2.810 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.050 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.051 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.053 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.054 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.055 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.057 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.057 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.105 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.126 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.132 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.136 * [taylor]: Taking taylor expansion of 1/2 in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of 1 in im 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.151 * [taylor]: Taking taylor expansion of 1/2 in im 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.151 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.163 * [taylor]: Taking taylor expansion of 1 in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.170 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.170 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.170 * [taylor]: Taking taylor expansion of 2.0 in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.175 * [taylor]: Taking taylor expansion of 2.0 in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.177 * [taylor]: Taking taylor expansion of 2.0 in re 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.180 * [taylor]: Taking taylor expansion of 2.0 in im 0.180 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.184 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.184 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.184 * [taylor]: Taking taylor expansion of 1/2 in im 0.184 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.184 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.184 * [taylor]: Taking taylor expansion of 2.0 in im 0.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.185 * [taylor]: Taking taylor expansion of im in im 0.205 * [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 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [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 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.208 * [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 0.210 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [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 0.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.213 * [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 0.218 * [taylor]: Taking taylor expansion of 2.0 in re 0.218 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.218 * [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 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.219 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.227 * [taylor]: Taking taylor expansion of +nan.0 in im 0.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.237 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.237 * [taylor]: Taking taylor expansion of +nan.0 in im 0.237 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.238 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.238 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.254 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.254 * [taylor]: Taking taylor expansion of +nan.0 in im 0.254 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.254 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.255 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.255 * [taylor]: Taking taylor expansion of +nan.0 in im 0.255 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.279 * [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 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.279 * [taylor]: Taking taylor expansion of 2.0 in im 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.279 * [taylor]: Taking taylor expansion of re in im 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.283 * [taylor]: Taking taylor expansion of 2.0 in re 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.284 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.284 * [taylor]: Taking taylor expansion of im in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.288 * [taylor]: Taking taylor expansion of 2.0 in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.289 * [taylor]: Taking taylor expansion of im in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.294 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.294 * [taylor]: Taking taylor expansion of +nan.0 in im 0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.295 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.309 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.309 * [taylor]: Taking taylor expansion of +nan.0 in im 0.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.309 * [taylor]: Taking taylor expansion of 2.0 in im 0.322 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.323 * [taylor]: Taking taylor expansion of +nan.0 in im 0.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.323 * [taylor]: Taking taylor expansion of 2.0 in im 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.323 * [taylor]: Taking taylor expansion of im in im 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.337 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of re in im 0.338 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.339 * [taylor]: Taking taylor expansion of re in re 0.339 * [taylor]: Taking taylor expansion of im in im 0.340 * [taylor]: Taking taylor expansion of -1 in im 0.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.341 * [taylor]: Taking taylor expansion of 1/2 in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.345 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.346 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.346 * [taylor]: Taking taylor expansion of re in im 0.348 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.348 * [taylor]: Taking taylor expansion of re in im 0.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 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 0.351 * [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 0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.357 * [taylor]: Taking taylor expansion of 1/2 in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.363 * [taylor]: Taking taylor expansion of re in im 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.364 * [taylor]: Taking taylor expansion of re in im 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.366 * [taylor]: Taking taylor expansion of re in re 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.372 * [taylor]: Taking taylor expansion of 2 in im 0.373 * [taylor]: Taking taylor expansion of 0 in im 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.375 * [taylor]: Taking taylor expansion of 1/2 in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.381 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.381 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.381 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.381 * [taylor]: Taking taylor expansion of re in im 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.381 * [taylor]: Taking taylor expansion of im in im 0.381 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.381 * [taylor]: Taking taylor expansion of re in re 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.381 * [taylor]: Taking taylor expansion of im in re 0.381 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.382 * [taylor]: Taking taylor expansion of im in re 0.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [taylor]: Taking taylor expansion of 1 in im 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.386 * [taylor]: Taking taylor expansion of im in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.387 * [taylor]: Taking taylor expansion of re in im 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.387 * [taylor]: Taking taylor expansion of im in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.388 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.388 * [taylor]: Taking taylor expansion of im in re 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.388 * [taylor]: Taking taylor expansion of re in re 0.389 * [taylor]: Taking taylor expansion of 1 in im 0.390 * [taylor]: Taking taylor expansion of 0 in im 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.393 * [taylor]: Taking taylor expansion of 0 in im 0.398 * [taylor]: Taking taylor expansion of 0 in im 0.399 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.399 * [taylor]: Taking taylor expansion of im in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.400 * [taylor]: Taking taylor expansion of re in im 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of 1 in im 0.403 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.404 * [taylor]: Taking taylor expansion of im in im 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.410 * * * [progress]: simplifying candidates 0.411 * [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)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.416 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.423 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.452 * * [simplify]: iteration 2 : 5002 enodes (cost 533 ) 0.455 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (- im re) 0 (* -2 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.455 * * * [progress]: adding candidates to table 0.671 * * [progress]: iteration 2 / 4 0.671 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.690 * * * [progress]: generating rewritten candidates 0.690 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.717 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.723 * * * [progress]: generating series expansions 0.723 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.723 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.724 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.724 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.724 * [taylor]: Taking taylor expansion of 2.0 in im 0.724 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.724 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.725 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.725 * [taylor]: Taking taylor expansion of (* re re) in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of re in im 0.725 * [taylor]: Taking taylor expansion of (* im im) in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.725 * [taylor]: Taking taylor expansion of im in im 0.726 * [taylor]: Taking taylor expansion of re in im 0.730 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.730 * [taylor]: Taking taylor expansion of 2.0 in re 0.731 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.731 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.731 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.731 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.731 * [taylor]: Taking taylor expansion of (* re re) in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of re in re 0.731 * [taylor]: Taking taylor expansion of (* im im) in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.731 * [taylor]: Taking taylor expansion of im in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.733 * [taylor]: Taking taylor expansion of 2.0 in re 0.734 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.734 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.734 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.734 * [taylor]: Taking taylor expansion of (* re re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [taylor]: Taking taylor expansion of (* im im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.736 * [taylor]: Taking taylor expansion of 2.0 in im 0.737 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.741 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.741 * [taylor]: Taking taylor expansion of 1/2 in im 0.741 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.741 * [taylor]: Taking taylor expansion of 2.0 in im 0.