2.473 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.046 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.047 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.048 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.049 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.051 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.052 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.052 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.091 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.127 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.130 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.131 * [taylor]: Taking taylor expansion of 1/2 in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.139 * [taylor]: Taking taylor expansion of im in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.142 * [taylor]: Taking taylor expansion of 1 in im 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of 1/2 in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of 1 in im 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.163 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.163 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of -1 in im 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.184 * [taylor]: Taking taylor expansion of 1/2 in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.184 * [taylor]: Taking taylor expansion of im in im 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.193 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.194 * [taylor]: Taking taylor expansion of re in im 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.202 * [taylor]: Taking taylor expansion of 2 in im 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.205 * [taylor]: Taking taylor expansion of 1/2 in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.211 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of re in im 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.216 * [taylor]: Taking taylor expansion of 2.0 in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.218 * [taylor]: Taking taylor expansion of re in re 0.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.219 * [taylor]: Taking taylor expansion of 2.0 in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.220 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.221 * [taylor]: Taking taylor expansion of 2.0 in im 0.222 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.226 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.226 * [taylor]: Taking taylor expansion of 1/2 in im 0.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.247 * [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 0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.247 * [taylor]: Taking taylor expansion of 2.0 in im 0.248 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.248 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.248 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.248 * [taylor]: Taking taylor expansion of im in im 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.249 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.249 * [taylor]: Taking taylor expansion of re in im 0.251 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.251 * [taylor]: Taking taylor expansion of re in im 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.252 * [taylor]: Taking taylor expansion of 2.0 in re 0.253 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.253 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.253 * [taylor]: Taking taylor expansion of im in re 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.253 * [taylor]: Taking taylor expansion of re in re 0.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.255 * [taylor]: Taking taylor expansion of re in re 0.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.260 * [taylor]: Taking taylor expansion of 2.0 in re 0.261 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.261 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.261 * [taylor]: Taking taylor expansion of im in re 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.269 * [taylor]: Taking taylor expansion of +nan.0 in im 0.269 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.270 * [taylor]: Taking taylor expansion of 2.0 in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.280 * [taylor]: Taking taylor expansion of +nan.0 in im 0.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.281 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.296 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.296 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.296 * [taylor]: Taking taylor expansion of +nan.0 in im 0.296 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.297 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.298 * [taylor]: Taking taylor expansion of +nan.0 in im 0.298 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.298 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.322 * [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 0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.322 * [taylor]: Taking taylor expansion of 2.0 in im 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.323 * [taylor]: Taking taylor expansion of re in im 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.323 * [taylor]: Taking taylor expansion of im in im 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.323 * [taylor]: Taking taylor expansion of re in im 0.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.327 * [taylor]: Taking taylor expansion of 2.0 in re 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.328 * [taylor]: Taking taylor expansion of im in re 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.328 * [taylor]: Taking taylor expansion of re in re 0.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.331 * [taylor]: Taking taylor expansion of 2.0 in re 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.332 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.332 * [taylor]: Taking taylor expansion of im in re 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.333 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.333 * [taylor]: Taking taylor expansion of re in re 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.338 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.338 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.338 * [taylor]: Taking taylor expansion of +nan.0 in im 0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.338 * [taylor]: Taking taylor expansion of 2.0 in im 0.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.343 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.343 * [taylor]: Taking taylor expansion of +nan.0 in im 0.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.343 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.352 * [taylor]: Taking taylor expansion of +nan.0 in im 0.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.353 * [taylor]: Taking taylor expansion of +nan.0 in im 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.367 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.367 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.367 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.367 * [taylor]: Taking taylor expansion of +nan.0 in im 0.367 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.367 * [taylor]: Taking taylor expansion of 2.0 in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.368 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.368 * [taylor]: Taking taylor expansion of +nan.0 in im 0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.368 * [taylor]: Taking taylor expansion of 2.0 in im 0.381 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.382 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.382 * [taylor]: Taking taylor expansion of re in im 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 (+ (pow re 2) (pow im 2)) in re 0.382 * [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 re 2) (pow im 2)) in re 0.382 * [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 0.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.387 * [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 0.388 * [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 0.388 * [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 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.398 * [taylor]: Taking taylor expansion of im in re 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.398 * [taylor]: Taking taylor expansion of re in re 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.399 * [taylor]: Taking taylor expansion of im in re 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.399 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.400 * [taylor]: Taking taylor expansion of 1 in im 0.401 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.404 * [taylor]: Taking taylor expansion of 0 in im 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.408 * * * [progress]: simplifying candidates 0.409 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt 1) (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (sqrt (+ (* re re) (* im im))) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (- re) (- re) (- re) (- re) (- re) (- re) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +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))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.415 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.421 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.449 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.453 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow (exp 1) (hypot re im)) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re im) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (fma (sqrt (cbrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (* -1 re)) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (sqrt (+ (* re re) (* im im))) re)) (log1p (- (sqrt (+ (* re re) (* im im))) re)) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (* -1 re) (exp (- (hypot re im) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (hypot re im) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (hypot re im) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (+ (- (pow re 3)) (pow (hypot re im) 3)) (fma re (+ re (hypot re im)) (fma re re (* im im))) (* -1 re) (+ (pow im 2) 0) (+ re (hypot re im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (hypot re im) re) (* -1 re) (expm1 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma (* (pow im 4) im) im (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +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)))) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.453 * * * [progress]: adding candidates to table 0.676 * * [progress]: iteration 2 / 4 0.676 * * * [progress]: picking best candidate 0.690 * * * * [pick]: Picked # 0.690 * * * [progress]: localizing error 0.701 * * * [progress]: generating rewritten candidates 0.701 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.704 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.714 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.716 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.716 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.716 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.716 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.717 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.717 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.717 * [taylor]: Taking taylor expansion of (* re re) in im 0.717 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [taylor]: Taking taylor expansion of (* im im) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.719 * [taylor]: Taking taylor expansion of re in im 0.719 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.719 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.719 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.719 * [taylor]: Taking taylor expansion of (* re re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (* im im) in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.719 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.720 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.720 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.720 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.720 * [taylor]: Taking taylor expansion of (* re re) in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [taylor]: Taking taylor expansion of (* im im) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [taylor]: Taking taylor expansion of -1 in im 0.