 * [taylor]: Taking taylor expansion of re in im 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of 1 in im 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.360 * * * [progress]: simplifying candidates 0.361 * [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 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (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) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.366 * * [simplify]: iteration 0 : 296 enodes (cost 446 ) 0.372 * * [simplify]: iteration 1 : 1086 enodes (cost 401 ) 0.389 * * [simplify]: iteration 2 : 3561 enodes (cost 382 ) 0.450 * * [simplify]: iteration 3 : 5001 enodes (cost 381 ) 0.452 * [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 (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (+ 0 (pow im 2)) (- (hypot re im) re) (+ re (hypot re im)) (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) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.452 * * * [progress]: adding candidates to table 0.665 * * [progress]: iteration 2 / 4 0.665 * * * [progress]: picking best candidate 0.676 * * * * [pick]: Picked # 0.676 * * * [progress]: localizing error 0.685 * * * [progress]: generating rewritten candidates 0.685 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.692 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.697 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 2) 0.698 * * * [progress]: generating series expansions 0.698 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.699 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.699 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.699 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.699 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.699 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.699 * [taylor]: Taking taylor expansion of (* re re) in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of re in im 0.699 * [taylor]: Taking taylor expansion of (* im im) in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.699 * [taylor]: Taking taylor expansion of im in im 0.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.701 * [taylor]: Taking taylor expansion of 2.0 in im 0.702 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.702 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.702 * [taylor]: Taking taylor expansion of (* re re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (* im im) in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of im in re 0.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.703 * [taylor]: Taking taylor expansion of 2.0 in re 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.704 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.704 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.704 * [taylor]: Taking taylor expansion of (* re re) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.704 * [taylor]: Taking taylor expansion of (* im im) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.706 * [taylor]: Taking taylor expansion of 2.0 in re 0.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.707 * [taylor]: Taking taylor expansion of 2.0 in im 0.707 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.709 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.709 * [taylor]: Taking taylor expansion of 1/2 in im 0.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.709 * [taylor]: Taking taylor expansion of 2.0 in im 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.710 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.722 * [taylor]: Taking taylor expansion of 1/8 in im 0.722 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.722 * [taylor]: Taking taylor expansion of 2.0 in im 0.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.723 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.738 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 0.738 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.743 * [taylor]: Taking taylor expansion of 2.0 in im 0.743 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.745 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.745 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.745 * [taylor]: Taking taylor expansion of im in re 0.754 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.754 * [taylor]: Taking taylor expansion of 2.0 in re 0.755 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 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 (hypot (/ 1 re) (/ 1 im)) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.755 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.760 * [taylor]: Taking taylor expansion of 2.0 in re 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.762 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.762 * [taylor]: Taking taylor expansion of +nan.0 in im 0.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.762 * [taylor]: Taking taylor expansion of 2.0 in im 0.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.768 * [taylor]: Taking taylor expansion of +nan.0 in im 0.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.768 * [taylor]: Taking taylor expansion of 2.0 in im 0.777 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.777 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.777 * [taylor]: Taking taylor expansion of +nan.0 in im 0.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.777 * [taylor]: Taking taylor expansion of 2.0 in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.779 * [taylor]: Taking taylor expansion of +nan.0 in im 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.779 * [taylor]: Taking taylor expansion of 2.0 in im 0.790 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.790 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.790 * [taylor]: Taking taylor expansion of +nan.0 in im 0.790 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.790 * [taylor]: Taking taylor expansion of 2.0 in im 0.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.792 * [taylor]: Taking taylor expansion of +nan.0 in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.805 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.805 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.805 * [taylor]: Taking taylor expansion of 2.0 in im 0.806 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.806 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.806 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.806 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.806 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.806 * [taylor]: Taking taylor expansion of -1 in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.806 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.806 * [taylor]: Taking taylor expansion of -1 in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.806 * [taylor]: Taking taylor expansion of -1 in im 0.806 * [taylor]: Taking taylor expansion of im in im 0.806 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.806 * [taylor]: Taking taylor expansion of -1 in im 0.806 * [taylor]: Taking taylor expansion of im in im 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.811 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.811 * [taylor]: Taking taylor expansion of 2.0 in re 0.811 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.811 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.812 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.812 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.812 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.812 * [taylor]: Taking taylor expansion of -1 in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.820 * [taylor]: Taking taylor expansion of 2.0 in re 0.821 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.821 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.821 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.821 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.822 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.822 * [taylor]: Taking taylor expansion of -1 in re 0.822 * [taylor]: Taking taylor expansion of im in re 0.825 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.825 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.832 * [taylor]: Taking taylor expansion of +nan.0 in im 0.832 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.832 * [taylor]: Taking taylor expansion of 2.0 in im 0.832 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.832 * [taylor]: Taking taylor expansion of im in im 0.846 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.846 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.846 * [taylor]: Taking taylor expansion of +nan.0 in im 0.846 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.846 * [taylor]: Taking taylor expansion of 2.0 in im 0.847 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.863 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.863 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.863 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.863 * [taylor]: Taking taylor expansion of +nan.0 in im 0.863 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.863 * [taylor]: Taking taylor expansion of 2.0 in im 0.864 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.864 * [taylor]: Taking taylor expansion of im in im 0.865 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.865 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.865 * [taylor]: Taking taylor expansion of +nan.0 in im 0.865 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.865 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.865 * [taylor]: Taking taylor expansion of 2.0 in im 0.866 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.888 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.888 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.888 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.888 * [taylor]: Taking taylor expansion of re in im 0.888 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.889 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.889 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.889 * [taylor]: Taking taylor expansion of (* re re) in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.889 * [taylor]: Taking taylor expansion of (* im im) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.890 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.890 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.890 * [taylor]: Taking taylor expansion of (* re re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [taylor]: Taking taylor expansion of (* im im) in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.890 * [taylor]: Taking taylor expansion of im in re 0.891 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.891 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.891 * [taylor]: Taking taylor expansion of (* re re) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [taylor]: Taking taylor expansion of (* im im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.893 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of 1 in im 0.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.894 * [taylor]: Taking taylor expansion of 1/2 in im 0.894 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.894 * [taylor]: Taking taylor expansion of im in im 0.897 * [taylor]: Taking taylor expansion of 0 in im 0.898 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.898 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.898 * [taylor]: Taking taylor expansion of re in im 0.898 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.899 * [taylor]: Taking taylor expansion of re in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.899 * [taylor]: Taking taylor expansion of re in im 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.902 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.902 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.902 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.902 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.906 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.906 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.909 * [taylor]: Taking taylor expansion of 2 in im 0.910 * [taylor]: Taking taylor expansion of 0 in im 0.