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.742 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.742 * [taylor]: Taking taylor expansion of im in im 0.761 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.761 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.761 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.761 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.761 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.761 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.761 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.761 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.762 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.765 * [taylor]: Taking taylor expansion of re in im 0.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.766 * [taylor]: Taking taylor expansion of 2.0 in im 0.767 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.767 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.767 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.767 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.767 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.775 * [taylor]: Taking taylor expansion of 2.0 in re 0.776 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.776 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.776 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.776 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.776 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.776 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.776 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.777 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.777 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.785 * [taylor]: Taking taylor expansion of 2.0 in re 0.786 * [taylor]: Taking taylor expansion of 0 in im 0.786 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.786 * [taylor]: Taking taylor expansion of +nan.0 in im 0.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.786 * [taylor]: Taking taylor expansion of 2.0 in im 0.787 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.787 * [taylor]: Taking taylor expansion of im in im 0.795 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.795 * [taylor]: Taking taylor expansion of +nan.0 in im 0.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.795 * [taylor]: Taking taylor expansion of 2.0 in im 0.795 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.814 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.814 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.814 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.814 * [taylor]: Taking taylor expansion of +nan.0 in im 0.814 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.814 * [taylor]: Taking taylor expansion of 2.0 in im 0.815 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.815 * [taylor]: Taking taylor expansion of im in im 0.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.816 * [taylor]: Taking taylor expansion of +nan.0 in im 0.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.816 * [taylor]: Taking taylor expansion of 2.0 in im 0.817 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.817 * [taylor]: Taking taylor expansion of im in im 0.839 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.839 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.840 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.840 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.840 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.840 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.840 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.840 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.840 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.840 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.840 * [taylor]: Taking taylor expansion of -1 in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.844 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.845 * [taylor]: Taking taylor expansion of 2.0 in re 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.846 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.846 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.846 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.846 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.846 * [taylor]: Taking taylor expansion of -1 in re 0.846 * [taylor]: Taking taylor expansion of re in re 0.846 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.846 * [taylor]: Taking taylor expansion of -1 in re 0.846 * [taylor]: Taking taylor expansion of re in re 0.846 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.846 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.846 * [taylor]: Taking taylor expansion of -1 in re 0.846 * [taylor]: Taking taylor expansion of im in re 0.846 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.846 * [taylor]: Taking taylor expansion of -1 in re 0.846 * [taylor]: Taking taylor expansion of im in re 0.850 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.850 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.850 * [taylor]: Taking taylor expansion of 2.0 in re 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.851 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.851 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.851 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.851 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.851 * [taylor]: Taking taylor expansion of -1 in re 0.851 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.852 * [taylor]: Taking taylor expansion of -1 in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.852 * [taylor]: Taking taylor expansion of -1 in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.852 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.852 * [taylor]: Taking taylor expansion of -1 in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.856 * [taylor]: Taking taylor expansion of 0 in im 0.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.857 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.857 * [taylor]: Taking taylor expansion of +nan.0 in im 0.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.857 * [taylor]: Taking taylor expansion of 2.0 in im 0.863 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.863 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.863 * [taylor]: Taking taylor expansion of +nan.0 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 0.872 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.872 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.872 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.872 * [taylor]: Taking taylor expansion of +nan.0 in im 0.872 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.872 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.872 * [taylor]: Taking taylor expansion of 2.0 in im 0.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.873 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.873 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.873 * [taylor]: Taking taylor expansion of +nan.0 in im 0.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.873 * [taylor]: Taking taylor expansion of 2.0 in im 0.887 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.887 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.887 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.887 * [taylor]: Taking taylor expansion of +nan.0 in im 0.887 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.887 * [taylor]: Taking taylor expansion of 2.0 in im 0.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.888 * [taylor]: Taking taylor expansion of im in im 0.889 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.889 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.889 * [taylor]: Taking taylor expansion of +nan.0 in im 0.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.889 * [taylor]: Taking taylor expansion of 2.0 in im 0.901 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.902 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.902 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.902 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.902 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.902 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.902 * [taylor]: Taking taylor expansion of (* re re) in im 0.902 * [taylor]: Taking taylor expansion of re in im 0.902 * [taylor]: Taking taylor expansion of re in im 0.902 * [taylor]: Taking taylor expansion of (* im im) in im 0.902 * [taylor]: Taking taylor expansion of im in im 0.902 * [taylor]: Taking taylor expansion of im in im 0.903 * [taylor]: Taking taylor expansion of re in im 0.903 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.903 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.903 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.903 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.903 * [taylor]: Taking taylor expansion of (* re re) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [taylor]: Taking taylor expansion of (* im im) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.904 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.904 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.904 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.904 * [taylor]: Taking taylor expansion of (* re re) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (* im im) in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [taylor]: Taking taylor expansion of -1 in im 0.