2.580 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.034 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.035 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.035 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.173 * [taylor]: Taking taylor expansion of re in im 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.180 * [taylor]: Taking taylor expansion of 1 in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.182 * [taylor]: Taking taylor expansion of 1/2 in im 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.186 * [taylor]: Taking taylor expansion of re in im 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.188 * [taylor]: Taking taylor expansion of im in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.193 * [taylor]: Taking taylor expansion of 1 in im 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of 1/2 in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of 0 in im 0.199 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.199 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.199 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.199 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.199 * [taylor]: Taking taylor expansion of re in im 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.199 * [taylor]: Taking taylor expansion of im in im 0.199 * [taylor]: Taking taylor expansion of re in im 0.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of -1 in im 0.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.205 * [taylor]: Taking taylor expansion of 1/2 in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.209 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.209 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.210 * [taylor]: Taking taylor expansion of re in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.214 * [taylor]: Taking taylor expansion of re in re 0.214 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.214 * [taylor]: Taking taylor expansion of im in re 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.221 * [taylor]: Taking taylor expansion of 1/2 in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of 0 in im 0.226 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.226 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.226 * [taylor]: Taking taylor expansion of re in im 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.229 * [taylor]: Taking taylor expansion of re in re 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.229 * [taylor]: Taking taylor expansion of im in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.229 * [taylor]: Taking taylor expansion of re in re 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.232 * [taylor]: Taking taylor expansion of re in re 0.234 * [taylor]: Taking taylor expansion of 2 in im 0.234 * [taylor]: Taking taylor expansion of 0 in im 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.237 * [taylor]: Taking taylor expansion of 1/2 in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.242 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.242 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.242 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.243 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.243 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.243 * [taylor]: Taking taylor expansion of re in im 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.244 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.247 * [taylor]: Taking taylor expansion of 2.0 in re 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.248 * [taylor]: Taking taylor expansion of re in re 0.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.249 * [taylor]: Taking taylor expansion of 2.0 in re 0.249 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.249 * [taylor]: Taking taylor expansion of im in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.251 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.255 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.255 * [taylor]: Taking taylor expansion of 1/2 in im 0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.274 * [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 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.274 * [taylor]: Taking taylor expansion of 2.0 in im 0.275 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.277 * [taylor]: Taking taylor expansion of re in im 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.279 * [taylor]: Taking taylor expansion of 2.0 in re 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.279 * [taylor]: Taking taylor expansion of im in re 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.286 * [taylor]: Taking taylor expansion of 2.0 in re 0.286 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.286 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.287 * [taylor]: Taking taylor expansion of im in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.296 * [taylor]: Taking taylor expansion of 0 in im 0.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.297 * [taylor]: Taking taylor expansion of +nan.0 in im 0.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.297 * [taylor]: Taking taylor expansion of 2.0 in im 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.304 * [taylor]: Taking taylor expansion of +nan.0 in im 0.304 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.304 * [taylor]: Taking taylor expansion of 2.0 in im 0.304 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.319 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.319 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.319 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.319 * [taylor]: Taking taylor expansion of +nan.0 in im 0.319 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.321 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.321 * [taylor]: Taking taylor expansion of +nan.0 in im 0.321 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.321 * [taylor]: Taking taylor expansion of 2.0 in im 0.321 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 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 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.347 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.347 * [taylor]: Taking taylor expansion of 2.0 in re 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.357 * [taylor]: Taking taylor expansion of +nan.0 in im 0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.357 * [taylor]: Taking taylor expansion of 2.0 in im 0.361 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.361 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.361 * [taylor]: Taking taylor expansion of +nan.0 in im 0.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.361 * [taylor]: Taking taylor expansion of 2.0 in im 0.369 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.369 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.369 * [taylor]: Taking taylor expansion of +nan.0 in im 0.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.369 * [taylor]: Taking taylor expansion of 2.0 in im 0.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.372 * [taylor]: Taking taylor expansion of im in im 0.373 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.373 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.373 * [taylor]: Taking taylor expansion of +nan.0 in im 0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.373 * [taylor]: Taking taylor expansion of 2.0 in im 0.383 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.383 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.383 * [taylor]: Taking taylor expansion of +nan.0 in im 0.383 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.383 * [taylor]: Taking taylor expansion of 2.0 in im 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.384 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.384 * [taylor]: Taking taylor expansion of +nan.0 in im 0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.384 * [taylor]: Taking taylor expansion of 2.0 in im 0.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.396 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.396 * [taylor]: Taking taylor expansion of re in im 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [taylor]: Taking taylor expansion of 1 in im 0.398 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.400 * [taylor]: Taking taylor expansion of im in im 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.401 * [taylor]: Taking taylor expansion of re in im 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.402 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of 1 in im 0.403 * [taylor]: Taking taylor expansion of 0 in im 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.404 * [taylor]: Taking taylor expansion of im in im 0.406 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.410 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.410 * [taylor]: Taking taylor expansion of re in im 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.410 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.411 * [taylor]: Taking taylor expansion of im in re 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.411 * [taylor]: Taking taylor expansion of re in re 0.412 * [taylor]: Taking taylor expansion of 1 in im 0.413 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.414 * [taylor]: Taking taylor expansion of im in im 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.418 * [taylor]: Taking taylor expansion of 0 in im 0.419 * * * [progress]: simplifying candidates 0.421 * [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)) 0.426 * * [simplify]: iteration 0 : 342 enodes (cost 834 ) 0.433 * * [simplify]: iteration 1 : 1366 enodes (cost 586 ) 0.462 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.465 * [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)) 0.466 * * * [progress]: adding candidates to table 0.684 * * [progress]: iteration 2 / 4 0.684 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.703 * * * [progress]: generating rewritten candidates 0.703 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.710 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.733 * * * [progress]: generating series expansions 0.733 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.733 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.733 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.733 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.733 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.733 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.733 * [taylor]: Taking taylor expansion of (* re re) in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of re in im 0.733 * [taylor]: Taking taylor expansion of (* im im) in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.733 * [taylor]: Taking taylor expansion of im in im 0.734 * [taylor]: Taking taylor expansion of re in im 0.734 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.734 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.734 * [taylor]: Taking taylor expansion of (* re re) in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of re in re 0.735 * [taylor]: Taking taylor expansion of (* im im) in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.735 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.736 * [taylor]: Taking taylor expansion of (* re re) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [taylor]: Taking taylor expansion of (* im im) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [taylor]: Taking taylor expansion of im in im 0.738 * [taylor]: Taking taylor expansion of -1 in im 0.