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.724 * [taylor]: Taking taylor expansion of 1/2 in im 0.724 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.724 * [taylor]: Taking taylor expansion of im in im 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.728 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.728 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.728 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.729 * [taylor]: Taking taylor expansion of re in im 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.729 * [taylor]: Taking taylor expansion of im in im 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.732 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.732 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.732 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.732 * [taylor]: Taking taylor expansion of re in re 0.733 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.736 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.736 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.744 * [taylor]: Taking taylor expansion of 1/2 in im 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.744 * [taylor]: Taking taylor expansion of im in im 0.749 * [taylor]: Taking taylor expansion of 0 in im 0.750 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.750 * [taylor]: Taking taylor expansion of re in im 0.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.751 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.751 * [taylor]: Taking taylor expansion of -1 in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.751 * [taylor]: Taking taylor expansion of -1 in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.751 * [taylor]: Taking taylor expansion of -1 in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.751 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.751 * [taylor]: Taking taylor expansion of -1 in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.754 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.754 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.754 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.754 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.758 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.758 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.758 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.758 * [taylor]: Taking taylor expansion of -1 in re 0.758 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.759 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.759 * [taylor]: Taking taylor expansion of -1 in re 0.759 * [taylor]: Taking taylor expansion of im in re 0.762 * [taylor]: Taking taylor expansion of 2 in im 0.763 * [taylor]: Taking taylor expansion of 0 in im 0.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.766 * [taylor]: Taking taylor expansion of 1/2 in im 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.770 * [taylor]: Taking taylor expansion of 0 in im 0.772 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.772 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.772 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.772 * [taylor]: Taking taylor expansion of 2.0 in im 0.773 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.773 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.773 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.773 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.773 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.773 * [taylor]: Taking taylor expansion of (* re re) in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of re in im 0.773 * [taylor]: Taking taylor expansion of (* im im) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.774 * [taylor]: Taking taylor expansion of re in im 0.778 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.778 * [taylor]: Taking taylor expansion of 2.0 in re 0.779 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.779 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.779 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.779 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.779 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.779 * [taylor]: Taking taylor expansion of (* re re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [taylor]: Taking taylor expansion of (* im im) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.784 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.784 * [taylor]: Taking taylor expansion of 2.0 in re 0.785 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.785 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.785 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.785 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.785 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.785 * [taylor]: Taking taylor expansion of (* re re) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [taylor]: Taking taylor expansion of (* im im) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.786 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.788 * [taylor]: Taking taylor expansion of 2.0 in im 0.788 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.788 * [taylor]: Taking taylor expansion of im in im 0.792 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.792 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.792 * [taylor]: Taking taylor expansion of 1/2 in im 0.792 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.792 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.792 * [taylor]: Taking taylor expansion of 2.0 in im 0.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.793 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.793 * [taylor]: Taking taylor expansion of im in im 0.813 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.813 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.813 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.813 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.813 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.813 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.813 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.813 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.813 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.813 * [taylor]: Taking taylor expansion of im in im 0.814 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.814 * [taylor]: Taking taylor expansion of im in im 0.817 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.817 * [taylor]: Taking taylor expansion of re in im 0.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.818 * [taylor]: Taking taylor expansion of 2.0 in im 0.819 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.819 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.819 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.819 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.819 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.819 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.819 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.819 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.819 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.819 * [taylor]: Taking taylor expansion of im in re 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.819 * [taylor]: Taking taylor expansion of im in re 0.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.822 * [taylor]: Taking taylor expansion of re in re 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.827 * [taylor]: Taking taylor expansion of 2.0 in re 0.828 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.828 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.828 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.828 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.828 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.828 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.828 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.829 * [taylor]: Taking taylor expansion of re in re 0.829 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.837 * [taylor]: Taking taylor expansion of 2.0 in re 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.838 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.839 * [taylor]: Taking taylor expansion of +nan.0 in im 0.839 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 0.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.839 * [taylor]: Taking taylor expansion of im in im 0.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.847 * [taylor]: Taking taylor expansion of +nan.0 in im 0.847 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.847 * [taylor]: Taking taylor expansion of 2.0 in im 0.848 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.848 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.866 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.867 * [taylor]: Taking taylor expansion of +nan.0 in im 0.867 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.867 * [taylor]: Taking taylor expansion of 2.0 in im 0.867 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.868 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.868 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.868 * [taylor]: Taking taylor expansion of +nan.0 in im 0.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.868 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.869 * [taylor]: Taking taylor expansion of im in im 0.892 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.892 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.892 * [taylor]: Taking taylor expansion of 2.0 in im 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.892 * [taylor]: Taking taylor expansion of re in im 0.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.893 * [taylor]: Taking taylor expansion of re in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.893 * [taylor]: Taking taylor expansion of re in im 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.893 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.893 * [taylor]: Taking taylor expansion of -1 in im 0.893 * [taylor]: Taking taylor expansion of im in im 0.898 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.898 * [taylor]: Taking taylor expansion of 2.0 in re 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.898 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.899 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.899 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.899 * [taylor]: Taking taylor expansion of -1 in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.899 * [taylor]: Taking taylor expansion of -1 in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.899 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.899 * [taylor]: Taking taylor expansion of -1 in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.900 * [taylor]: Taking taylor expansion of -1 in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.903 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.903 * [taylor]: Taking taylor expansion of 2.0 in re 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.904 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.904 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.905 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.905 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.905 * [taylor]: Taking taylor expansion of -1 in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.905 * [taylor]: Taking taylor expansion of -1 in re 0.905 * [taylor]: Taking taylor expansion of re in re 0.905 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.905 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.905 * [taylor]: Taking taylor expansion of -1 in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.905 * [taylor]: Taking taylor expansion of -1 in re 0.905 * [taylor]: Taking taylor expansion of im in re 0.909 * [taylor]: Taking taylor expansion of 0 in im 0.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.911 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.911 * [taylor]: Taking taylor expansion of +nan.0 in im 0.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.911 * [taylor]: Taking taylor expansion of 2.0 in im 0.916 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.916 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.916 * [taylor]: Taking taylor expansion of +nan.0 in im 0.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.916 * [taylor]: Taking taylor expansion of 2.0 in im 0.925 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.925 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.925 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.925 * [taylor]: Taking taylor expansion of +nan.0 in im 0.925 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.925 * [taylor]: Taking taylor expansion of 2.0 in im 0.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.926 * [taylor]: Taking taylor expansion of im in im 0.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.927 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.927 * [taylor]: Taking taylor expansion of +nan.0 in im 0.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.927 * [taylor]: Taking taylor expansion of 2.0 in im 0.938 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.938 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.938 * [taylor]: Taking taylor expansion of +nan.0 in im 0.