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.908 * [taylor]: Taking taylor expansion of 1/2 in im 0.908 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.908 * [taylor]: Taking taylor expansion of im in im 0.911 * [taylor]: Taking taylor expansion of 0 in im 0.912 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.912 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.912 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.912 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.912 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.915 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.915 * [taylor]: Taking taylor expansion of re in im 0.916 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.916 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.916 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.916 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.916 * [taylor]: Taking taylor expansion of re in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.916 * [taylor]: Taking taylor expansion of re in re 0.916 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.916 * [taylor]: Taking taylor expansion of im in re 0.916 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.916 * [taylor]: Taking taylor expansion of im in re 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.919 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.920 * [taylor]: Taking taylor expansion of re in re 0.920 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.920 * [taylor]: Taking taylor expansion of im in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.920 * [taylor]: Taking taylor expansion of im in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [taylor]: Taking taylor expansion of 0 in im 0.924 * [taylor]: Taking taylor expansion of 0 in im 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.927 * [taylor]: Taking taylor expansion of 1/2 in im 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.927 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.927 * [taylor]: Taking taylor expansion of im in im 0.932 * [taylor]: Taking taylor expansion of 0 in im 0.934 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.934 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.934 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of re in im 0.934 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.934 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.934 * [taylor]: Taking taylor expansion of -1 in im 0.934 * [taylor]: Taking taylor expansion of im in im 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.937 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.938 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.938 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.938 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.938 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.938 * [taylor]: Taking taylor expansion of -1 in re 0.938 * [taylor]: Taking taylor expansion of re in re 0.938 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.938 * [taylor]: Taking taylor expansion of -1 in re 0.938 * [taylor]: Taking taylor expansion of re in re 0.938 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.938 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.938 * [taylor]: Taking taylor expansion of -1 in re 0.938 * [taylor]: Taking taylor expansion of im in re 0.938 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.938 * [taylor]: Taking taylor expansion of -1 in re 0.938 * [taylor]: Taking taylor expansion of im in re 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.941 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.941 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.941 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.941 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.941 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.941 * [taylor]: Taking taylor expansion of -1 in re 0.941 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.942 * [taylor]: Taking taylor expansion of -1 in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.942 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.942 * [taylor]: Taking taylor expansion of -1 in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.942 * [taylor]: Taking taylor expansion of -1 in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.945 * [taylor]: Taking taylor expansion of 2 in im 0.946 * [taylor]: Taking taylor expansion of 0 in im 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.949 * [taylor]: Taking taylor expansion of 1/2 in im 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.953 * [taylor]: Taking taylor expansion of 0 in im 0.955 * * * [progress]: simplifying candidates 0.956 * [simplify]: Simplifying using # : (expm1 (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (log1p (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (log (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (exp (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (* (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re)))))) (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (* (* (sqrt (* 2.0 (* 1 (- (hypot re im) re)))) (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt 2.0) (sqrt (* 1 (- (hypot re im) re))) (sqrt (* 2.0 (* 1 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- im re) 0 (* -2 re) 0.960 * * [simplify]: iteration 0 : 232 enodes (cost 325 ) 0.964 * * [simplify]: iteration 1 : 856 enodes (cost 239 ) 0.984 * * [simplify]: iteration 2 : 5002 enodes (cost 235 ) 0.985 * [simplify]: Simplified to: (expm1 (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (log1p (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (log (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (exp (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (* (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re)))))) (cbrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (pow (sqrt (* 2.0 (* 1 (- (hypot re im) re)))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (* 1 (- (pow (hypot re im) 3) (pow re 3))))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (* 2.0 (* 1 (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (+ (hypot re im) re)) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (sqrt (sqrt (* 2.0 (* 1 (- (hypot re im) re))))) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (- im re) 0 (* -2 re) 0.986 * * * [progress]: adding candidates to table 1.093 * * [progress]: iteration 3 / 4 1.093 * * * [progress]: picking best candidate 1.104 * * * * [pick]: Picked # 1.104 * * * [progress]: localizing error 1.112 * * * [progress]: generating rewritten candidates 1.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2 1) 1.130 * * * [progress]: generating series expansions 1.130 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.131 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.131 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.131 * [taylor]: Taking taylor expansion of 2.0 in im 1.132 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.132 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.132 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.132 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.132 * [taylor]: Taking taylor expansion of (* re re) in im 1.132 * [taylor]: Taking taylor expansion of re in im 1.132 * [taylor]: Taking taylor expansion of re in im 1.132 * [taylor]: Taking taylor expansion of (* im im) in im 1.132 * [taylor]: Taking taylor expansion of im in im 1.132 * [taylor]: Taking taylor expansion of im in im 1.133 * [taylor]: Taking taylor expansion of re in im 1.137 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.137 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.137 * [taylor]: Taking taylor expansion of 2.0 in re 1.138 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.138 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.138 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.138 * [taylor]: Taking taylor expansion of (* re re) in re 1.138 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of re in re 1.138 * [taylor]: Taking taylor expansion of (* im im) in re 1.138 * [taylor]: Taking taylor expansion of im in re 1.138 * [taylor]: Taking taylor expansion of im in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.140 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.140 * [taylor]: Taking taylor expansion of 2.0 in re 1.141 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.141 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.141 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.141 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.141 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.141 * [taylor]: Taking taylor expansion of (* re re) in re 1.141 * [taylor]: Taking taylor expansion of re in re 1.141 * [taylor]: Taking taylor expansion of re in re 1.141 * [taylor]: Taking taylor expansion of (* im im) in re 1.141 * [taylor]: Taking taylor expansion of im in re 1.141 * [taylor]: Taking taylor expansion of im in re 1.142 * [taylor]: Taking taylor expansion of re in re 1.143 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.143 * [taylor]: Taking taylor expansion of 2.0 in im 1.144 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.148 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.148 * [taylor]: Taking taylor expansion of 1/2 in im 1.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.148 * [taylor]: Taking taylor expansion of 2.0 in im 1.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.149 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.149 * [taylor]: Taking taylor expansion of im in im 1.172 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.172 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.172 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.172 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.172 * [taylor]: Taking taylor expansion of re in im 1.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.172 * [taylor]: Taking taylor expansion of re in im 1.172 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.172 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.173 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.175 * [taylor]: Taking taylor expansion of re in im 1.