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.913 * [taylor]: Taking taylor expansion of 1/2 in im 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.924 * [taylor]: Taking taylor expansion of 0 in im 0.926 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.926 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.926 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.927 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.927 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.927 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.927 * [taylor]: Taking taylor expansion of -1 in im 0.927 * [taylor]: Taking taylor expansion of re in im 0.927 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.927 * [taylor]: Taking taylor expansion of -1 in im 0.927 * [taylor]: Taking taylor expansion of re in im 0.927 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.927 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.927 * [taylor]: Taking taylor expansion of -1 in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.927 * [taylor]: Taking taylor expansion of -1 in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.930 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.930 * [taylor]: Taking taylor expansion of re in im 0.930 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.930 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.930 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.930 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.930 * [taylor]: Taking taylor expansion of -1 in re 0.930 * [taylor]: Taking taylor expansion of re in re 0.930 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.930 * [taylor]: Taking taylor expansion of -1 in re 0.930 * [taylor]: Taking taylor expansion of re in re 0.931 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.931 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.931 * [taylor]: Taking taylor expansion of -1 in re 0.931 * [taylor]: Taking taylor expansion of im in re 0.931 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.931 * [taylor]: Taking taylor expansion of -1 in re 0.931 * [taylor]: Taking taylor expansion of im in re 0.933 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.934 * [taylor]: Taking taylor expansion of re in re 0.934 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.934 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.934 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.934 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.934 * [taylor]: Taking taylor expansion of -1 in re 0.934 * [taylor]: Taking taylor expansion of re in re 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.934 * [taylor]: Taking taylor expansion of -1 in re 0.934 * [taylor]: Taking taylor expansion of re in re 0.935 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.935 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.935 * [taylor]: Taking taylor expansion of -1 in re 0.935 * [taylor]: Taking taylor expansion of im in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.938 * [taylor]: Taking taylor expansion of 0 in im 0.939 * [taylor]: Taking taylor expansion of 0 in im 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.942 * [taylor]: Taking taylor expansion of 1/2 in im 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.942 * [taylor]: Taking taylor expansion of im in im 0.947 * [taylor]: Taking taylor expansion of 0 in im 0.949 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 2) 0.949 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.949 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.949 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.949 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.949 * [taylor]: Taking taylor expansion of (* re re) in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of re in im 0.949 * [taylor]: Taking taylor expansion of (* im im) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.950 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.950 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.950 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.950 * [taylor]: Taking taylor expansion of (* re re) in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of re in re 0.950 * [taylor]: Taking taylor expansion of (* im im) in re 0.950 * [taylor]: Taking taylor expansion of im in re 0.950 * [taylor]: Taking taylor expansion of im in re 0.951 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.951 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.951 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.951 * [taylor]: Taking taylor expansion of (* re re) in re 0.951 * [taylor]: Taking taylor expansion of re in re 0.952 * [taylor]: Taking taylor expansion of re in re 0.952 * [taylor]: Taking taylor expansion of (* im im) in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.952 * [taylor]: Taking taylor expansion of im in re 0.953 * [taylor]: Taking taylor expansion of im in im 0.953 * [taylor]: Taking taylor expansion of 0 in im 0.954 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.954 * [taylor]: Taking taylor expansion of 1/2 in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.956 * [taylor]: Taking taylor expansion of 0 in im 0.957 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.957 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.957 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.957 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.957 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.957 * [taylor]: Taking taylor expansion of re in im 0.957 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.957 * [taylor]: Taking taylor expansion of re in im 0.957 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.957 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.957 * [taylor]: Taking taylor expansion of im in im 0.957 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.957 * [taylor]: Taking taylor expansion of im in im 0.960 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.960 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.960 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.960 * [taylor]: Taking taylor expansion of re in re 0.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.961 * [taylor]: Taking taylor expansion of re in re 0.961 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.961 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.961 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.961 * [taylor]: Taking taylor expansion of im in re 0.963 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.963 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.964 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.964 * [taylor]: Taking taylor expansion of re in re 0.964 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.964 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.964 * [taylor]: Taking taylor expansion of im in re 0.967 * [taylor]: Taking taylor expansion of 1 in im 0.967 * [taylor]: Taking taylor expansion of 0 in im 0.969 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.969 * [taylor]: Taking taylor expansion of 1/2 in im 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.969 * [taylor]: Taking taylor expansion of im in im 0.973 * [taylor]: Taking taylor expansion of 0 in im 0.974 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.974 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.974 * [taylor]: Taking taylor expansion of -1 in im 0.974 * [taylor]: Taking taylor expansion of re in im 0.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.974 * [taylor]: Taking taylor expansion of -1 in im 0.974 * [taylor]: Taking taylor expansion of re in im 0.974 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.974 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.974 * [taylor]: Taking taylor expansion of -1 in im 0.974 * [taylor]: Taking taylor expansion of im in im 0.975 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.975 * [taylor]: Taking taylor expansion of -1 in im 0.975 * [taylor]: Taking taylor expansion of im in im 0.977 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of re in re 0.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.978 * [taylor]: Taking taylor expansion of -1 in re 0.978 * [taylor]: Taking taylor expansion of im in re 0.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.981 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.981 * [taylor]: Taking taylor expansion of -1 in re 0.981 * [taylor]: Taking taylor expansion of re in re 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.981 * [taylor]: Taking taylor expansion of -1 in re 0.981 * [taylor]: Taking taylor expansion of re in re 0.982 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.982 * [taylor]: Taking taylor expansion of -1 in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.982 * [taylor]: Taking taylor expansion of -1 in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.985 * [taylor]: Taking taylor expansion of 1 in im 0.985 * [taylor]: Taking taylor expansion of 0 in im 0.987 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.987 * [taylor]: Taking taylor expansion of 1/2 in im 0.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.991 * [taylor]: Taking taylor expansion of 0 in im 0.992 * * * [progress]: simplifying candidates 0.993 * [simplify]: Simplifying using # : (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 im re (* -1 re) 0.997 * * [simplify]: iteration 0 : 218 enodes (cost 274 ) 1.001 * * [simplify]: iteration 1 : 658 enodes (cost 245 ) 1.014 * * [simplify]: iteration 2 : 2414 enodes (cost 237 ) 1.062 * * [simplify]: iteration 3 : 5001 enodes (cost 233 ) 1.064 * [simplify]: Simplified to: (expm1 (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (log (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (pow (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* 2.0 (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 im re (* -1 re) 1.064 * * * [progress]: adding candidates to table 1.207 * * [progress]: iteration 3 / 4 1.207 * * * [progress]: picking best candidate 1.229 * * * * [pick]: Picked # 1.230 * * * [progress]: localizing error 1.240 * * * [progress]: generating rewritten candidates 1.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.254 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.259 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 1.266 * * * [progress]: generating series expansions 1.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.267 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 1.268 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 1.268 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.268 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.268 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.268 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.268 * [taylor]: Taking taylor expansion of (* re re) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [taylor]: Taking taylor expansion of (* im im) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.269 * [taylor]: Taking taylor expansion of 2.0 in im 1.270 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.270 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.270 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.270 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.270 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.270 * [taylor]: Taking taylor expansion of (* re re) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [taylor]: Taking taylor expansion of (* im im) in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.272 * [taylor]: Taking taylor expansion of 2.0 in re 1.272 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.273 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.273 * [taylor]: Taking taylor expansion of (* re re) in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of re in re 1.273 * [taylor]: Taking taylor expansion of (* im im) in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.273 * [taylor]: Taking taylor expansion of im in re 1.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.274 * [taylor]: Taking taylor expansion of 2.0 in re 1.275 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.275 * [taylor]: Taking taylor expansion of 2.0 in im 1.276 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.276 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.278 * [taylor]: Taking taylor expansion of 1/2 in im 1.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.278 * [taylor]: Taking taylor expansion of 2.0 in im 1.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.289 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.290 * [taylor]: Taking taylor expansion of 1/8 in im 1.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.290 * [taylor]: Taking taylor expansion of 2.0 in im 1.