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.938 * [taylor]: Taking taylor expansion of 2.0 in im 0.939 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.939 * [taylor]: Taking taylor expansion of im in im 0.940 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.940 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.940 * [taylor]: Taking taylor expansion of +nan.0 in im 0.940 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.940 * [taylor]: Taking taylor expansion of 2.0 in im 0.955 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.955 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.955 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.955 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.955 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.955 * [taylor]: Taking taylor expansion of (* re re) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [taylor]: Taking taylor expansion of (* im im) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.956 * [taylor]: Taking taylor expansion of im in im 0.957 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.957 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.957 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.957 * [taylor]: Taking taylor expansion of (* re re) in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [taylor]: Taking taylor expansion of (* im im) in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.958 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.958 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.958 * [taylor]: Taking taylor expansion of (* re re) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [taylor]: Taking taylor expansion of (* im im) in re 0.958 * [taylor]: Taking taylor expansion of im in re 0.958 * [taylor]: Taking taylor expansion of im in re 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [taylor]: Taking taylor expansion of 0 in im 0.961 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.961 * [taylor]: Taking taylor expansion of 1/2 in im 0.961 * [taylor]: Taking taylor expansion of im in im 0.963 * [taylor]: Taking taylor expansion of 0 in im 0.964 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.964 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.964 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.964 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.964 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.964 * [taylor]: Taking taylor expansion of re in im 0.964 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.964 * [taylor]: Taking taylor expansion of re in im 0.964 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.964 * [taylor]: Taking taylor expansion of im in im 0.964 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.964 * [taylor]: Taking taylor expansion of im in im 0.967 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.967 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.967 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.967 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.968 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.971 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.971 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.971 * [taylor]: Taking taylor expansion of im in re 0.974 * [taylor]: Taking taylor expansion of 1 in im 0.974 * [taylor]: Taking taylor expansion of 0 in im 0.976 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.976 * [taylor]: Taking taylor expansion of 1/2 in im 0.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.976 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of 0 in im 0.981 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.981 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.981 * [taylor]: Taking taylor expansion of -1 in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.982 * [taylor]: Taking taylor expansion of -1 in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.985 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.988 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.988 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.988 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.988 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.988 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.988 * [taylor]: Taking taylor expansion of -1 in re 0.988 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.989 * [taylor]: Taking taylor expansion of -1 in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.989 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.989 * [taylor]: Taking taylor expansion of -1 in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.989 * [taylor]: Taking taylor expansion of -1 in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.992 * [taylor]: Taking taylor expansion of 1 in im 0.992 * [taylor]: Taking taylor expansion of 0 in im 0.995 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.995 * [taylor]: Taking taylor expansion of 1/2 in im 0.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.995 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of 0 in im 1.000 * * * [progress]: simplifying candidates 1.000 * [simplify]: Simplifying using # : (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- (* re 1))) (fma (- re) 1 (* re 1)) (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (/ (exp (hypot re im)) (exp re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (* (* (- (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (* (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt 2.0) (sqrt (+ (- (hypot re im) re) 0)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) (pow 0 3)))) (sqrt (+ (* (- (hypot re im) re) (- (hypot re im) re)) (- (* 0 0) (* (- (hypot re im) re) 0)))) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) (* 0 0)))) (sqrt (- (- (hypot re im) re) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 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 (* -1 re) 1.005 * * [simplify]: iteration 0 : 283 enodes (cost 345 ) 1.010 * * [simplify]: iteration 1 : 1118 enodes (cost 247 ) 1.044 * * [simplify]: iteration 2 : 5001 enodes (cost 236 ) 1.046 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 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))) (* -1 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) (* -1 re) (expm1 (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log1p (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (log (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (exp (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (* (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0))))) (cbrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (pow (sqrt (* 2.0 (+ (- (hypot re im) re) 0))) 3) (sqrt 2.0) (sqrt (- (hypot re im) re)) (sqrt (* 2.0 (+ (pow (- (hypot re im) re) 3) 0))) (fabs (- (hypot re im) re)) (sqrt (* 2.0 (- (* (- (hypot re im) re) (- (hypot re im) re)) 0))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (sqrt (sqrt (* 2.0 (+ (- (hypot re im) re) 0)))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (- im re) 0 (* -2 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)))) im re (* -1 re) 1.046 * * * [progress]: adding candidates to table 1.189 * * [progress]: iteration 3 / 4 1.189 * * * [progress]: picking best candidate 1.210 * * * * [pick]: Picked # 1.210 * * * [progress]: localizing error 1.218 * * * [progress]: generating rewritten candidates 1.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.237 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.245 * * * [progress]: generating series expansions 1.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.246 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.246 * [taylor]: Taking taylor expansion of 2.0 in im 1.246 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.246 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.246 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.247 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.247 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.247 * [taylor]: Taking taylor expansion of (* re re) in im 1.247 * [taylor]: Taking taylor expansion of re in im 1.247 * [taylor]: Taking taylor expansion of re in im 1.247 * [taylor]: Taking taylor expansion of (* im im) in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.247 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.252 * [taylor]: Taking taylor expansion of 2.0 in re 1.253 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.253 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.253 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.253 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.253 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.253 * [taylor]: Taking taylor expansion of (* re re) in re 1.253 * [taylor]: Taking taylor expansion of re in re 1.253 * [taylor]: Taking taylor expansion of re in re 1.253 * [taylor]: Taking taylor expansion of (* im im) in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.253 * [taylor]: Taking taylor expansion of im in re 1.254 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.255 * [taylor]: Taking taylor expansion of 2.0 in re 1.255 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.255 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.255 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.256 * [taylor]: Taking taylor expansion of (* re re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.256 * [taylor]: Taking taylor expansion of (* im im) in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of im in re 1.257 * [taylor]: Taking taylor expansion of re in re 1.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.258 * [taylor]: Taking taylor expansion of 2.0 in im 1.259 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.262 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.262 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.262 * [taylor]: Taking taylor expansion of 1/2 in im 1.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.262 * [taylor]: Taking taylor expansion of 2.0 in im 1.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.283 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.283 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.283 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.283 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.283 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.283 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.283 * [taylor]: Taking taylor expansion of re in im 1.283 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.283 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.288 * [taylor]: Taking taylor expansion of 2.0 in im 1.288 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.288 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.288 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.288 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.288 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.288 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.288 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.297 * [taylor]: Taking taylor expansion of 2.0 in re 1.298 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.298 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.298 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.298 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.298 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.298 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.299 * [taylor]: Taking taylor expansion of im in re 1.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.301 * [taylor]: Taking taylor expansion of re in re 1.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.307 * [taylor]: Taking taylor expansion of 2.0 in re 1.308 * [taylor]: Taking taylor expansion of 0 in im 1.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.309 * [taylor]: Taking taylor expansion of +nan.0 in im 1.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.309 * [taylor]: Taking taylor expansion of 2.0 in im 1.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.320 * [taylor]: Taking taylor expansion of +nan.0 in im 1.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.320 * [taylor]: Taking taylor expansion of 2.0 in im 1.321 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.337 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.337 * [taylor]: Taking taylor expansion of +nan.0 in im 1.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.337 * [taylor]: Taking taylor expansion of 2.0 in im 1.337 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.338 * [taylor]: Taking taylor expansion of im in im 1.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.339 * [taylor]: Taking taylor expansion of +nan.0 in im 1.