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.177 * [taylor]: Taking taylor expansion of 2.0 in im 1.177 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.177 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.177 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.178 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.178 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.178 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.178 * [taylor]: Taking taylor expansion of re in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.178 * [taylor]: Taking taylor expansion of re in re 1.178 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.178 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.181 * [taylor]: Taking taylor expansion of re in re 1.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.186 * [taylor]: Taking taylor expansion of 2.0 in re 1.187 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.187 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.187 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.187 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.187 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.187 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.188 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.188 * [taylor]: Taking taylor expansion of im in re 1.188 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.188 * [taylor]: Taking taylor expansion of im in re 1.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.190 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.196 * [taylor]: Taking taylor expansion of 2.0 in re 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.197 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.197 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.197 * [taylor]: Taking taylor expansion of +nan.0 in im 1.197 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.197 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.197 * [taylor]: Taking taylor expansion of 2.0 in im 1.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.198 * [taylor]: Taking taylor expansion of im in im 1.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.205 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.205 * [taylor]: Taking taylor expansion of +nan.0 in im 1.205 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.205 * [taylor]: Taking taylor expansion of 2.0 in im 1.206 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.222 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.222 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.222 * [taylor]: Taking taylor expansion of +nan.0 in im 1.222 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.222 * [taylor]: Taking taylor expansion of 2.0 in im 1.223 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.224 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.224 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.224 * [taylor]: Taking taylor expansion of +nan.0 in im 1.224 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.224 * [taylor]: Taking taylor expansion of 2.0 in im 1.224 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.225 * [taylor]: Taking taylor expansion of im in im 1.252 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.252 * [taylor]: Taking taylor expansion of 2.0 in im 1.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.253 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.253 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.253 * [taylor]: Taking taylor expansion of re in im 1.253 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.253 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.253 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.253 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.253 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.253 * [taylor]: Taking taylor expansion of -1 in im 1.253 * [taylor]: Taking taylor expansion of re in im 1.253 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.253 * [taylor]: Taking taylor expansion of -1 in im 1.253 * [taylor]: Taking taylor expansion of re in im 1.253 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.253 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.253 * [taylor]: Taking taylor expansion of -1 in im 1.253 * [taylor]: Taking taylor expansion of im in im 1.254 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.254 * [taylor]: Taking taylor expansion of -1 in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.258 * [taylor]: Taking taylor expansion of 2.0 in re 1.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.258 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.259 * [taylor]: Taking taylor expansion of -1 in re 1.259 * [taylor]: Taking taylor expansion of re in re 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.260 * [taylor]: Taking taylor expansion of -1 in re 1.260 * [taylor]: Taking taylor expansion of im in re 1.260 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.260 * [taylor]: Taking taylor expansion of -1 in re 1.260 * [taylor]: Taking taylor expansion of im in re 1.263 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.263 * [taylor]: Taking taylor expansion of 2.0 in re 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.264 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.264 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.264 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.264 * [taylor]: Taking taylor expansion of -1 in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.265 * [taylor]: Taking taylor expansion of -1 in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.265 * [taylor]: Taking taylor expansion of -1 in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.265 * [taylor]: Taking taylor expansion of -1 in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.269 * [taylor]: Taking taylor expansion of 0 in im 1.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.271 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.271 * [taylor]: Taking taylor expansion of +nan.0 in im 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.271 * [taylor]: Taking taylor expansion of 2.0 in im 1.276 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.276 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.276 * [taylor]: Taking taylor expansion of +nan.0 in im 1.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.276 * [taylor]: Taking taylor expansion of 2.0 in im 1.284 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.285 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.285 * [taylor]: Taking taylor expansion of +nan.0 in im 1.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.285 * [taylor]: Taking taylor expansion of 2.0 in im 1.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.285 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.286 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.286 * [taylor]: Taking taylor expansion of +nan.0 in im 1.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.286 * [taylor]: Taking taylor expansion of 2.0 in im 1.297 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.298 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.298 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.298 * [taylor]: Taking taylor expansion of +nan.0 in im 1.298 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.298 * [taylor]: Taking taylor expansion of 2.0 in im 1.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.299 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.299 * [taylor]: Taking taylor expansion of +nan.0 in im 1.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.299 * [taylor]: Taking taylor expansion of 2.0 in im 1.312 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2 1) 1.312 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.312 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.312 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.312 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.312 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.312 * [taylor]: Taking taylor expansion of (* re re) in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.312 * [taylor]: Taking taylor expansion of (* im im) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.313 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.313 * [taylor]: Taking taylor expansion of (* re re) in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [taylor]: Taking taylor expansion of (* im im) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.315 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.315 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.315 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.315 * [taylor]: Taking taylor expansion of (* re re) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of (* im im) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.316 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of -1 in im 1.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.319 * [taylor]: Taking taylor expansion of 1/2 in im 1.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.319 * [taylor]: Taking taylor expansion of im in im 1.321 * [taylor]: Taking taylor expansion of 0 in im 1.323 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.323 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.326 * [taylor]: Taking taylor expansion of re in im 1.326 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.326 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.326 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.326 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.338 * [taylor]: Taking taylor expansion of re in re 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.339 * [taylor]: Taking taylor expansion of 0 in im 1.