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.290 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.290 * [taylor]: Taking taylor expansion of im in im 1.306 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 1.306 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.306 * [taylor]: Taking taylor expansion of re in im 1.306 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.306 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.306 * [taylor]: Taking taylor expansion of re in im 1.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.306 * [taylor]: Taking taylor expansion of re in im 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.306 * [taylor]: Taking taylor expansion of im in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.311 * [taylor]: Taking taylor expansion of 2.0 in im 1.311 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.311 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.311 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.312 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.317 * [taylor]: Taking taylor expansion of 2.0 in re 1.317 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 1.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.317 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.322 * [taylor]: Taking taylor expansion of 2.0 in re 1.323 * [taylor]: Taking taylor expansion of 0 in im 1.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.324 * [taylor]: Taking taylor expansion of +nan.0 in im 1.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.324 * [taylor]: Taking taylor expansion of 2.0 in im 1.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.330 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.330 * [taylor]: Taking taylor expansion of +nan.0 in im 1.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.330 * [taylor]: Taking taylor expansion of 2.0 in im 1.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.349 * [taylor]: Taking taylor expansion of +nan.0 in im 1.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.349 * [taylor]: Taking taylor expansion of 2.0 in im 1.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.350 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.350 * [taylor]: Taking taylor expansion of +nan.0 in im 1.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.350 * [taylor]: Taking taylor expansion of 2.0 in im 1.362 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.362 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.362 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.362 * [taylor]: Taking taylor expansion of +nan.0 in im 1.362 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.362 * [taylor]: Taking taylor expansion of 2.0 in im 1.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.364 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.364 * [taylor]: Taking taylor expansion of +nan.0 in im 1.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.364 * [taylor]: Taking taylor expansion of 2.0 in im 1.377 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 1.377 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.377 * [taylor]: Taking taylor expansion of 2.0 in im 1.378 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.378 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.378 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.378 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.378 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.378 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.378 * [taylor]: Taking taylor expansion of -1 in im 1.378 * [taylor]: Taking taylor expansion of re in im 1.378 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.378 * [taylor]: Taking taylor expansion of -1 in im 1.378 * [taylor]: Taking taylor expansion of re in im 1.378 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.378 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.378 * [taylor]: Taking taylor expansion of -1 in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.379 * [taylor]: Taking taylor expansion of -1 in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.383 * [taylor]: Taking taylor expansion of 2.0 in re 1.384 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.384 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.384 * [taylor]: Taking taylor expansion of -1 in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.385 * [taylor]: Taking taylor expansion of -1 in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.393 * [taylor]: Taking taylor expansion of 2.0 in re 1.393 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.393 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.393 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.393 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.393 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.393 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.393 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.403 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.403 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.403 * [taylor]: Taking taylor expansion of +nan.0 in im 1.403 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.403 * [taylor]: Taking taylor expansion of 2.0 in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.412 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.412 * [taylor]: Taking taylor expansion of +nan.0 in im 1.412 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.412 * [taylor]: Taking taylor expansion of 2.0 in im 1.412 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.436 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.436 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.436 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.436 * [taylor]: Taking taylor expansion of +nan.0 in im 1.436 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.436 * [taylor]: Taking taylor expansion of 2.0 in im 1.437 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.438 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.438 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.438 * [taylor]: Taking taylor expansion of +nan.0 in im 1.438 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.438 * [taylor]: Taking taylor expansion of 2.0 in im 1.439 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.439 * [taylor]: Taking taylor expansion of im in im 1.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.461 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.461 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.461 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.461 * [taylor]: Taking taylor expansion of (* re re) in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of re in im 1.461 * [taylor]: Taking taylor expansion of (* im im) in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.461 * [taylor]: Taking taylor expansion of im in im 1.463 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.463 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.463 * [taylor]: Taking taylor expansion of (* re re) in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (* im im) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.464 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.464 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.464 * [taylor]: Taking taylor expansion of (* re re) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (* im im) in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [taylor]: Taking taylor expansion of 1 in im 1.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.467 * [taylor]: Taking taylor expansion of 1/2 in im 1.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.467 * [taylor]: Taking taylor expansion of im in im 1.470 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.471 * [taylor]: Taking taylor expansion of re in im 1.471 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.472 * [taylor]: Taking taylor expansion of re in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.472 * [taylor]: Taking taylor expansion of re in im 1.472 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.475 * [taylor]: Taking taylor expansion of re in re 1.475 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.475 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.475 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.475 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.475 * [taylor]: Taking taylor expansion of re in re 1.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.475 * [taylor]: Taking taylor expansion of re in re 1.476 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.476 * [taylor]: Taking taylor expansion of im in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.476 * [taylor]: Taking taylor expansion of im in re 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.478 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.482 * [taylor]: Taking taylor expansion of 2 in im 1.483 * [taylor]: Taking taylor expansion of 0 in im 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.486 * [taylor]: Taking taylor expansion of 1/2 in im 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.486 * [taylor]: Taking taylor expansion of im in im 1.490 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.492 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.492 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.492 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.492 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.492 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.493 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.493 * [taylor]: Taking taylor expansion of -1 in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.496 * [taylor]: Taking taylor expansion of re in im 1.496 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.496 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.496 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.496 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.496 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.496 * [taylor]: Taking taylor expansion of -1 in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.496 * [taylor]: Taking taylor expansion of -1 in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.497 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.497 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.497 * [taylor]: Taking taylor expansion of -1 in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.497 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.497 * [taylor]: Taking taylor expansion of -1 in re 1.497 * [taylor]: Taking taylor expansion of im in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.499 * [taylor]: Taking taylor expansion of re in re 1.500 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.500 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.500 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.500 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.500 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.500 * [taylor]: Taking taylor expansion of -1 in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.500 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.500 * [taylor]: Taking taylor expansion of -1 in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.500 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.500 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.500 * [taylor]: Taking taylor expansion of -1 in re 1.500 * [taylor]: Taking taylor expansion of im in re 1.501 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.501 * [taylor]: Taking taylor expansion of -1 in re 1.501 * [taylor]: Taking taylor expansion of im in re 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.504 * [taylor]: Taking taylor expansion of 0 in im 1.505 * [taylor]: Taking taylor expansion of 0 in im 1.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.508 * [taylor]: Taking taylor expansion of 1/2 in im 1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.520 * [taylor]: Taking taylor expansion of 0 in im 1.