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.339 * [taylor]: Taking taylor expansion of 2.0 in im 1.339 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.362 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.362 * [taylor]: Taking taylor expansion of 2.0 in im 1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.363 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.363 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.363 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.363 * [taylor]: Taking taylor expansion of -1 in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.363 * [taylor]: Taking taylor expansion of -1 in im 1.363 * [taylor]: Taking taylor expansion of re in im 1.363 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.363 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.363 * [taylor]: Taking taylor expansion of -1 in im 1.363 * [taylor]: Taking taylor expansion of im in im 1.364 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.364 * [taylor]: Taking taylor expansion of -1 in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.368 * [taylor]: Taking taylor expansion of 2.0 in re 1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.368 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.369 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.369 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.369 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.369 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.369 * [taylor]: Taking taylor expansion of -1 in re 1.369 * [taylor]: Taking taylor expansion of re in re 1.369 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.369 * [taylor]: Taking taylor expansion of -1 in re 1.369 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.370 * [taylor]: Taking taylor expansion of -1 in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.373 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.374 * [taylor]: Taking taylor expansion of 2.0 in re 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.375 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.375 * [taylor]: Taking taylor expansion of -1 in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of 0 in im 1.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.381 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.381 * [taylor]: Taking taylor expansion of +nan.0 in im 1.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.381 * [taylor]: Taking taylor expansion of 2.0 in im 1.386 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.386 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.386 * [taylor]: Taking taylor expansion of +nan.0 in im 1.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.387 * [taylor]: Taking taylor expansion of 2.0 in im 1.395 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.395 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.395 * [taylor]: Taking taylor expansion of +nan.0 in im 1.395 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.395 * [taylor]: Taking taylor expansion of 2.0 in im 1.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.396 * [taylor]: Taking taylor expansion of im in im 1.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.397 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.397 * [taylor]: Taking taylor expansion of +nan.0 in im 1.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.397 * [taylor]: Taking taylor expansion of 2.0 in im 1.411 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.411 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.411 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.411 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.411 * [taylor]: Taking taylor expansion of 2.0 in im 1.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.412 * [taylor]: Taking taylor expansion of im in im 1.413 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.413 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.413 * [taylor]: Taking taylor expansion of +nan.0 in im 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.413 * [taylor]: Taking taylor expansion of 2.0 in im 1.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.426 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.426 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.426 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.426 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.426 * [taylor]: Taking taylor expansion of (* re re) in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of (* im im) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.427 * [taylor]: Taking taylor expansion of re in im 1.427 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.427 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.427 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.427 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.427 * [taylor]: Taking taylor expansion of (* re re) in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [taylor]: Taking taylor expansion of (* im im) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.428 * [taylor]: Taking taylor expansion of re in re 1.428 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.428 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.429 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.429 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.429 * [taylor]: Taking taylor expansion of (* re re) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [taylor]: Taking taylor expansion of (* im im) in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.429 * [taylor]: Taking taylor expansion of im in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.432 * [taylor]: Taking taylor expansion of 1/2 in im 1.432 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.436 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.436 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.436 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.440 * [taylor]: Taking taylor expansion of re in im 1.440 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.440 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.440 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.440 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.440 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.441 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.441 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.441 * [taylor]: Taking taylor expansion of im in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.444 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.444 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.444 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.444 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.444 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.444 * [taylor]: Taking taylor expansion of re in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.444 * [taylor]: Taking taylor expansion of re in re 1.444 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.444 * [taylor]: Taking taylor expansion of im in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.444 * [taylor]: Taking taylor expansion of im in re 1.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.447 * [taylor]: Taking taylor expansion of re in re 1.448 * [taylor]: Taking taylor expansion of 0 in im 1.449 * [taylor]: Taking taylor expansion of 0 in im 1.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.452 * [taylor]: Taking taylor expansion of 1/2 in im 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.457 * [taylor]: Taking taylor expansion of 0 in im 1.459 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.459 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.459 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.459 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.459 * [taylor]: Taking taylor expansion of -1 in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.459 * [taylor]: Taking taylor expansion of -1 in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.459 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.459 * [taylor]: Taking taylor expansion of -1 in im 1.459 * [taylor]: Taking taylor expansion of im in im 1.459 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.460 * [taylor]: Taking taylor expansion of -1 in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.463 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.463 * [taylor]: Taking taylor expansion of -1 in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.463 * [taylor]: Taking taylor expansion of -1 in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.464 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.464 * [taylor]: Taking taylor expansion of -1 in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.464 * [taylor]: Taking taylor expansion of -1 in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.467 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.467 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.467 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.467 * [taylor]: Taking taylor expansion of -1 in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.467 * [taylor]: Taking taylor expansion of -1 in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.468 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.468 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.468 * [taylor]: Taking taylor expansion of -1 in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.468 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.468 * [taylor]: Taking taylor expansion of -1 in re 1.468 * [taylor]: Taking taylor expansion of im in re 1.471 * [taylor]: Taking taylor expansion of 2 in im 1.471 * [taylor]: Taking taylor expansion of 0 in im 1.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.475 * [taylor]: Taking taylor expansion of 1/2 in im 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.475 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.475 * [taylor]: Taking taylor expansion of im in im 1.479 * [taylor]: Taking taylor expansion of 0 in im 1.481 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.481 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.481 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.481 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.481 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.481 * [taylor]: Taking taylor expansion of (* re re) in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [taylor]: Taking taylor expansion of (* im im) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.482 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.482 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.482 * [taylor]: Taking taylor expansion of (* re re) in re 1.482 * [taylor]: Taking taylor expansion of re in re 1.482 * [taylor]: Taking taylor expansion of re in re 1.485 * [taylor]: Taking taylor expansion of (* im im) in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.485 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.486 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.486 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.486 * [taylor]: Taking taylor expansion of (* re re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [taylor]: Taking taylor expansion of (* im im) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.488 * [taylor]: Taking taylor expansion of im in im 1.488 * [taylor]: Taking taylor expansion of 0 in im 1.489 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.489 * [taylor]: Taking taylor expansion of 1/2 in im 1.489 * [taylor]: Taking taylor expansion of im in im 1.491 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.492 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.492 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.492 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.492 * [taylor]: Taking taylor expansion of re in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.492 * [taylor]: Taking taylor expansion of re in im 1.492 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.492 * [taylor]: Taking taylor expansion of im in im 1.495 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.495 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.495 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.495 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.495 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.499 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.499 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.499 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.499 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.499 * [taylor]: Taking taylor expansion of re in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.499 * [taylor]: Taking taylor expansion of re in re 1.499 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.499 * [taylor]: Taking taylor expansion of im in re 1.499 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.499 * [taylor]: Taking taylor expansion of im in re 1.502 * [taylor]: Taking taylor expansion of 1 in im 1.502 * [taylor]: Taking taylor expansion of 0 in im 1.504 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.504 * [taylor]: Taking taylor expansion of 1/2 in im 1.