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.342 * [taylor]: Taking taylor expansion of 1/2 in im 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.349 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.349 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.349 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.349 * [taylor]: Taking taylor expansion of -1 in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.349 * [taylor]: Taking taylor expansion of -1 in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.349 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.349 * [taylor]: Taking taylor expansion of -1 in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.350 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.350 * [taylor]: Taking taylor expansion of -1 in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.352 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.353 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.353 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.353 * [taylor]: Taking taylor expansion of -1 in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.353 * [taylor]: Taking taylor expansion of -1 in re 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.354 * [taylor]: Taking taylor expansion of -1 in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.354 * [taylor]: Taking taylor expansion of -1 in re 1.354 * [taylor]: Taking taylor expansion of im in re 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.357 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.357 * [taylor]: Taking taylor expansion of -1 in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.360 * [taylor]: Taking taylor expansion of 2 in im 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.364 * [taylor]: Taking taylor expansion of 1/2 in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.369 * [taylor]: Taking taylor expansion of 0 in im 1.370 * * * [progress]: simplifying candidates 1.371 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (+ (log (sqrt 2.0)) (log (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (* (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (sqrt 2.0) (sqrt 1)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) 1) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- im re) 0 (* -2 re) 1.376 * * [simplify]: iteration 0 : 277 enodes (cost 470 ) 1.381 * * [simplify]: iteration 1 : 1061 enodes (cost 382 ) 1.405 * * [simplify]: iteration 2 : 5002 enodes (cost 374 ) 1.407 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log1p (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* 2.0 (- (hypot re im) re)) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* 2.0 (- (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (log (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (exp (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re))))) (cbrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (pow (* (sqrt 2.0) (sqrt (- (hypot re im) re))) 3) (* 2.0 (- (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (sqrt (* (sqrt 2.0) (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (sqrt 2.0) (* (sqrt 2.0) (sqrt (sqrt (- (hypot re im) re)))) (sqrt 2.0) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (- im re) 0 (* -2 re) 1.407 * * * [progress]: adding candidates to table 1.551 * * [progress]: iteration 4 / 4 1.551 * * * [progress]: picking best candidate 1.563 * * * * [pick]: Picked # 1.564 * * * [progress]: localizing error 1.575 * * * [progress]: generating rewritten candidates 1.575 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.604 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.621 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2 1) 1.627 * * * [progress]: generating series expansions 1.627 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.629 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.629 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.629 * [taylor]: Taking taylor expansion of 2.0 in im 1.630 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.630 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.630 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.630 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.630 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.630 * [taylor]: Taking taylor expansion of (* re re) in im 1.630 * [taylor]: Taking taylor expansion of re in im 1.630 * [taylor]: Taking taylor expansion of re in im 1.630 * [taylor]: Taking taylor expansion of (* im im) in im 1.630 * [taylor]: Taking taylor expansion of im in im 1.630 * [taylor]: Taking taylor expansion of im in im 1.631 * [taylor]: Taking taylor expansion of re in im 1.635 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.635 * [taylor]: Taking taylor expansion of 2.0 in re 1.636 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.636 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.636 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.636 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.636 * [taylor]: Taking taylor expansion of (* re re) in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.636 * [taylor]: Taking taylor expansion of (* im im) in re 1.636 * [taylor]: Taking taylor expansion of im in re 1.636 * [taylor]: Taking taylor expansion of im in re 1.637 * [taylor]: Taking taylor expansion of re in re 1.638 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.638 * [taylor]: Taking taylor expansion of 2.0 in re 1.639 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.639 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.639 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.639 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.639 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.639 * [taylor]: Taking taylor expansion of (* re re) in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [taylor]: Taking taylor expansion of (* im im) in re 1.639 * [taylor]: Taking taylor expansion of im in re 1.639 * [taylor]: Taking taylor expansion of im in re 1.640 * [taylor]: Taking taylor expansion of re in re 1.641 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.641 * [taylor]: Taking taylor expansion of 2.0 in im 1.642 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.642 * [taylor]: Taking taylor expansion of im in im 1.645 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.645 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.645 * [taylor]: Taking taylor expansion of 1/2 in im 1.645 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.646 * [taylor]: Taking taylor expansion of 2.0 in im 1.646 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.668 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.668 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.668 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.668 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.668 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.668 * [taylor]: Taking taylor expansion of re in im 1.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.668 * [taylor]: Taking taylor expansion of re in im 1.668 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.668 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.668 * [taylor]: Taking taylor expansion of im in im 1.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.669 * [taylor]: Taking taylor expansion of im in im 1.671 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.671 * [taylor]: Taking taylor expansion of re in im 1.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.673 * [taylor]: Taking taylor expansion of 2.0 in im 1.673 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.673 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.673 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.673 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.673 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.673 * [taylor]: Taking taylor expansion of re in re 1.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.674 * [taylor]: Taking taylor expansion of re in re 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.674 * [taylor]: Taking taylor expansion of im in re 1.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.674 * [taylor]: Taking taylor expansion of im in re 1.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.677 * [taylor]: Taking taylor expansion of re in re 1.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.682 * [taylor]: Taking taylor expansion of 2.0 in re 1.683 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.683 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.683 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.683 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.683 * [taylor]: Taking taylor expansion of re in re 1.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.683 * [taylor]: Taking taylor expansion of re in re 1.684 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.684 * [taylor]: Taking taylor expansion of im in re 1.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.684 * [taylor]: Taking taylor expansion of im in re 1.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.691 * [taylor]: Taking taylor expansion of re in re 1.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.697 * [taylor]: Taking taylor expansion of 2.0 in re 1.698 * [taylor]: Taking taylor expansion of 0 in im 1.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.698 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.698 * [taylor]: Taking taylor expansion of +nan.0 in im 1.698 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.698 * [taylor]: Taking taylor expansion of 2.0 in im 1.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.699 * [taylor]: Taking taylor expansion of im in im 1.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.707 * [taylor]: Taking taylor expansion of +nan.0 in im 1.707 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.707 * [taylor]: Taking taylor expansion of 2.0 in im 1.707 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.707 * [taylor]: Taking taylor expansion of im in im 1.723 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.723 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.723 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.723 * [taylor]: Taking taylor expansion of +nan.0 in im 1.723 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.723 * [taylor]: Taking taylor expansion of 2.0 in im 1.724 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.724 * [taylor]: Taking taylor expansion of im in im 1.