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.522 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 1.522 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.522 * [taylor]: Taking taylor expansion of re in im 1.522 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.523 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.523 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.523 * [taylor]: Taking taylor expansion of (* re re) in im 1.523 * [taylor]: Taking taylor expansion of re in im 1.523 * [taylor]: Taking taylor expansion of re in im 1.523 * [taylor]: Taking taylor expansion of (* im im) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.524 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.524 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.524 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.524 * [taylor]: Taking taylor expansion of (* re re) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [taylor]: Taking taylor expansion of (* im im) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.526 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 1.526 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.526 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.526 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.526 * [taylor]: Taking taylor expansion of (* re re) in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [taylor]: Taking taylor expansion of (* im im) in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.528 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.529 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 1.529 * [taylor]: Taking taylor expansion of 1/2 in im 1.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.529 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.529 * [taylor]: Taking taylor expansion of im in im 1.533 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 1.533 * [taylor]: Taking taylor expansion of 1/8 in im 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.533 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.533 * [taylor]: Taking taylor expansion of im in im 1.540 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.540 * [taylor]: Taking taylor expansion of re in im 1.540 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.540 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.540 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.540 * [taylor]: Taking taylor expansion of re in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.540 * [taylor]: Taking taylor expansion of re in im 1.540 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.540 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.544 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.544 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.544 * [taylor]: Taking taylor expansion of re in re 1.545 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.549 * [taylor]: Taking taylor expansion of re in re 1.549 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.550 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.550 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.550 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.550 * [taylor]: Taking taylor expansion of im in re 1.550 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.550 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of 0 in im 1.554 * [taylor]: Taking taylor expansion of +nan.0 in im 1.556 * [taylor]: Taking taylor expansion of +nan.0 in im 1.561 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.561 * [taylor]: Taking taylor expansion of +nan.0 in im 1.561 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.561 * [taylor]: Taking taylor expansion of 1/2 in im 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.561 * [taylor]: Taking taylor expansion of +nan.0 in im 1.567 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.567 * [taylor]: Taking taylor expansion of +nan.0 in im 1.567 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.567 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.567 * [taylor]: Taking taylor expansion of +nan.0 in im 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.568 * [taylor]: Taking taylor expansion of im in im 1.568 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.568 * [taylor]: Taking taylor expansion of +nan.0 in im 1.576 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 1.576 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.576 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.576 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.576 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.576 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.576 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.576 * [taylor]: Taking taylor expansion of -1 in im 1.576 * [taylor]: Taking taylor expansion of re in im 1.576 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.576 * [taylor]: Taking taylor expansion of -1 in im 1.576 * [taylor]: Taking taylor expansion of re in im 1.576 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.576 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.576 * [taylor]: Taking taylor expansion of -1 in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.576 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.576 * [taylor]: Taking taylor expansion of -1 in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.579 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.579 * [taylor]: Taking taylor expansion of re in im 1.581 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.581 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.581 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.581 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.581 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [taylor]: Taking taylor expansion of re in re 1.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [taylor]: Taking taylor expansion of re in re 1.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.582 * [taylor]: Taking taylor expansion of -1 in re 1.582 * [taylor]: Taking taylor expansion of im in re 1.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.582 * [taylor]: Taking taylor expansion of -1 in re 1.582 * [taylor]: Taking taylor expansion of im in re 1.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.590 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.590 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.590 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.590 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.590 * [taylor]: Taking taylor expansion of -1 in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.590 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.590 * [taylor]: Taking taylor expansion of -1 in re 1.590 * [taylor]: Taking taylor expansion of re in re 1.591 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.591 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.591 * [taylor]: Taking taylor expansion of -1 in re 1.591 * [taylor]: Taking taylor expansion of im in re 1.591 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.591 * [taylor]: Taking taylor expansion of -1 in re 1.591 * [taylor]: Taking taylor expansion of im in re 1.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.593 * [taylor]: Taking taylor expansion of re in re 1.599 * [taylor]: Taking taylor expansion of 0 in im 1.599 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.599 * [taylor]: Taking taylor expansion of +nan.0 in im 1.599 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.611 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.611 * [taylor]: Taking taylor expansion of +nan.0 in im 1.611 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.611 * [taylor]: Taking taylor expansion of im in im 1.621 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.621 * [taylor]: Taking taylor expansion of +nan.0 in im 1.621 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.621 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.621 * [taylor]: Taking taylor expansion of 1/8 in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.622 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.622 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.622 * [taylor]: Taking taylor expansion of +nan.0 in im 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.622 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 1.646 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.646 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.646 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.646 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.646 * [taylor]: Taking taylor expansion of (* re re) in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.646 * [taylor]: Taking taylor expansion of (* im im) in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.647 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.647 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.647 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.647 * [taylor]: Taking taylor expansion of (* re re) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [taylor]: Taking taylor expansion of (* im im) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.649 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.649 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.649 * [taylor]: Taking taylor expansion of (* re re) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (* im im) in re 1.649 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of im in re 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [taylor]: Taking taylor expansion of 0 in im 1.651 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.651 * [taylor]: Taking taylor expansion of 1/2 in im 1.651 * [taylor]: Taking taylor expansion of im in im 1.653 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.654 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.654 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.654 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.654 * [taylor]: Taking taylor expansion of re in im 1.654 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.654 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.657 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.657 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.657 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.658 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.658 * [taylor]: Taking taylor expansion of re in re 1.658 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.658 * [taylor]: Taking taylor expansion of im in re 1.658 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.658 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.661 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.661 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.664 * [taylor]: Taking taylor expansion of 1 in im 1.664 * [taylor]: Taking taylor expansion of 0 in im 1.666 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.666 * [taylor]: Taking taylor expansion of 1/2 in im 1.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.666 * [taylor]: Taking taylor expansion of im in im 1.670 * [taylor]: Taking taylor expansion of 0 in im 1.671 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.671 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.671 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.671 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.671 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.671 * [taylor]: Taking taylor expansion of -1 in im 1.671 * [taylor]: Taking taylor expansion of re in im 1.671 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.671 * [taylor]: Taking taylor expansion of -1 in im 1.671 * [taylor]: Taking taylor expansion of re in im 1.671 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.671 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.671 * [taylor]: Taking taylor expansion of -1 in im 1.672 * [taylor]: Taking taylor expansion of im in im 1.672 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.672 * [taylor]: Taking taylor expansion of -1 in im 1.672 * [taylor]: Taking taylor expansion of im in im 1.675 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.675 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.675 * [taylor]: Taking taylor expansion of re in re 1.675 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.675 * [taylor]: Taking taylor expansion of -1 in re 1.676 * [taylor]: Taking taylor expansion of im in re 1.676 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.676 * [taylor]: Taking taylor expansion of -1 in re 1.676 * [taylor]: Taking taylor expansion of im in re 1.679 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.679 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.679 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.679 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.679 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.679 * [taylor]: Taking taylor expansion of -1 in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.679 * [taylor]: Taking taylor expansion of -1 in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.679 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.679 * [taylor]: Taking taylor expansion of -1 in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.680 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.680 * [taylor]: Taking taylor expansion of -1 in re 1.680 * [taylor]: Taking taylor expansion of im in re 1.682 * [taylor]: Taking taylor expansion of 1 in im 1.682 * [taylor]: Taking taylor expansion of 0 in im 1.