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.509 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.509 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.509 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.509 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.509 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.509 * [taylor]: Taking taylor expansion of -1 in im 1.510 * [taylor]: Taking taylor expansion of re in im 1.510 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.510 * [taylor]: Taking taylor expansion of -1 in im 1.510 * [taylor]: Taking taylor expansion of re in im 1.510 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.510 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.510 * [taylor]: Taking taylor expansion of -1 in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.510 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.510 * [taylor]: Taking taylor expansion of -1 in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.513 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.513 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.513 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.513 * [taylor]: Taking taylor expansion of -1 in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.513 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.513 * [taylor]: Taking taylor expansion of -1 in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.514 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.514 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.514 * [taylor]: Taking taylor expansion of -1 in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.514 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.514 * [taylor]: Taking taylor expansion of -1 in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.516 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.516 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.517 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of re in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of re in re 1.517 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.517 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.517 * [taylor]: Taking taylor expansion of -1 in re 1.517 * [taylor]: Taking taylor expansion of im in re 1.520 * [taylor]: Taking taylor expansion of 1 in im 1.520 * [taylor]: Taking taylor expansion of 0 in im 1.522 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.523 * [taylor]: Taking taylor expansion of 1/2 in im 1.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.526 * [taylor]: Taking taylor expansion of 0 in im 1.527 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.528 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 1.528 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.528 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.528 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.528 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.528 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.528 * [taylor]: Taking taylor expansion of (* re re) in im 1.528 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of re in im 1.528 * [taylor]: Taking taylor expansion of (* im im) in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.528 * [taylor]: Taking taylor expansion of im in im 1.529 * [taylor]: Taking taylor expansion of re in im 1.533 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.533 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.533 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.533 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.533 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.533 * [taylor]: Taking taylor expansion of (* re re) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [taylor]: Taking taylor expansion of (* im im) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.535 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.535 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.535 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.535 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.535 * [taylor]: Taking taylor expansion of (* re re) in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [taylor]: Taking taylor expansion of (* im im) in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.537 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.537 * [taylor]: Taking taylor expansion of im in im 1.538 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 1.538 * [taylor]: Taking taylor expansion of -1/2 in im 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.538 * [taylor]: Taking taylor expansion of im in im 1.546 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.546 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.546 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.546 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.546 * [taylor]: Taking taylor expansion of im in im 1.546 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.546 * [taylor]: Taking taylor expansion of im in im 1.549 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.549 * [taylor]: Taking taylor expansion of re in im 1.551 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.551 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.554 * [taylor]: Taking taylor expansion of re in re 1.559 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.559 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.559 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.560 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.560 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.571 * [taylor]: Taking taylor expansion of 0 in im 1.571 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.571 * [taylor]: Taking taylor expansion of +nan.0 in im 1.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.576 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.576 * [taylor]: Taking taylor expansion of +nan.0 in im 1.576 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.586 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.586 * [taylor]: Taking taylor expansion of +nan.0 in im 1.587 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.587 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.587 * [taylor]: Taking taylor expansion of 1/8 in im 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.587 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.587 * [taylor]: Taking taylor expansion of im in im 1.587 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.587 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.587 * [taylor]: Taking taylor expansion of +nan.0 in im 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.587 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.587 * [taylor]: Taking taylor expansion of im in im 1.611 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.611 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.611 * [taylor]: Taking taylor expansion of re in im 1.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.611 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.611 * [taylor]: Taking taylor expansion of -1 in im 1.611 * [taylor]: Taking taylor expansion of re in im 1.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.611 * [taylor]: Taking taylor expansion of -1 in im 1.612 * [taylor]: Taking taylor expansion of re in im 1.612 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.612 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.612 * [taylor]: Taking taylor expansion of -1 in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.612 * [taylor]: Taking taylor expansion of -1 in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.616 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.616 * [taylor]: Taking taylor expansion of re in re 1.616 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.617 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.617 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.617 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.617 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.617 * [taylor]: Taking taylor expansion of -1 in re 1.617 * [taylor]: Taking taylor expansion of re in re 1.617 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.617 * [taylor]: Taking taylor expansion of -1 in re 1.617 * [taylor]: Taking taylor expansion of re in re 1.617 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.617 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.617 * [taylor]: Taking taylor expansion of -1 in re 1.617 * [taylor]: Taking taylor expansion of im in re 1.617 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.617 * [taylor]: Taking taylor expansion of -1 in re 1.617 * [taylor]: Taking taylor expansion of im in re 1.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.621 * [taylor]: Taking taylor expansion of re in re 1.622 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.622 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.622 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.622 * [taylor]: Taking taylor expansion of -1 in re 1.622 * [taylor]: Taking taylor expansion of re in re 1.622 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.622 * [taylor]: Taking taylor expansion of -1 in re 1.622 * [taylor]: Taking taylor expansion of re in re 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.623 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.623 * [taylor]: Taking taylor expansion of -1 in re 1.623 * [taylor]: Taking taylor expansion of im in re 1.623 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.623 * [taylor]: Taking taylor expansion of -1 in re 1.623 * [taylor]: Taking taylor expansion of im in re 1.626 * [taylor]: Taking taylor expansion of 0 in im 1.626 * [taylor]: Taking taylor expansion of +nan.0 in im 1.629 * [taylor]: Taking taylor expansion of +nan.0 in im 1.633 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.633 * [taylor]: Taking taylor expansion of +nan.0 in im 1.633 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.633 * [taylor]: Taking taylor expansion of 1/2 in im 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.634 * [taylor]: Taking taylor expansion of +nan.0 in im 1.640 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.640 * [taylor]: Taking taylor expansion of +nan.0 in im 1.640 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.640 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.640 * [taylor]: Taking taylor expansion of +nan.0 in im 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.640 * [taylor]: Taking taylor expansion of im in im 1.641 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.641 * [taylor]: Taking taylor expansion of +nan.0 in im 1.647 * * * [progress]: simplifying candidates 1.651 * [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) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (* (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) (sqrt (- (hypot re im) re))) (sqrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) (sqrt 1) (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) (/ 1 2) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) 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) im re (* -1 re) (- (+ (* +nan.0 im) (- (+ (* +nan.0 (* re im)) (- (* +nan.0 (pow im 2))))))) 0 (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.656 * * [simplify]: iteration 0 : 348 enodes (cost 614 ) 1.662 * * [simplify]: iteration 1 : 1286 enodes (cost 509 ) 1.689 * * [simplify]: iteration 2 : 5001 enodes (cost 488 ) 1.692 * [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) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (- (hypot re im) re) 0 (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (* -1 re) (* -1 re) (* -1 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))) (* -1 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) (* -1 re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (- (hypot re im) re))) (log1p (sqrt (- (hypot re im) re))) (log (sqrt (- (hypot re im) re))) (exp (sqrt (- (hypot re im) re))) (* (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re)))) (cbrt (sqrt (- (hypot re im) re))) (pow (sqrt (- (hypot re im) re)) 3) (fabs (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))) 1 (sqrt (- (hypot re im) re)) (sqrt (+ (sqrt (hypot re im)) (sqrt re))) (sqrt (- (sqrt (hypot re im)) (sqrt re))) 1 (sqrt (- (hypot re im) re)) (sqrt (- (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re)) 1/2 (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) 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) im re (* -1 re) (fma (- im) +nan.0 (* +nan.0 (- (* im re) (pow im 2)))) 0 (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 1.693 * * * [progress]: adding candidates to table 1.926 * * [progress]: iteration 4 / 4 1.926 * * * [progress]: picking best candidate 1.945 * * * * [pick]: Picked # 1.945 * * * [progress]: localizing error 1.957 * * * [progress]: generating rewritten candidates 1.957 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.962 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.972 * * * [progress]: generating series expansions 1.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.972 * [approximate]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in (re im) around 0 1.972 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in im 1.972 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in im 1.972 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in im 1.972 * [taylor]: Taking taylor expansion of 1/3 in im 1.972 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 1.972 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.972 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.972 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.974 * [taylor]: Taking taylor expansion of (* re re) in im 1.975 * [taylor]: Taking taylor expansion of re in im 1.975 * [taylor]: Taking taylor expansion of re in im 1.975 * [taylor]: Taking taylor expansion of (* im im) in im 1.975 * [taylor]: Taking taylor expansion of im in im 1.975 * [taylor]: Taking taylor expansion of im in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.979 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 1.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 1.