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.725 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.725 * [taylor]: Taking taylor expansion of +nan.0 in im 1.725 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.725 * [taylor]: Taking taylor expansion of 2.0 in im 1.726 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.726 * [taylor]: Taking taylor expansion of im in im 1.750 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.750 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.750 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.750 * [taylor]: Taking taylor expansion of 2.0 in im 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.751 * [taylor]: Taking taylor expansion of -1 in im 1.752 * [taylor]: Taking taylor expansion of im in im 1.756 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.756 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.756 * [taylor]: Taking taylor expansion of 2.0 in re 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.757 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.757 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.757 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.757 * [taylor]: Taking taylor expansion of -1 in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.757 * [taylor]: Taking taylor expansion of -1 in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.757 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.757 * [taylor]: Taking taylor expansion of -1 in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.758 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.758 * [taylor]: Taking taylor expansion of -1 in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.761 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.761 * [taylor]: Taking taylor expansion of 2.0 in re 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.762 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.762 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.762 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.762 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.762 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.762 * [taylor]: Taking taylor expansion of -1 in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.763 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.763 * [taylor]: Taking taylor expansion of -1 in re 1.763 * [taylor]: Taking taylor expansion of im in re 1.768 * [taylor]: Taking taylor expansion of 0 in im 1.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.774 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.774 * [taylor]: Taking taylor expansion of +nan.0 in im 1.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.774 * [taylor]: Taking taylor expansion of 2.0 in im 1.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.779 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.779 * [taylor]: Taking taylor expansion of +nan.0 in im 1.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.779 * [taylor]: Taking taylor expansion of 2.0 in im 1.788 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.788 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.788 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.788 * [taylor]: Taking taylor expansion of +nan.0 in im 1.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.788 * [taylor]: Taking taylor expansion of 2.0 in im 1.789 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.789 * [taylor]: Taking taylor expansion of im in im 1.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.790 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.790 * [taylor]: Taking taylor expansion of +nan.0 in im 1.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.790 * [taylor]: Taking taylor expansion of 2.0 in im 1.801 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.801 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.801 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.801 * [taylor]: Taking taylor expansion of +nan.0 in im 1.801 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.801 * [taylor]: Taking taylor expansion of 2.0 in im 1.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.802 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.802 * [taylor]: Taking taylor expansion of +nan.0 in im 1.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.802 * [taylor]: Taking taylor expansion of 2.0 in im 1.815 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.816 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in (re im) around 0 1.816 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in im 1.816 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.816 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.816 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.816 * [taylor]: Taking taylor expansion of 1/3 in im 1.816 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.816 * [taylor]: Taking taylor expansion of 2.0 in im 1.819 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.819 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.819 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.820 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.820 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.820 * [taylor]: Taking taylor expansion of (* re re) in im 1.820 * [taylor]: Taking taylor expansion of re in im 1.820 * [taylor]: Taking taylor expansion of re in im 1.820 * [taylor]: Taking taylor expansion of (* im im) in im 1.820 * [taylor]: Taking taylor expansion of im in im 1.820 * [taylor]: Taking taylor expansion of im in im 1.821 * [taylor]: Taking taylor expansion of re in im 1.825 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in re 1.825 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.825 * [taylor]: Taking taylor expansion of 1/3 in re 1.825 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.825 * [taylor]: Taking taylor expansion of 2.0 in re 1.828 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.828 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.828 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.829 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.829 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.829 * [taylor]: Taking taylor expansion of (* re re) in re 1.829 * [taylor]: Taking taylor expansion of re in re 1.829 * [taylor]: Taking taylor expansion of re in re 1.829 * [taylor]: Taking taylor expansion of (* im im) in re 1.829 * [taylor]: Taking taylor expansion of im in re 1.829 * [taylor]: Taking taylor expansion of im in re 1.830 * [taylor]: Taking taylor expansion of re in re 1.831 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (- (hypot re im) re))) in re 1.831 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.831 * [taylor]: Taking taylor expansion of 1/3 in re 1.831 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.831 * [taylor]: Taking taylor expansion of 2.0 in re 1.834 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.834 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.834 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.834 * [taylor]: Taking taylor expansion of (* re re) in re 1.834 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of re in re 1.834 * [taylor]: Taking taylor expansion of (* im im) in re 1.834 * [taylor]: Taking taylor expansion of im in re 1.834 * [taylor]: Taking taylor expansion of im in re 1.835 * [taylor]: Taking taylor expansion of re in re 1.837 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt im)) in im 1.837 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.837 * [taylor]: Taking taylor expansion of 1/3 in im 1.837 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.837 * [taylor]: Taking taylor expansion of 2.0 in im 1.840 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.840 * [taylor]: Taking taylor expansion of im in im 1.850 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im))))) in im 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im)))) in im 1.850 * [taylor]: Taking taylor expansion of 1/2 in im 1.850 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (/ 1 im))) in im 1.850 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.851 * [taylor]: Taking taylor expansion of 1/3 in im 1.851 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.851 * [taylor]: Taking taylor expansion of 2.0 in im 1.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.860 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.860 * [taylor]: Taking taylor expansion of im in im 1.897 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in (re im) around 0 1.897 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in im 1.897 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.897 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.897 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.897 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.897 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.897 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.897 * [taylor]: Taking taylor expansion of re in im 1.897 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.900 * [taylor]: Taking taylor expansion of re in im 1.901 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.901 * [taylor]: Taking taylor expansion of 1/3 in im 1.901 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.901 * [taylor]: Taking taylor expansion of 2.0 in im 1.905 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 1.905 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.905 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.905 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.905 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.905 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.905 * [taylor]: Taking taylor expansion of re in re 1.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.905 * [taylor]: Taking taylor expansion of re in re 1.906 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.914 * [taylor]: Taking taylor expansion of 1/3 in re 1.914 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.914 * [taylor]: Taking taylor expansion of 2.0 in re 1.917 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (pow (sqrt 2.0) 1/3)) in re 1.917 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.917 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.917 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.917 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.917 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.917 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.918 * [taylor]: Taking taylor expansion of re in re 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.918 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.926 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 1.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 1.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 1.926 * [taylor]: Taking taylor expansion of 1/3 in re 1.926 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 1.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.926 * [taylor]: Taking taylor expansion of 2.0 in re 1.930 * [taylor]: Taking taylor expansion of 0 in im 1.