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.685 * [taylor]: Taking taylor expansion of 1/2 in im 1.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.685 * [taylor]: Taking taylor expansion of im in im 1.695 * [taylor]: Taking taylor expansion of 0 in im 1.696 * * * [progress]: simplifying candidates 1.697 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 1) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 im re (* -1 re) 1.702 * * [simplify]: iteration 0 : 322 enodes (cost 609 ) 1.708 * * [simplify]: iteration 1 : 1121 enodes (cost 566 ) 1.733 * * [simplify]: iteration 2 : 5001 enodes (cost 552 ) 1.735 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* 2.0 (fma (sqrt 1) (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2))) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma 1 (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (* (hypot re im) (hypot re im)) 1) (pow re 2)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (+ (* (sqrt 1) (hypot re im)) re)) 3) (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 1 (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ re im) (* 2 re) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (pow re 2))) 0 im re (* -1 re) 1.736 * * * [progress]: adding candidates to table 2.166 * * [progress]: iteration 4 / 4 2.166 * * * [progress]: picking best candidate 2.186 * * * * [pick]: Picked # 2.186 * * * [progress]: localizing error 2.200 * * * [progress]: generating rewritten candidates 2.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 2.232 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 2.240 * * * [progress]: generating series expansions 2.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.241 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 2.241 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 2.241 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 2.241 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.241 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.241 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.241 * [taylor]: Taking taylor expansion of (* re re) in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.241 * [taylor]: Taking taylor expansion of (* im im) in im 2.241 * [taylor]: Taking taylor expansion of im in im 2.242 * [taylor]: Taking taylor expansion of im in im 2.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.243 * [taylor]: Taking taylor expansion of 2.0 in im 2.245 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.245 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.245 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.245 * [taylor]: Taking taylor expansion of re in re 2.245 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.245 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.245 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.245 * [taylor]: Taking taylor expansion of (* re re) in re 2.245 * [taylor]: Taking taylor expansion of re in re 2.245 * [taylor]: Taking taylor expansion of re in re 2.245 * [taylor]: Taking taylor expansion of (* im im) in re 2.245 * [taylor]: Taking taylor expansion of im in re 2.245 * [taylor]: Taking taylor expansion of im in re 2.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.246 * [taylor]: Taking taylor expansion of 2.0 in re 2.249 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 2.249 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 2.249 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.249 * [taylor]: Taking taylor expansion of re in re 2.249 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.249 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.249 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.249 * [taylor]: Taking taylor expansion of (* re re) in re 2.249 * [taylor]: Taking taylor expansion of re in re 2.249 * [taylor]: Taking taylor expansion of re in re 2.249 * [taylor]: Taking taylor expansion of (* im im) in re 2.249 * [taylor]: Taking taylor expansion of im in re 2.249 * [taylor]: Taking taylor expansion of im in re 2.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.250 * [taylor]: Taking taylor expansion of 2.0 in re 2.253 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 2.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.253 * [taylor]: Taking taylor expansion of 2.0 in im 2.254 * [taylor]: Taking taylor expansion of im in im 2.257 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 2.257 * [taylor]: Taking taylor expansion of 1/2 in im 2.257 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 2.257 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.257 * [taylor]: Taking taylor expansion of 2.0 in im 2.257 * [taylor]: Taking taylor expansion of im in im 2.266 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 2.266 * [taylor]: Taking taylor expansion of 1/8 in im 2.266 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 2.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 2.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.266 * [taylor]: Taking taylor expansion of 2.0 in im 2.267 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.267 * [taylor]: Taking taylor expansion of im in im 2.282 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in (re im) around 0 2.282 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in im 2.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in im 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.282 * [taylor]: Taking taylor expansion of re in im 2.282 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.282 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.282 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.282 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.282 * [taylor]: Taking taylor expansion of re in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.282 * [taylor]: Taking taylor expansion of re in im 2.282 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.282 * [taylor]: Taking taylor expansion of im in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.283 * [taylor]: Taking taylor expansion of im in im 2.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.285 * [taylor]: Taking taylor expansion of 2.0 in im 2.288 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.288 * [taylor]: Taking taylor expansion of re in re 2.289 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.289 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.289 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.289 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.289 * [taylor]: Taking taylor expansion of re in re 2.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.289 * [taylor]: Taking taylor expansion of re in re 2.289 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.289 * [taylor]: Taking taylor expansion of im in re 2.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.289 * [taylor]: Taking taylor expansion of im in re 2.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.292 * [taylor]: Taking taylor expansion of 2.0 in re 2.299 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0))) in re 2.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) (sqrt 2.0)) in re 2.299 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.299 * [taylor]: Taking taylor expansion of re in re 2.299 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.299 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.299 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.299 * [taylor]: Taking taylor expansion of re in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.302 * [taylor]: Taking taylor expansion of 2.0 in re 2.305 * [taylor]: Taking taylor expansion of 0 in im 2.305 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.306 * [taylor]: Taking taylor expansion of +nan.0 in im 2.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.306 * [taylor]: Taking taylor expansion of 2.0 in im 2.310 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 2.310 * [taylor]: Taking taylor expansion of +nan.0 in im 2.310 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.310 * [taylor]: Taking taylor expansion of 2.0 in im 2.320 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 2.320 * [taylor]: Taking taylor expansion of +nan.0 in im 2.320 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 2.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 2.320 * [taylor]: Taking taylor expansion of 1/2 in im 2.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.320 * [taylor]: Taking taylor expansion of 2.0 in im 2.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.321 * [taylor]: Taking taylor expansion of im in im 2.322 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 2.322 * [taylor]: Taking taylor expansion of +nan.0 in im 2.322 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.322 * [taylor]: Taking taylor expansion of 2.0 in im 2.337 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 2.337 * [taylor]: Taking taylor expansion of +nan.0 in im 2.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 2.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 2.337 * [taylor]: Taking taylor expansion of +nan.0 in im 2.337 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 2.337 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.337 * [taylor]: Taking taylor expansion of 2.0 in im 2.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.338 * [taylor]: Taking taylor expansion of im in im 2.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 2.340 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 2.340 * [taylor]: Taking taylor expansion of +nan.0 in im 2.340 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 2.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.340 * [taylor]: Taking taylor expansion of 2.0 in im 2.364 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.364 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.364 * [taylor]: Taking taylor expansion of 2.0 in im 2.365 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.365 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.365 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.365 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.365 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.365 * [taylor]: Taking taylor expansion of -1 in im 2.365 * [taylor]: Taking taylor expansion of re in im 2.365 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.365 * [taylor]: Taking taylor expansion of -1 in im 2.365 * [taylor]: Taking taylor expansion of re in im 2.365 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.365 * [taylor]: Taking taylor expansion of -1 in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.365 * [taylor]: Taking taylor expansion of -1 in im 2.365 * [taylor]: Taking taylor expansion of im in im 2.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.368 * [taylor]: Taking taylor expansion of re in im 2.371 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.371 * [taylor]: Taking taylor expansion of 2.0 in re 2.371 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.371 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.371 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.372 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.372 * [taylor]: Taking taylor expansion of -1 in re 2.372 * [taylor]: Taking taylor expansion of re in re 2.372 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.372 * [taylor]: Taking taylor expansion of -1 in re 2.372 * [taylor]: Taking taylor expansion of re in re 2.372 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.372 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.372 * [taylor]: Taking taylor expansion of -1 in re 2.372 * [taylor]: Taking taylor expansion of im in re 2.372 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.372 * [taylor]: Taking taylor expansion of -1 in re 2.372 * [taylor]: Taking taylor expansion of im in re 2.