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 1.979 * [taylor]: Taking taylor expansion of 1/3 in re 1.979 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.979 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.979 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.979 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.979 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.979 * [taylor]: Taking taylor expansion of (* re re) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [taylor]: Taking taylor expansion of (* im im) in re 1.979 * [taylor]: Taking taylor expansion of im in re 1.979 * [taylor]: Taking taylor expansion of im in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 1.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 1.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 1.981 * [taylor]: Taking taylor expansion of 1/3 in re 1.981 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 1.981 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.981 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.981 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.981 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.981 * [taylor]: Taking taylor expansion of (* re re) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.981 * [taylor]: Taking taylor expansion of (* im im) in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.981 * [taylor]: Taking taylor expansion of im in re 1.982 * [taylor]: Taking taylor expansion of re in re 1.983 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.983 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.983 * [taylor]: Taking taylor expansion of 1/3 in im 1.983 * [taylor]: Taking taylor expansion of (log im) in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.985 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 1.985 * [taylor]: Taking taylor expansion of -1/3 in im 1.985 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 1.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 1.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 1.985 * [taylor]: Taking taylor expansion of 1/3 in im 1.985 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.992 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 1.992 * [taylor]: Taking taylor expansion of 1/18 in im 1.992 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.993 * [taylor]: Taking taylor expansion of 1/3 in im 1.993 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.993 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.993 * [taylor]: Taking taylor expansion of im in im 1.995 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in (re im) around 0 1.995 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in im 1.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 1.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 1.995 * [taylor]: Taking taylor expansion of 1/3 in im 1.995 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.995 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.995 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.995 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.995 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.995 * [taylor]: Taking taylor expansion of re in im 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.995 * [taylor]: Taking taylor expansion of re in im 1.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.995 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.995 * [taylor]: Taking taylor expansion of im in im 1.996 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.996 * [taylor]: Taking taylor expansion of im in im 1.998 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.998 * [taylor]: Taking taylor expansion of re in im 1.999 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 1.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 1.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 1.999 * [taylor]: Taking taylor expansion of 1/3 in re 1.999 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.999 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.999 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.000 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.000 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.000 * [taylor]: Taking taylor expansion of re in re 2.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.000 * [taylor]: Taking taylor expansion of re in re 2.000 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.000 * [taylor]: Taking taylor expansion of im in re 2.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.000 * [taylor]: Taking taylor expansion of im in re 2.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.008 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.008 * [taylor]: Taking taylor expansion of 1/3 in re 2.008 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.008 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.008 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.008 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.008 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.008 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.009 * [taylor]: Taking taylor expansion of re in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.009 * [taylor]: Taking taylor expansion of re in re 2.009 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.009 * [taylor]: Taking taylor expansion of im in re 2.009 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.009 * [taylor]: Taking taylor expansion of im in re 2.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.017 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.017 * [taylor]: Taking taylor expansion of 1/3 in im 2.017 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.017 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.018 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.018 * [taylor]: Taking taylor expansion of 1/2 in im 2.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.018 * [taylor]: Taking taylor expansion of (log re) in im 2.018 * [taylor]: Taking taylor expansion of re in im 2.025 * [taylor]: Taking taylor expansion of 0 in im 2.036 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.036 * [taylor]: Taking taylor expansion of -1/12 in im 2.036 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.036 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.036 * [taylor]: Taking taylor expansion of 1/3 in im 2.036 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.036 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.036 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.036 * [taylor]: Taking taylor expansion of 1/2 in im 2.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.036 * [taylor]: Taking taylor expansion of im in im 2.037 * [taylor]: Taking taylor expansion of (log re) in im 2.037 * [taylor]: Taking taylor expansion of re in im 2.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.069 * [taylor]: Taking taylor expansion of 0 in im 2.069 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in (re im) around 0 2.069 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in im 2.069 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.069 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.069 * [taylor]: Taking taylor expansion of 1/3 in im 2.069 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.070 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.070 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.070 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.070 * [taylor]: Taking taylor expansion of -1 in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.070 * [taylor]: Taking taylor expansion of -1 in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.070 * [taylor]: Taking taylor expansion of -1 in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.070 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.070 * [taylor]: Taking taylor expansion of -1 in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.074 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.074 * [taylor]: Taking taylor expansion of 1/3 in re 2.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.074 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.074 * [taylor]: Taking taylor expansion of re in re 2.074 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.075 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.075 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.075 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.075 * [taylor]: Taking taylor expansion of -1 in re 2.075 * [taylor]: Taking taylor expansion of re in re 2.075 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.075 * [taylor]: Taking taylor expansion of -1 in re 2.075 * [taylor]: Taking taylor expansion of re in re 2.075 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.075 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.075 * [taylor]: Taking taylor expansion of -1 in re 2.075 * [taylor]: Taking taylor expansion of im in re 2.075 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.075 * [taylor]: Taking taylor expansion of -1 in re 2.075 * [taylor]: Taking taylor expansion of im in re 2.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.080 * [taylor]: Taking taylor expansion of 1/3 in re 2.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.080 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.080 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.080 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.080 * [taylor]: Taking taylor expansion of -1 in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.081 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.081 * [taylor]: Taking taylor expansion of -1 in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.085 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.085 * [taylor]: Taking taylor expansion of 1/3 in im 2.085 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.085 * [taylor]: Taking taylor expansion of (log 2) in im 2.085 * [taylor]: Taking taylor expansion of 2 in im 2.085 * [taylor]: Taking taylor expansion of (log re) in im 2.085 * [taylor]: Taking taylor expansion of re in im 2.090 * [taylor]: Taking taylor expansion of 0 in im 2.099 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.099 * [taylor]: Taking taylor expansion of 1/12 in im 2.099 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.099 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.099 * [taylor]: Taking taylor expansion of 1/3 in im 2.099 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.099 * [taylor]: Taking taylor expansion of (log 2) in im 2.099 * [taylor]: Taking taylor expansion of 2 in im 2.100 * [taylor]: Taking taylor expansion of (log re) in im 2.100 * [taylor]: Taking taylor expansion of re in im 2.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.101 * [taylor]: Taking taylor expansion of im in im 2.125 * [taylor]: Taking taylor expansion of 0 in im 2.126 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 2.126 * [approximate]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in (re im) around 0 2.126 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in im 2.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in im 2.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in im 2.126 * [taylor]: Taking taylor expansion of 1/3 in im 2.126 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in im 2.126 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.126 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.126 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.126 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.126 * [taylor]: Taking taylor expansion of (* re re) in im 2.126 * [taylor]: Taking taylor expansion of re in im 2.126 * [taylor]: Taking taylor expansion of re in im 2.126 * [taylor]: Taking taylor expansion of (* im im) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.127 * [taylor]: Taking taylor expansion of re in im 2.130 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 2.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 2.130 * [taylor]: Taking taylor expansion of 1/3 in re 2.130 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.130 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.130 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.130 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.130 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.130 * [taylor]: Taking taylor expansion of (* re re) in re 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [taylor]: Taking taylor expansion of re in re 2.130 * [taylor]: Taking taylor expansion of (* im im) in re 2.130 * [taylor]: Taking taylor expansion of im in re 2.130 * [taylor]: Taking taylor expansion of im in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.132 * [taylor]: Taking taylor expansion of (pow (- (hypot re im) re) 1/3) in re 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot re im) re)))) in re 2.