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 1.933 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 1.933 * [taylor]: Taking taylor expansion of +nan.0 in im 1.933 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 1.933 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.933 * [taylor]: Taking taylor expansion of 1/3 in im 1.933 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.933 * [taylor]: Taking taylor expansion of 2.0 in im 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.957 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 1.957 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 1.957 * [taylor]: Taking taylor expansion of +nan.0 in im 1.957 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 1.957 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.957 * [taylor]: Taking taylor expansion of 1/3 in im 1.957 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.957 * [taylor]: Taking taylor expansion of 2.0 in im 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.960 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.999 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))))) in im 1.999 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))))) in im 1.999 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6)))) in im 1.999 * [taylor]: Taking taylor expansion of +nan.0 in im 1.999 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 6))) in im 1.999 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 1.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 1.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 1.999 * [taylor]: Taking taylor expansion of 1/3 in im 1.999 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 1.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.999 * [taylor]: Taking taylor expansion of 2.0 in im 2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.002 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.003 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))))) in im 2.003 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4)))) in im 2.003 * [taylor]: Taking taylor expansion of +nan.0 in im 2.003 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 4))) in im 2.003 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.003 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.003 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.003 * [taylor]: Taking taylor expansion of 1/3 in im 2.003 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.003 * [taylor]: Taking taylor expansion of 2.0 in im 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.006 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.007 * [taylor]: Taking taylor expansion of im in im 2.082 * [approximate]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 2.082 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.082 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.082 * [taylor]: Taking taylor expansion of 1/3 in im 2.082 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.082 * [taylor]: Taking taylor expansion of 2.0 in im 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.086 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.086 * [taylor]: Taking taylor expansion of re in im 2.086 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.086 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.086 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.086 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.086 * [taylor]: Taking taylor expansion of -1 in im 2.086 * [taylor]: Taking taylor expansion of re in im 2.086 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.086 * [taylor]: Taking taylor expansion of -1 in im 2.086 * [taylor]: Taking taylor expansion of re in im 2.086 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.086 * [taylor]: Taking taylor expansion of -1 in im 2.086 * [taylor]: Taking taylor expansion of im in im 2.086 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.086 * [taylor]: Taking taylor expansion of -1 in im 2.086 * [taylor]: Taking taylor expansion of im in im 2.090 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.091 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.091 * [taylor]: Taking taylor expansion of 1/3 in re 2.091 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.091 * [taylor]: Taking taylor expansion of 2.0 in re 2.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.099 * [taylor]: Taking taylor expansion of re in re 2.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.100 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.100 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.100 * [taylor]: Taking taylor expansion of -1 in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.100 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.100 * [taylor]: Taking taylor expansion of -1 in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.101 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.101 * [taylor]: Taking taylor expansion of -1 in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.101 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.101 * [taylor]: Taking taylor expansion of -1 in re 2.101 * [taylor]: Taking taylor expansion of im in re 2.104 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.105 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in re 2.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in re 2.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in re 2.105 * [taylor]: Taking taylor expansion of 1/3 in re 2.105 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in re 2.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.105 * [taylor]: Taking taylor expansion of 2.0 in re 2.108 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.108 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.108 * [taylor]: Taking taylor expansion of re in re 2.108 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.108 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.108 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.108 * [taylor]: Taking taylor expansion of -1 in re 2.108 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.109 * [taylor]: Taking taylor expansion of -1 in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.113 * [taylor]: Taking taylor expansion of 0 in im 2.117 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.117 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.117 * [taylor]: Taking taylor expansion of +nan.0 in im 2.117 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.118 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.118 * [taylor]: Taking taylor expansion of 1/3 in im 2.118 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.118 * [taylor]: Taking taylor expansion of 2.0 in im 2.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 1/3))) in im 2.129 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.130 * [taylor]: Taking taylor expansion of +nan.0 in im 2.130 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.130 * [taylor]: Taking taylor expansion of 1/3 in im 2.130 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.130 * [taylor]: Taking taylor expansion of 2.0 in im 2.148 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.148 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.148 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.148 * [taylor]: Taking taylor expansion of +nan.0 in im 2.148 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.148 * [taylor]: Taking taylor expansion of 1/3 in im 2.148 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.148 * [taylor]: Taking taylor expansion of 2.0 in im 2.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.151 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.151 * [taylor]: Taking taylor expansion of +nan.0 in im 2.151 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.151 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.152 * [taylor]: Taking taylor expansion of 1/3 in im 2.152 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.152 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.152 * [taylor]: Taking taylor expansion of 2.0 in im 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.155 * [taylor]: Taking taylor expansion of im in im 2.188 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))))) in im 2.188 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))))) in im 2.188 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 1/3)) in im 2.188 * [taylor]: Taking taylor expansion of +nan.0 in im 2.188 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.188 * [taylor]: Taking taylor expansion of 1/3 in im 2.188 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.188 * [taylor]: Taking taylor expansion of 2.0 in im 2.191 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))))) in im 2.191 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2)))) in im 2.191 * [taylor]: Taking taylor expansion of +nan.0 in im 2.191 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 1/3) (/ 1 (pow im 2))) in im 2.191 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 1/3) in im 2.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2.0)))) in im 2.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2.0))) in im 2.191 * [taylor]: Taking taylor expansion of 1/3 in im 2.191 * [taylor]: Taking taylor expansion of (log (sqrt 2.0)) in im 2.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.191 * [taylor]: Taking taylor expansion of 2.0 in im 2.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.195 * [taylor]: Taking taylor expansion of im in im 2.218 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2 1) 2.218 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.218 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.218 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.218 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.218 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.218 * [taylor]: Taking taylor expansion of (* re re) in im 2.218 * [taylor]: Taking taylor expansion of re in im 2.218 * [taylor]: Taking taylor expansion of re in im 2.218 * [taylor]: Taking taylor expansion of (* im im) in im 2.218 * [taylor]: Taking taylor expansion of im in im 2.218 * [taylor]: Taking taylor expansion of im in im 2.219 * [taylor]: Taking taylor expansion of re in im 2.219 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.219 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.220 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.220 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.220 * [taylor]: Taking taylor expansion of (* re re) in re 2.220 * [taylor]: Taking taylor expansion of re in re 2.220 * [taylor]: Taking taylor expansion of re in re 2.220 * [taylor]: Taking taylor expansion of (* im im) in re 2.220 * [taylor]: Taking taylor expansion of im in re 2.220 * [taylor]: Taking taylor expansion of im in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.221 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.221 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.221 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.221 * [taylor]: Taking taylor expansion of (* re re) in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [taylor]: Taking taylor expansion of (* im im) in re 2.221 * [taylor]: Taking taylor expansion of im in re 2.221 * [taylor]: Taking taylor expansion of im in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.222 * [taylor]: Taking taylor expansion of im in im 2.223 * [taylor]: Taking taylor expansion of -1 in im 2.