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.375 * [taylor]: Taking taylor expansion of re in re 2.385 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.386 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.386 * [taylor]: Taking taylor expansion of 2.0 in re 2.386 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.386 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.386 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.386 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.386 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.386 * [taylor]: Taking taylor expansion of -1 in re 2.386 * [taylor]: Taking taylor expansion of re in re 2.387 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.387 * [taylor]: Taking taylor expansion of -1 in re 2.387 * [taylor]: Taking taylor expansion of re in re 2.387 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.387 * [taylor]: Taking taylor expansion of -1 in re 2.387 * [taylor]: Taking taylor expansion of im in re 2.387 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.387 * [taylor]: Taking taylor expansion of -1 in re 2.387 * [taylor]: Taking taylor expansion of im in re 2.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.390 * [taylor]: Taking taylor expansion of re in re 2.398 * [taylor]: Taking taylor expansion of 0 in im 2.398 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.398 * [taylor]: Taking taylor expansion of +nan.0 in im 2.398 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.398 * [taylor]: Taking taylor expansion of 2.0 in im 2.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.398 * [taylor]: Taking taylor expansion of im in im 2.406 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 2.406 * [taylor]: Taking taylor expansion of +nan.0 in im 2.406 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 2.406 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 2.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.406 * [taylor]: Taking taylor expansion of 2.0 in im 2.407 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.407 * [taylor]: Taking taylor expansion of im in im 2.427 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 2.427 * [taylor]: Taking taylor expansion of +nan.0 in im 2.427 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 2.427 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 2.427 * [taylor]: Taking taylor expansion of 1/8 in im 2.427 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.427 * [taylor]: Taking taylor expansion of 2.0 in im 2.428 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.428 * [taylor]: Taking taylor expansion of im in im 2.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 2.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 2.429 * [taylor]: Taking taylor expansion of +nan.0 in im 2.429 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 2.429 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 2.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.429 * [taylor]: Taking taylor expansion of 2.0 in im 2.429 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.429 * [taylor]: Taking taylor expansion of im in im 2.477 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.479 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 2.479 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 2.479 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.479 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.479 * [taylor]: Taking taylor expansion of re in im 2.479 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.479 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.479 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.479 * [taylor]: Taking taylor expansion of (* re re) in im 2.479 * [taylor]: Taking taylor expansion of re in im 2.479 * [taylor]: Taking taylor expansion of re in im 2.479 * [taylor]: Taking taylor expansion of (* im im) in im 2.479 * [taylor]: Taking taylor expansion of im in im 2.479 * [taylor]: Taking taylor expansion of im in im 2.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.481 * [taylor]: Taking taylor expansion of 2.0 in im 2.481 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.481 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.481 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.481 * [taylor]: Taking taylor expansion of re in re 2.482 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.482 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.482 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.482 * [taylor]: Taking taylor expansion of (* re re) in re 2.482 * [taylor]: Taking taylor expansion of re in re 2.482 * [taylor]: Taking taylor expansion of re in re 2.482 * [taylor]: Taking taylor expansion of (* im im) in re 2.482 * [taylor]: Taking taylor expansion of im in re 2.482 * [taylor]: Taking taylor expansion of im in re 2.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.483 * [taylor]: Taking taylor expansion of 2.0 in re 2.484 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 2.484 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.484 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.484 * [taylor]: Taking taylor expansion of re in re 2.484 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.484 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.484 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.484 * [taylor]: Taking taylor expansion of (* re re) in re 2.484 * [taylor]: Taking taylor expansion of re in re 2.484 * [taylor]: Taking taylor expansion of re in re 2.484 * [taylor]: Taking taylor expansion of (* im im) in re 2.484 * [taylor]: Taking taylor expansion of im in re 2.484 * [taylor]: Taking taylor expansion of im in re 2.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.486 * [taylor]: Taking taylor expansion of 2.0 in re 2.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.487 * [taylor]: Taking taylor expansion of 2.0 in im 2.487 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.487 * [taylor]: Taking taylor expansion of im in im 2.489 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.489 * [taylor]: Taking taylor expansion of 1/2 in im 2.489 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.489 * [taylor]: Taking taylor expansion of 2.0 in im 2.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.490 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.490 * [taylor]: Taking taylor expansion of im in im 2.501 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.501 * [taylor]: Taking taylor expansion of 1/8 in im 2.501 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.501 * [taylor]: Taking taylor expansion of 2.0 in im 2.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.502 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.502 * [taylor]: Taking taylor expansion of im in im 2.517 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in (re im) around 0 2.517 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in im 2.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.517 * [taylor]: Taking taylor expansion of re in im 2.517 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.518 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.518 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.518 * [taylor]: Taking taylor expansion of re in im 2.518 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.518 * [taylor]: Taking taylor expansion of re in im 2.518 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.518 * [taylor]: Taking taylor expansion of im in im 2.518 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.518 * [taylor]: Taking taylor expansion of im in im 2.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.522 * [taylor]: Taking taylor expansion of 2.0 in im 2.523 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.523 * [taylor]: Taking taylor expansion of re in re 2.523 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.523 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.523 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.523 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.523 * [taylor]: Taking taylor expansion of re in re 2.523 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.523 * [taylor]: Taking taylor expansion of re in re 2.524 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.524 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.524 * [taylor]: Taking taylor expansion of im in re 2.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.527 * [taylor]: Taking taylor expansion of 2.0 in re 2.528 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) in re 2.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.528 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.528 * [taylor]: Taking taylor expansion of re in re 2.528 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.528 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.528 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.528 * [taylor]: Taking taylor expansion of re in re 2.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.529 * [taylor]: Taking taylor expansion of re in re 2.529 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.529 * [taylor]: Taking taylor expansion of im in re 2.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.529 * [taylor]: Taking taylor expansion of im in re 2.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.533 * [taylor]: Taking taylor expansion of 2.0 in re 2.534 * [taylor]: Taking taylor expansion of 0 in im 2.535 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.535 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.535 * [taylor]: Taking taylor expansion of +nan.0 in im 2.535 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.535 * [taylor]: Taking taylor expansion of 2.0 in im 2.544 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.545 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.545 * [taylor]: Taking taylor expansion of +nan.0 in im 2.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.545 * [taylor]: Taking taylor expansion of 2.0 in im 2.553 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.553 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.554 * [taylor]: Taking taylor expansion of +nan.0 in im 2.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.554 * [taylor]: Taking taylor expansion of 2.0 in im 2.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.554 * [taylor]: Taking taylor expansion of im in im 2.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.555 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.555 * [taylor]: Taking taylor expansion of +nan.0 in im 2.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.555 * [taylor]: Taking taylor expansion of 2.0 in im 2.566 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 2.567 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 2.567 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.567 * [taylor]: Taking taylor expansion of +nan.0 in im 2.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.567 * [taylor]: Taking taylor expansion of 2.0 in im 2.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.567 * [taylor]: Taking taylor expansion of im in im 2.568 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.568 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.568 * [taylor]: Taking taylor expansion of +nan.0 in im 2.568 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.568 * [taylor]: Taking taylor expansion of 2.0 in im 2.582 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.582 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.582 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.582 * [taylor]: Taking taylor expansion of 2.0 in im 2.583 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.583 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.583 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.583 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.583 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.583 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.583 * [taylor]: Taking taylor expansion of -1 in im 2.583 * [taylor]: Taking taylor expansion of re in im 2.583 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.583 * [taylor]: Taking taylor expansion of -1 in im 2.583 * [taylor]: Taking taylor expansion of re in im 2.583 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.583 * [taylor]: Taking taylor expansion of -1 in im 2.583 * [taylor]: Taking taylor expansion of im in im 2.583 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.583 * [taylor]: Taking taylor expansion of -1 in im 2.583 * [taylor]: Taking taylor expansion of im in im 2.586 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.586 * [taylor]: Taking taylor expansion of re in im 2.588 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.588 * [taylor]: Taking taylor expansion of 2.0 in re 2.588 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.588 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.588 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.588 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.588 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.588 