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot re im) re))) in re 2.132 * [taylor]: Taking taylor expansion of 1/3 in re 2.132 * [taylor]: Taking taylor expansion of (log (- (hypot re im) re)) in re 2.132 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.132 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.132 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.132 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.132 * [taylor]: Taking taylor expansion of (* re re) in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [taylor]: Taking taylor expansion of (* im im) in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.133 * [taylor]: Taking taylor expansion of re in re 2.134 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 2.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 2.134 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 2.134 * [taylor]: Taking taylor expansion of 1/3 in im 2.134 * [taylor]: Taking taylor expansion of (log im) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.136 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 2.136 * [taylor]: Taking taylor expansion of -1/3 in im 2.136 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 2.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 2.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 2.136 * [taylor]: Taking taylor expansion of 1/3 in im 2.136 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.142 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 2.142 * [taylor]: Taking taylor expansion of 1/18 in im 2.142 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.142 * [taylor]: Taking taylor expansion of 1/3 in im 2.142 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.142 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.142 * [taylor]: Taking taylor expansion of im in im 2.145 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in (re im) around 0 2.145 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in im 2.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 2.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 2.145 * [taylor]: Taking taylor expansion of 1/3 in im 2.145 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 2.145 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.145 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.145 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.145 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.145 * [taylor]: Taking taylor expansion of re in im 2.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.145 * [taylor]: Taking taylor expansion of re in im 2.145 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.145 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.145 * [taylor]: Taking taylor expansion of im in im 2.145 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.145 * [taylor]: Taking taylor expansion of im in im 2.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.148 * [taylor]: Taking taylor expansion of re in im 2.151 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.151 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.151 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.151 * [taylor]: Taking taylor expansion of 1/3 in re 2.151 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.151 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.151 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.152 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.152 * [taylor]: Taking taylor expansion of re in re 2.152 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.152 * [taylor]: Taking taylor expansion of im in re 2.152 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.152 * [taylor]: Taking taylor expansion of im in re 2.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.155 * [taylor]: Taking taylor expansion of re in re 2.160 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3) in re 2.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 2.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 2.160 * [taylor]: Taking taylor expansion of 1/3 in re 2.160 * [taylor]: Taking taylor expansion of (log (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 2.160 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.160 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.160 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.161 * [taylor]: Taking taylor expansion of im in re 2.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.161 * [taylor]: Taking taylor expansion of im in re 2.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.164 * [taylor]: Taking taylor expansion of re in re 2.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.169 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.169 * [taylor]: Taking taylor expansion of 1/3 in im 2.169 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.169 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.169 * [taylor]: Taking taylor expansion of 1/2 in im 2.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.169 * [taylor]: Taking taylor expansion of im in im 2.170 * [taylor]: Taking taylor expansion of (log re) in im 2.170 * [taylor]: Taking taylor expansion of re in im 2.177 * [taylor]: Taking taylor expansion of 0 in im 2.187 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 2.187 * [taylor]: Taking taylor expansion of -1/12 in im 2.187 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 2.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 2.187 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 2.187 * [taylor]: Taking taylor expansion of 1/3 in im 2.187 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 2.187 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 2.187 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.187 * [taylor]: Taking taylor expansion of 1/2 in im 2.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [taylor]: Taking taylor expansion of (log re) in im 2.188 * [taylor]: Taking taylor expansion of re in im 2.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.190 * [taylor]: Taking taylor expansion of im in im 2.218 * [taylor]: Taking taylor expansion of 0 in im 2.218 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in (re im) around 0 2.218 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in im 2.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in im 2.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 2.218 * [taylor]: Taking taylor expansion of 1/3 in im 2.218 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 2.218 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.218 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.218 * [taylor]: Taking taylor expansion of re in im 2.218 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.218 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.218 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.218 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.218 * [taylor]: Taking taylor expansion of -1 in im 2.219 * [taylor]: Taking taylor expansion of re in im 2.219 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.219 * [taylor]: Taking taylor expansion of -1 in im 2.219 * [taylor]: Taking taylor expansion of re in im 2.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.219 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.219 * [taylor]: Taking taylor expansion of -1 in im 2.219 * [taylor]: Taking taylor expansion of im in im 2.219 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.219 * [taylor]: Taking taylor expansion of -1 in im 2.219 * [taylor]: Taking taylor expansion of im in im 2.223 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.223 * [taylor]: Taking taylor expansion of 1/3 in re 2.223 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.223 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.223 * [taylor]: Taking taylor expansion of re in re 2.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.224 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.224 * [taylor]: Taking taylor expansion of -1 in re 2.224 * [taylor]: Taking taylor expansion of re in re 2.224 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.224 * [taylor]: Taking taylor expansion of -1 in re 2.224 * [taylor]: Taking taylor expansion of re in re 2.224 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.224 * [taylor]: Taking taylor expansion of -1 in re 2.224 * [taylor]: Taking taylor expansion of im in re 2.224 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.224 * [taylor]: Taking taylor expansion of -1 in re 2.224 * [taylor]: Taking taylor expansion of im in re 2.229 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3) in re 2.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))))) in re 2.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 2.229 * [taylor]: Taking taylor expansion of 1/3 in re 2.229 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.229 * [taylor]: Taking taylor expansion of re in re 2.229 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 2.229 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.229 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.229 * [taylor]: Taking taylor expansion of -1 in re 2.229 * [taylor]: Taking taylor expansion of re in re 2.229 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.229 * [taylor]: Taking taylor expansion of -1 in re 2.230 * [taylor]: Taking taylor expansion of re in re 2.230 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.230 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.230 * [taylor]: Taking taylor expansion of -1 in re 2.230 * [taylor]: Taking taylor expansion of im in re 2.230 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.230 * [taylor]: Taking taylor expansion of -1 in re 2.230 * [taylor]: Taking taylor expansion of im in re 2.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.234 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.234 * [taylor]: Taking taylor expansion of 1/3 in im 2.234 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.234 * [taylor]: Taking taylor expansion of (log 2) in im 2.234 * [taylor]: Taking taylor expansion of 2 in im 2.237 * [taylor]: Taking taylor expansion of (log re) in im 2.237 * [taylor]: Taking taylor expansion of re in im 2.241 * [taylor]: Taking taylor expansion of 0 in im 2.250 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 2.251 * [taylor]: Taking taylor expansion of 1/12 in im 2.251 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 2.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 2.251 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 2.251 * [taylor]: Taking taylor expansion of 1/3 in im 2.251 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 2.251 * [taylor]: Taking taylor expansion of (log 2) in im 2.251 * [taylor]: Taking taylor expansion of 2 in im 2.251 * [taylor]: Taking taylor expansion of (log re) in im 2.251 * [taylor]: Taking taylor expansion of re in im 2.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.252 * [taylor]: Taking taylor expansion of im in im 2.277 * [taylor]: Taking taylor expansion of 0 in im 2.277 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.277 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) in (re im) around 0 2.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) in im 2.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.277 * [taylor]: Taking taylor expansion of 2.0 in im 2.278 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot re im) re) 1/3)) in im 2.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) in re 2.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.278 * [taylor]: Taking taylor expansion of 2.0 in re 2.279 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot re im) re) 1/3)) in re 2.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) in re 2.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.279 * [taylor]: Taking taylor expansion of 2.0 in re 2.280 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot re im) re) 1/3)) in re 2.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) in im 2.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.281 * [taylor]: Taking taylor expansion of 2.0 in im 2.281 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot re im) re) 1/3)) in im 2.282 * [taylor]: Taking taylor expansion of 0 in im 2.284 * [taylor]: Taking taylor expansion of 0 in im 2.287 * [taylor]: Taking taylor expansion of 0 in im 2.288 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3))) in (re im) around 0 2.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3))) in im 2.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.288 * [taylor]: Taking taylor expansion of 2.0 in im 2.289 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3)) in im 2.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3))) in re 2.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.289 * [taylor]: Taking taylor expansion of 2.0 in re 2.290 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3)) in re 2.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3))) in re 2.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.290 * [taylor]: Taking taylor expansion of 2.0 in re 2.290 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3)) in re 2.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3))) in im 2.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.291 * [taylor]: Taking taylor expansion of 2.0 in im 2.292 * [taylor]: Taking taylor expansion of (fabs (pow (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1/3)) in im 2.293 * [taylor]: Taking taylor expansion of 0 in im 2.295 * [taylor]: Taking taylor expansion of 0 in im 2.298 * [taylor]: Taking taylor expansion of 0 in im 2.299 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3))) in (re im) around 0 2.