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.225 * [taylor]: Taking taylor expansion of 1/2 in im 2.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.225 * [taylor]: Taking taylor expansion of im in im 2.227 * [taylor]: Taking taylor expansion of 0 in im 2.229 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.229 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.229 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.229 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.229 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.229 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.229 * [taylor]: Taking taylor expansion of re in im 2.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.229 * [taylor]: Taking taylor expansion of re in im 2.229 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.229 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.229 * [taylor]: Taking taylor expansion of im in im 2.230 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.230 * [taylor]: Taking taylor expansion of im in im 2.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.232 * [taylor]: Taking taylor expansion of re in im 2.232 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.233 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.233 * [taylor]: Taking taylor expansion of im in re 2.233 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.233 * [taylor]: Taking taylor expansion of im in re 2.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.236 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.236 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.236 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.236 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.236 * [taylor]: Taking taylor expansion of re in re 2.237 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.237 * [taylor]: Taking taylor expansion of im in re 2.237 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.237 * [taylor]: Taking taylor expansion of im in re 2.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.239 * [taylor]: Taking taylor expansion of re in re 2.240 * [taylor]: Taking taylor expansion of 0 in im 2.241 * [taylor]: Taking taylor expansion of 0 in im 2.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.244 * [taylor]: Taking taylor expansion of 1/2 in im 2.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.244 * [taylor]: Taking taylor expansion of im in im 2.249 * [taylor]: Taking taylor expansion of 0 in im 2.251 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.251 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.251 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.251 * [taylor]: Taking taylor expansion of re in im 2.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.251 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.251 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.251 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.251 * [taylor]: Taking taylor expansion of -1 in im 2.251 * [taylor]: Taking taylor expansion of re in im 2.251 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.251 * [taylor]: Taking taylor expansion of -1 in im 2.251 * [taylor]: Taking taylor expansion of re in im 2.251 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.251 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.251 * [taylor]: Taking taylor expansion of -1 in im 2.251 * [taylor]: Taking taylor expansion of im in im 2.252 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.252 * [taylor]: Taking taylor expansion of -1 in im 2.252 * [taylor]: Taking taylor expansion of im in im 2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.254 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.254 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.255 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.255 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.255 * [taylor]: Taking taylor expansion of -1 in re 2.255 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.255 * [taylor]: Taking taylor expansion of -1 in re 2.255 * [taylor]: Taking taylor expansion of re in re 2.255 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.256 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.256 * [taylor]: Taking taylor expansion of -1 in re 2.256 * [taylor]: Taking taylor expansion of im in re 2.256 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.256 * [taylor]: Taking taylor expansion of -1 in re 2.256 * [taylor]: Taking taylor expansion of im in re 2.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.258 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.258 * [taylor]: Taking taylor expansion of re in re 2.258 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.259 * [taylor]: Taking taylor expansion of -1 in re 2.259 * [taylor]: Taking taylor expansion of re in re 2.259 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.259 * [taylor]: Taking taylor expansion of -1 in re 2.259 * [taylor]: Taking taylor expansion of re in re 2.259 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.259 * [taylor]: Taking taylor expansion of -1 in re 2.259 * [taylor]: Taking taylor expansion of im in re 2.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.259 * [taylor]: Taking taylor expansion of -1 in re 2.259 * [taylor]: Taking taylor expansion of im in re 2.268 * [taylor]: Taking taylor expansion of 2 in im 2.268 * [taylor]: Taking taylor expansion of 0 in im 2.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.271 * [taylor]: Taking taylor expansion of 1/2 in im 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.271 * [taylor]: Taking taylor expansion of im in im 2.276 * [taylor]: Taking taylor expansion of 0 in im 2.278 * * * [progress]: simplifying candidates 2.279 * [simplify]: Simplifying using # : (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re))))) (+ (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re))))) (+ (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (exp (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))) (* (* (sqrt 2.0) (sqrt 2.0)) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (expm1 (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (+ (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (exp (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (sqrt 2.0) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re)))) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (* (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (cbrt (sqrt 2.0)) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))))) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (* (cbrt (sqrt 2.0)) (sqrt 1)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) 1) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (* im re))) (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (pow im 2))) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) im))))))) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 (pow re 2)))) (- (+ (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (* +nan.0 (* (pow (sqrt 2.0) 1/3) (/ 1 re)))))))) (- im re) 0 (* -2 re) 2.285 * * [simplify]: iteration 0 : 446 enodes (cost 967 ) 2.293 * * [simplify]: iteration 1 : 1860 enodes (cost 755 ) 2.337 * * [simplify]: iteration 2 : 5001 enodes (cost 703 ) 2.341 * [simplify]: Simplified to: (expm1 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (log1p (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (* (sqrt 2.0) (sqrt (- (hypot re im) re))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (fma 3 (log (cbrt (sqrt 2.0))) (log (sqrt (- (hypot re im) re)))) (pow (exp (sqrt (- (hypot re im) re))) (pow (pow (sqrt 2.0) 1/3) 3)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (* (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))))) (cbrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (* (* 2.0 (pow (sqrt (- (hypot re im) re)) 3)) (sqrt 2.0)) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (sqrt 2.0) (* (sqrt (- (hypot re im) re)) (pow (sqrt 2.0) 2/3)) (* (sqrt (- (pow (hypot re im) 3) (pow re 3))) (pow (pow (sqrt 2.0) 1/3) 3)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (pow (pow (sqrt 2.0) 1/3) 3)) (expm1 (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log1p (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (log (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (exp (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (pow (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) 3) (* (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))))) (cbrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (pow (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) 3) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (sqrt (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re)))) (* (cbrt (sqrt 2.0)) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))))) (* (fabs (cbrt (- (hypot re im) re))) (pow (sqrt 2.0) 1/3)) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (hypot re im)) (sqrt re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (sqrt 2.0)) (sqrt (sqrt (- (hypot re im) re)))) (pow (sqrt 2.0) 1/3) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (cbrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (sqrt (- (pow (hypot re im) 3) (pow re 3)))) (* (cbrt (sqrt 2.0)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (fma (- (* +nan.0 (sqrt 2.0))) (pow im 2) (* (* +nan.0 (sqrt 2.0)) (- im (* im re)))) 0 (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (- (* +nan.0 (pow (sqrt 2.0) 1/3))) (* im re) (* (* +nan.0 (pow (sqrt 2.0) 1/3)) (- (pow im 2) im))) 0 (fma (- +nan.0) (/ (pow (sqrt 2.0) 1/3) (pow re 2)) (* +nan.0 (+ (pow (sqrt 2.0) 1/3) (/ (- (pow (sqrt 2.0) 1/3)) re)))) (- im re) 0 (* -2 re) 2.341 * * * [progress]: adding candidates to table 2.583 * [progress]: [Phase 3 of 3] Extracting. 2.583 * * [regime]: Finding splitpoints for: (# # # # # #) 2.585 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.585 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 2.621 * * * * [regimes]: Trying to branch on im from (# # # # # #) 2.658 * * * * [regimes]: Trying to branch on re from (# # # # # #) 2.689 * * * [regime]: Found split indices: #