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.588 * [taylor]: Taking taylor expansion of -1 in re 2.588 * [taylor]: Taking taylor expansion of re in re 2.589 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.589 * [taylor]: Taking taylor expansion of -1 in re 2.589 * [taylor]: Taking taylor expansion of re in re 2.589 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.589 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.589 * [taylor]: Taking taylor expansion of -1 in re 2.589 * [taylor]: Taking taylor expansion of im in re 2.589 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.589 * [taylor]: Taking taylor expansion of -1 in re 2.589 * [taylor]: Taking taylor expansion of im in re 2.592 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.592 * [taylor]: Taking taylor expansion of re in re 2.597 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.597 * [taylor]: Taking taylor expansion of 2.0 in re 2.598 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.598 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.598 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.598 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.598 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.598 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.598 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.598 * [taylor]: Taking taylor expansion of -1 in re 2.598 * [taylor]: Taking taylor expansion of re in re 2.598 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.598 * [taylor]: Taking taylor expansion of -1 in re 2.598 * [taylor]: Taking taylor expansion of re in re 2.599 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.599 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.599 * [taylor]: Taking taylor expansion of -1 in re 2.599 * [taylor]: Taking taylor expansion of im in re 2.599 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.599 * [taylor]: Taking taylor expansion of -1 in re 2.599 * [taylor]: Taking taylor expansion of im in re 2.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.601 * [taylor]: Taking taylor expansion of re in re 2.607 * [taylor]: Taking taylor expansion of 0 in im 2.608 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.608 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.608 * [taylor]: Taking taylor expansion of +nan.0 in im 2.608 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.608 * [taylor]: Taking taylor expansion of 2.0 in im 2.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.609 * [taylor]: Taking taylor expansion of im in im 2.616 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.616 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.616 * [taylor]: Taking taylor expansion of +nan.0 in im 2.616 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.616 * [taylor]: Taking taylor expansion of 2.0 in im 2.617 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.617 * [taylor]: Taking taylor expansion of im in im 2.639 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.639 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.639 * [taylor]: Taking taylor expansion of +nan.0 in im 2.639 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.639 * [taylor]: Taking taylor expansion of 2.0 in im 2.639 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.639 * [taylor]: Taking taylor expansion of im in im 2.641 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.641 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.641 * [taylor]: Taking taylor expansion of +nan.0 in im 2.641 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.641 * [taylor]: Taking taylor expansion of 2.0 in im 2.642 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.642 * [taylor]: Taking taylor expansion of im in im 2.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.664 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.664 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.664 * [taylor]: Taking taylor expansion of re in im 2.664 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.664 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.664 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.664 * [taylor]: Taking taylor expansion of (* re re) in im 2.664 * [taylor]: Taking taylor expansion of re in im 2.664 * [taylor]: Taking taylor expansion of re in im 2.664 * [taylor]: Taking taylor expansion of (* im im) in im 2.664 * [taylor]: Taking taylor expansion of im in im 2.664 * [taylor]: Taking taylor expansion of im in im 2.665 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.665 * [taylor]: Taking taylor expansion of re in re 2.665 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.665 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.665 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.665 * [taylor]: Taking taylor expansion of (* re re) in re 2.665 * [taylor]: Taking taylor expansion of re in re 2.665 * [taylor]: Taking taylor expansion of re in re 2.665 * [taylor]: Taking taylor expansion of (* im im) in re 2.665 * [taylor]: Taking taylor expansion of im in re 2.665 * [taylor]: Taking taylor expansion of im in re 2.667 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.667 * [taylor]: Taking taylor expansion of re in re 2.667 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.667 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.667 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.667 * [taylor]: Taking taylor expansion of (* re re) in re 2.667 * [taylor]: Taking taylor expansion of re in re 2.667 * [taylor]: Taking taylor expansion of re in re 2.667 * [taylor]: Taking taylor expansion of (* im im) in re 2.667 * [taylor]: Taking taylor expansion of im in re 2.667 * [taylor]: Taking taylor expansion of im in re 2.668 * [taylor]: Taking taylor expansion of im in im 2.668 * [taylor]: Taking taylor expansion of 1 in im 2.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.670 * [taylor]: Taking taylor expansion of 1/2 in im 2.670 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.670 * [taylor]: Taking taylor expansion of im in im 2.672 * [taylor]: Taking taylor expansion of 0 in im 2.674 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.674 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.674 * [taylor]: Taking taylor expansion of re in im 2.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.674 * [taylor]: Taking taylor expansion of re in im 2.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.674 * [taylor]: Taking taylor expansion of re in im 2.674 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.674 * [taylor]: Taking taylor expansion of im in im 2.675 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.675 * [taylor]: Taking taylor expansion of im in im 2.677 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.677 * [taylor]: Taking taylor expansion of re in re 2.677 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.678 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.678 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.678 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.681 * [taylor]: Taking taylor expansion of re in re 2.681 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.681 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.681 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.681 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.681 * [taylor]: Taking taylor expansion of re in re 2.682 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.682 * [taylor]: Taking taylor expansion of re in re 2.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.682 * [taylor]: Taking taylor expansion of im in re 2.682 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.682 * [taylor]: Taking taylor expansion of im in re 2.685 * [taylor]: Taking taylor expansion of 2 in im 2.686 * [taylor]: Taking taylor expansion of 0 in im 2.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.689 * [taylor]: Taking taylor expansion of 1/2 in im 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.689 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.689 * [taylor]: Taking taylor expansion of im in im 2.694 * [taylor]: Taking taylor expansion of 0 in im 2.695 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.695 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.696 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.696 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.696 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.696 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.696 * [taylor]: Taking taylor expansion of -1 in im 2.696 * [taylor]: Taking taylor expansion of re in im 2.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.696 * [taylor]: Taking taylor expansion of -1 in im 2.696 * [taylor]: Taking taylor expansion of re in im 2.696 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.696 * [taylor]: Taking taylor expansion of -1 in im 2.696 * [taylor]: Taking taylor expansion of im in im 2.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.696 * [taylor]: Taking taylor expansion of -1 in im 2.696 * [taylor]: Taking taylor expansion of im in im 2.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.699 * [taylor]: Taking taylor expansion of re in im 2.699 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.699 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.699 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.699 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.699 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.699 * [taylor]: Taking taylor expansion of -1 in re 2.699 * [taylor]: Taking taylor expansion of re in re 2.699 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.700 * [taylor]: Taking taylor expansion of -1 in re 2.700 * [taylor]: Taking taylor expansion of re in re 2.700 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.700 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.700 * [taylor]: Taking taylor expansion of -1 in re 2.700 * [taylor]: Taking taylor expansion of im in re 2.700 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.700 * [taylor]: Taking taylor expansion of -1 in re 2.700 * [taylor]: Taking taylor expansion of im in re 2.702 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.702 * [taylor]: Taking taylor expansion of re in re 2.703 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.703 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.703 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.703 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.703 * [taylor]: Taking taylor expansion of -1 in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.703 * [taylor]: Taking taylor expansion of -1 in re 2.703 * [taylor]: Taking taylor expansion of re in re 2.704 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.704 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.704 * [taylor]: Taking taylor expansion of -1 in re 2.704 * [taylor]: Taking taylor expansion of im in re 2.704 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.704 * [taylor]: Taking taylor expansion of -1 in re 2.704 * [taylor]: Taking taylor expansion of im in re 2.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.712 * [taylor]: Taking taylor expansion of re in re 2.713 * [taylor]: Taking taylor expansion of 0 in im 2.714 * [taylor]: Taking taylor expansion of 0 in im 2.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.718 * [taylor]: Taking taylor expansion of 1/2 in im 2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.718 * [taylor]: Taking taylor expansion of im in im 2.722 * [taylor]: Taking taylor expansion of 0 in im 2.