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3))) in im 2.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.299 * [taylor]: Taking taylor expansion of 2.0 in im 2.300 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3)) in im 2.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3))) in re 2.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.300 * [taylor]: Taking taylor expansion of 2.0 in re 2.301 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3)) in re 2.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3))) in re 2.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.301 * [taylor]: Taking taylor expansion of 2.0 in re 2.301 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3)) in re 2.302 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3))) in im 2.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.302 * [taylor]: Taking taylor expansion of 2.0 in im 2.303 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) 1/3)) in im 2.304 * [taylor]: Taking taylor expansion of 0 in im 2.306 * [taylor]: Taking taylor expansion of 0 in im 2.309 * [taylor]: Taking taylor expansion of 0 in im 2.310 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 2.310 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 2.310 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 2.310 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.310 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.310 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.310 * [taylor]: Taking taylor expansion of (* re re) in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [taylor]: Taking taylor expansion of (* im im) in im 2.310 * [taylor]: Taking taylor expansion of im in im 2.310 * [taylor]: Taking taylor expansion of im in im 2.311 * [taylor]: Taking taylor expansion of re in im 2.311 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.311 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.311 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.311 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.311 * [taylor]: Taking taylor expansion of (* re re) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [taylor]: Taking taylor expansion of (* im im) in re 2.311 * [taylor]: Taking taylor expansion of im in re 2.311 * [taylor]: Taking taylor expansion of im in re 2.312 * [taylor]: Taking taylor expansion of re in re 2.312 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 2.312 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.313 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.313 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.313 * [taylor]: Taking taylor expansion of (* re re) in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [taylor]: Taking taylor expansion of (* im im) in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [taylor]: Taking taylor expansion of im in im 2.315 * [taylor]: Taking taylor expansion of -1 in im 2.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.316 * [taylor]: Taking taylor expansion of 1/2 in im 2.316 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.316 * [taylor]: Taking taylor expansion of im in im 2.319 * [taylor]: Taking taylor expansion of 0 in im 2.320 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 2.320 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 2.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.321 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.321 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.321 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.321 * [taylor]: Taking taylor expansion of re in im 2.321 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.321 * [taylor]: Taking taylor expansion of re in im 2.321 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.321 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.321 * [taylor]: Taking taylor expansion of im in im 2.321 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.321 * [taylor]: Taking taylor expansion of im in im 2.326 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.327 * [taylor]: Taking taylor expansion of re in im 2.327 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.330 * [taylor]: Taking taylor expansion of re in re 2.330 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 2.330 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.331 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.331 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.331 * [taylor]: Taking taylor expansion of im in re 2.331 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.331 * [taylor]: Taking taylor expansion of im in re 2.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.334 * [taylor]: Taking taylor expansion of re in re 2.335 * [taylor]: Taking taylor expansion of 0 in im 2.335 * [taylor]: Taking taylor expansion of 0 in im 2.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.339 * [taylor]: Taking taylor expansion of 1/2 in im 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.344 * [taylor]: Taking taylor expansion of 0 in im 2.345 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 2.345 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.345 * [taylor]: Taking taylor expansion of re in im 2.345 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.346 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of re in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of re in im 2.346 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of im in im 2.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.346 * [taylor]: Taking taylor expansion of -1 in im 2.346 * [taylor]: Taking taylor expansion of im in im 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.349 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.349 * [taylor]: Taking taylor expansion of re in re 2.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.349 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of re in re 2.350 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.350 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.350 * [taylor]: Taking taylor expansion of -1 in re 2.350 * [taylor]: Taking taylor expansion of im in re 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 2.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.353 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.354 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.354 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of re in re 2.354 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.354 * [taylor]: Taking taylor expansion of im in re 2.354 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.354 * [taylor]: Taking taylor expansion of -1 in re 2.355 * [taylor]: Taking taylor expansion of im in re 2.357 * [taylor]: Taking taylor expansion of 2 in im 2.358 * [taylor]: Taking taylor expansion of 0 in im 2.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.361 * [taylor]: Taking taylor expansion of 1/2 in im 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.361 * [taylor]: Taking taylor expansion of im in im 2.366 * [taylor]: Taking taylor expansion of 0 in im 2.368 * * * [progress]: simplifying candidates 2.369 * [simplify]: Simplifying using # : (expm1 (cbrt (- (hypot re im) re))) (log1p (cbrt (- (hypot re im) re))) (log (cbrt (- (hypot re im) re))) (exp (cbrt (- (hypot re im) re))) (cbrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (expm1 (cbrt (- (hypot re im) re))) (log1p (cbrt (- (hypot re im) re))) (log (cbrt (- (hypot re im) re))) (exp (cbrt (- (hypot re im) re))) (cbrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) (cbrt 1) (cbrt (- (hypot re im) re)) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (* (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (expm1 (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (log1p (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (+ (log (fabs (cbrt (- (hypot re im) re)))) (log (sqrt 2.0))) (log (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (exp (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (* (* (fabs (cbrt (- (hypot re im) re))) (fabs (cbrt (- (hypot re im) re)))) (fabs (cbrt (- (hypot re im) re)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)))) (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (* (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (sqrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (sqrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 1)) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) 1) (* (cbrt (fabs (cbrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt 2.0)) (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)) (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) (- (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (exp (* 1/3 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im)))))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) (- (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3)))) (exp (* 1/3 (- (+ (log (/ 1 re)) (log 1/2)) (* 2 (log (/ 1 im)))))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (- im re) 0 (* -2 re) 2.374 * * [simplify]: iteration 0 : 300 enodes (cost 699 ) 2.379 * * [simplify]: iteration 1 : 970 enodes (cost 587 ) 2.400 * * [simplify]: iteration 2 : 4769 enodes (cost 564 ) 2.489 * * [simplify]: iteration 3 : 5001 enodes (cost 563 ) 2.492 * [simplify]: Simplified to: (expm1 (cbrt (- (hypot re im) re))) (log1p (cbrt (- (hypot re im) re))) (log (cbrt (- (hypot re im) re))) (exp (cbrt (- (hypot re im) re))) (cbrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) 1 (pow (- (hypot re im) re) 1/3) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) 1 (pow (- (hypot re im) re) 1/3) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (- (hypot re im) re) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (expm1 (cbrt (- (hypot re im) re))) (log1p (cbrt (- (hypot re im) re))) (log (cbrt (- (hypot re im) re))) (exp (cbrt (- (hypot re im) re))) (cbrt (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) (cbrt (sqrt (- (hypot re im) re))) 1 (pow (- (hypot re im) re) 1/3) (cbrt (+ (sqrt (hypot re im)) (sqrt re))) (cbrt (- (sqrt (hypot re im)) (sqrt re))) 1 (pow (- (hypot re im) re) 1/3) (cbrt (- (pow (hypot re im) 3) (pow re 3))) (cbrt (+ (* (hypot re im) (hypot re im)) (+ (* re re) (* (hypot re im) re)))) (cbrt (- (* (hypot re im) (hypot re im)) (* re re))) (cbrt (+ (hypot re im) re)) (* (cbrt (cbrt (- (hypot re im) re))) (cbrt (cbrt (- (hypot re im) re)))) (cbrt (cbrt (- (hypot re im) re))) (- (hypot re im) re) (sqrt (cbrt (- (hypot re im) re))) (sqrt (cbrt (- (hypot re im) re))) (expm1 (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (log1p (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (log (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (log (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (exp (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (pow (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) 3) (* (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0)))) (cbrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (pow (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) 3) (sqrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (sqrt (* (fabs (cbrt (- (hypot re im) re))) (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt (sqrt 2.0))) (* (fabs (cbrt (- (hypot re im) re))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (fabs (cbrt 2.0)) (fabs (cbrt (- (hypot re im) re)))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (fabs (cbrt (- (hypot re im) re))) (* (fabs (cbrt (- (hypot re im) re))) (sqrt (sqrt 2.0))) (fabs (cbrt (- (hypot re im) re))) (* (cbrt (fabs (cbrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt (fabs (cbrt (- (hypot re im) re)))) (sqrt 2.0)) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- re re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- re re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re 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)) (pow (- (hypot re im) re) 2/3) (pow (- (hypot re im) re) 1/3) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (hypot re im) re) (pow re 2)) (- 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 (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (- (pow im 1/3) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))))) (pow (exp 1/3) (fma (- (log (/ 1 im))) 2 (- (log 1/2) (log re)))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (- (pow im 1/3) (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))))) (pow (exp 1/3) (fma (- (log (/ 1 im))) 2 (- (log 1/2) (log re)))) (exp (* 1/3 (- (log 2) (log (/ -1 re))))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (* (sqrt 2.0) (fabs (pow (- (hypot re im) re) 1/3))) (- im re) 0 (* -2 re) 2.493 * * * [progress]: adding candidates to table 2.805 * [progress]: [Phase 3 of 3] Extracting. 2.805 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.808 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.808 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.871 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.925 * * * [regime]: Found split indices: #