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 2.724 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 2.724 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 2.724 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.724 * [taylor]: Taking taylor expansion of re in im 2.724 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.725 * [taylor]: Taking taylor expansion of (* re re) in im 2.725 * [taylor]: Taking taylor expansion of re in im 2.725 * [taylor]: Taking taylor expansion of re in im 2.725 * [taylor]: Taking taylor expansion of (* im im) in im 2.725 * [taylor]: Taking taylor expansion of im in im 2.725 * [taylor]: Taking taylor expansion of im in im 2.726 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.726 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.726 * [taylor]: Taking taylor expansion of re in re 2.726 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.726 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.726 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.726 * [taylor]: Taking taylor expansion of (* re re) in re 2.726 * [taylor]: Taking taylor expansion of re in re 2.726 * [taylor]: Taking taylor expansion of re in re 2.726 * [taylor]: Taking taylor expansion of (* im im) in re 2.726 * [taylor]: Taking taylor expansion of im in re 2.726 * [taylor]: Taking taylor expansion of im in re 2.728 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 2.728 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.728 * [taylor]: Taking taylor expansion of re in re 2.728 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.728 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.728 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.728 * [taylor]: Taking taylor expansion of (* re re) in re 2.728 * [taylor]: Taking taylor expansion of re in re 2.728 * [taylor]: Taking taylor expansion of re in re 2.728 * [taylor]: Taking taylor expansion of (* im im) in re 2.728 * [taylor]: Taking taylor expansion of im in re 2.728 * [taylor]: Taking taylor expansion of im in re 2.729 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.729 * [taylor]: Taking taylor expansion of im in im 2.731 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.731 * [taylor]: Taking taylor expansion of 1/2 in im 2.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.731 * [taylor]: Taking taylor expansion of im in im 2.735 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.735 * [taylor]: Taking taylor expansion of 1/8 in im 2.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.735 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.735 * [taylor]: Taking taylor expansion of im in im 2.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 2.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.742 * [taylor]: Taking taylor expansion of re in im 2.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.742 * [taylor]: Taking taylor expansion of re in im 2.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.742 * [taylor]: Taking taylor expansion of re in im 2.742 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.742 * [taylor]: Taking taylor expansion of im in im 2.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.743 * [taylor]: Taking taylor expansion of im in im 2.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.747 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.747 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.748 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.748 * [taylor]: Taking taylor expansion of im in re 2.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.748 * [taylor]: Taking taylor expansion of im in re 2.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.752 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.752 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.752 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.752 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.752 * [taylor]: Taking taylor expansion of re in re 2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.752 * [taylor]: Taking taylor expansion of re in re 2.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.756 * [taylor]: Taking taylor expansion of 0 in im 2.756 * [taylor]: Taking taylor expansion of +nan.0 in im 2.759 * [taylor]: Taking taylor expansion of +nan.0 in im 2.763 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.763 * [taylor]: Taking taylor expansion of +nan.0 in im 2.763 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.763 * [taylor]: Taking taylor expansion of 1/2 in im 2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.763 * [taylor]: Taking taylor expansion of im in im 2.764 * [taylor]: Taking taylor expansion of +nan.0 in im 2.770 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.770 * [taylor]: Taking taylor expansion of +nan.0 in im 2.770 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.770 * [taylor]: Taking taylor expansion of +nan.0 in im 2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.770 * [taylor]: Taking taylor expansion of im in im 2.770 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.771 * [taylor]: Taking taylor expansion of +nan.0 in im 2.778 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.778 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.778 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.778 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.778 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.778 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.778 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.778 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.778 * [taylor]: Taking taylor expansion of -1 in im 2.778 * [taylor]: Taking taylor expansion of re in im 2.778 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.778 * [taylor]: Taking taylor expansion of -1 in im 2.778 * [taylor]: Taking taylor expansion of re in im 2.778 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.778 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.778 * [taylor]: Taking taylor expansion of -1 in im 2.778 * [taylor]: Taking taylor expansion of im in im 2.778 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.778 * [taylor]: Taking taylor expansion of -1 in im 2.778 * [taylor]: Taking taylor expansion of im in im 2.781 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.781 * [taylor]: Taking taylor expansion of re in im 2.782 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.782 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.782 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.783 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.783 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.783 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.783 * [taylor]: Taking taylor expansion of -1 in re 2.783 * [taylor]: Taking taylor expansion of re in re 2.783 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.783 * [taylor]: Taking taylor expansion of -1 in re 2.783 * [taylor]: Taking taylor expansion of re in re 2.783 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.783 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.783 * [taylor]: Taking taylor expansion of -1 in re 2.783 * [taylor]: Taking taylor expansion of im in re 2.783 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.783 * [taylor]: Taking taylor expansion of -1 in re 2.783 * [taylor]: Taking taylor expansion of im in re 2.786 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.786 * [taylor]: Taking taylor expansion of re in re 2.792 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.792 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.792 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.792 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.792 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.792 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.792 * [taylor]: Taking taylor expansion of -1 in re 2.792 * [taylor]: Taking taylor expansion of re in re 2.792 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.792 * [taylor]: Taking taylor expansion of -1 in re 2.792 * [taylor]: Taking taylor expansion of re in re 2.793 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of im in re 2.793 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.793 * [taylor]: Taking taylor expansion of -1 in re 2.793 * [taylor]: Taking taylor expansion of im in re 2.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.801 * [taylor]: Taking taylor expansion of re in re 2.807 * [taylor]: Taking taylor expansion of 0 in im 2.807 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.807 * [taylor]: Taking taylor expansion of +nan.0 in im 2.807 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.807 * [taylor]: Taking taylor expansion of im in im 2.812 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.812 * [taylor]: Taking taylor expansion of +nan.0 in im 2.812 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.812 * [taylor]: Taking taylor expansion of im in im 2.822 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 2.822 * [taylor]: Taking taylor expansion of +nan.0 in im 2.822 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 2.822 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.822 * [taylor]: Taking taylor expansion of 1/8 in im 2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.822 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.822 * [taylor]: Taking taylor expansion of im in im 2.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 2.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.823 * [taylor]: Taking taylor expansion of +nan.0 in im 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.823 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.823 * [taylor]: Taking taylor expansion of im in im 2.847 * * * [progress]: simplifying candidates 2.848 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt 1)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) 1) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (+ (log (sqrt (sqrt 2.0))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (+ (log (sqrt (sqrt 2.0))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (exp (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt 2.0) (* (sqrt 2.0) (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (* (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt 1) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) (/ 1 2) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 2.856 * * [simplify]: iteration 0 : 423 enodes (cost 1053 ) 2.864 * * [simplify]: iteration 1 : 1694 enodes (cost 954 ) 2.896 * * [simplify]: iteration 2 : 5002 enodes (cost 938 ) 2.900 * [simplify]: Simplified to: (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (exp (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (sqrt 2.0) (fma (sqrt 1) (hypot re im) re)) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (sqrt (sqrt 2.0)) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (cbrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt 2.0)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2))) (* (sqrt (sqrt 2.0)) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (log1p (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (* (fma (sqrt 1) (hypot re im) re) 2.0) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (fma (sqrt 1) (hypot re im) re) 2.0) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (+ (log (sqrt 2.0)) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (pow (exp (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))))) (cbrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (pow (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 3) (* (fma (sqrt 1) (hypot re im) re) 2.0) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re))))) (sqrt 2.0) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (sqrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)))) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma 1 (* (hypot re im) (hypot re im)) (* re (- re (* (sqrt 1) (hypot re im))))) (- (* (* (hypot re im) (hypot re im)) 1) (pow re 2)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (log (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (* (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (pow (sqrt (+ (* (sqrt 1) (hypot re im)) re)) 3) (fabs (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) 1 (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (hypot (pow re 3/2) (pow (* (sqrt 1) (hypot re im)) 3/2)) (sqrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (sqrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (sqrt (- (* (sqrt 1) (hypot re im)) re)) 1/2 (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (fma (- +nan.0) (* (* 2.0 re) re) (* (* +nan.0 (sqrt 2.0)) (- im re))) (fma (- +nan.0) (/ (pow (sqrt 2.0) 3) (pow re 2)) (fma +nan.0 (/ 2.0 re) (- (* +nan.0 (sqrt 2.0))))) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (fma (- +nan.0) (sqrt 2.0) (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 0 (+ re im) (* 2 re) 0 (fma (- (* re re)) +nan.0 (* +nan.0 (- im re))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 0 2.901 * * * [progress]: adding candidates to table 3.233 * [progress]: [Phase 3 of 3] Extracting. 3.233 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.235 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.235 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 3.270 * * * * [regimes]: Trying to branch on (* im im) from (# #) 3.282 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 3.334 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 3.376 * * * [regime]: Found split indices: #