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.739 * [taylor]: Taking taylor expansion of 1/2 in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.742 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.743 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.743 * [taylor]: Taking taylor expansion of re in im 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.746 * [taylor]: Taking taylor expansion of re in im 0.746 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.746 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.746 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.746 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.746 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.747 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.749 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.749 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.749 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.750 * [taylor]: Taking taylor expansion of re in re 0.750 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.754 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.757 * [taylor]: Taking taylor expansion of 1/2 in im 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.757 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.763 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.763 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.763 * [taylor]: Taking taylor expansion of -1 in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.763 * [taylor]: Taking taylor expansion of -1 in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.763 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.763 * [taylor]: Taking taylor expansion of -1 in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.764 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.764 * [taylor]: Taking taylor expansion of -1 in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.767 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.767 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of re in re 0.767 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.767 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.767 * [taylor]: Taking taylor expansion of -1 in re 0.767 * [taylor]: Taking taylor expansion of im in re 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.770 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.770 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.770 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.770 * [taylor]: Taking taylor expansion of -1 in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.770 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.770 * [taylor]: Taking taylor expansion of -1 in re 0.770 * [taylor]: Taking taylor expansion of re in re 0.771 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.771 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.771 * [taylor]: Taking taylor expansion of -1 in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.771 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.771 * [taylor]: Taking taylor expansion of -1 in re 0.771 * [taylor]: Taking taylor expansion of im in re 0.773 * [taylor]: Taking taylor expansion of 2 in im 0.774 * [taylor]: Taking taylor expansion of 0 in im 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.777 * [taylor]: Taking taylor expansion of 1/2 in im 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.781 * [taylor]: Taking taylor expansion of 0 in im 0.782 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.783 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.783 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.783 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.783 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.783 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.783 * [taylor]: Taking taylor expansion of (* re re) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [taylor]: Taking taylor expansion of (* im im) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.784 * [taylor]: Taking taylor expansion of re in im 0.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.788 * [taylor]: Taking taylor expansion of 2.0 in re 0.789 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.789 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.789 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.791 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.791 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.791 * [taylor]: Taking taylor expansion of (* re re) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (* im im) in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.791 * [taylor]: Taking taylor expansion of im in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.793 * [taylor]: Taking taylor expansion of 2.0 in re 0.794 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.794 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.794 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.794 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.794 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.794 * [taylor]: Taking taylor expansion of (* re re) in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of re in re 0.794 * [taylor]: Taking taylor expansion of (* im im) in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.794 * [taylor]: Taking taylor expansion of im in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.796 * [taylor]: Taking taylor expansion of 2.0 in im 0.797 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.797 * [taylor]: Taking taylor expansion of im in im 0.800 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.800 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.800 * [taylor]: Taking taylor expansion of 1/2 in im 0.800 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.800 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.800 * [taylor]: Taking taylor expansion of 2.0 in im 0.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.801 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.801 * [taylor]: Taking taylor expansion of im in im 0.819 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.819 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.819 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 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 im 0.819 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.822 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.822 * [taylor]: Taking taylor expansion of re in im 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.823 * [taylor]: Taking taylor expansion of 2.0 in im 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.823 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.823 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.824 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.824 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.831 * [taylor]: Taking taylor expansion of 2.0 in re 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.832 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.832 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.832 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.832 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.840 * [taylor]: Taking taylor expansion of 2.0 in re 0.841 * [taylor]: Taking taylor expansion of 0 in im 0.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.841 * [taylor]: Taking taylor expansion of +nan.0 in im 0.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.841 * [taylor]: Taking taylor expansion of 2.0 in im 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.849 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.849 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.849 * [taylor]: Taking taylor expansion of +nan.0 in im 0.849 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.849 * [taylor]: Taking taylor expansion of 2.0 in im 0.849 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.849 * [taylor]: Taking taylor expansion of im in im 0.864 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.864 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.864 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.864 * [taylor]: Taking taylor expansion of +nan.0 in im 0.864 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.864 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.864 * [taylor]: Taking taylor expansion of 2.0 in im 0.865 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.865 * [taylor]: Taking taylor expansion of im in im 0.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.866 * [taylor]: Taking taylor expansion of +nan.0 in im 0.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.866 * [taylor]: Taking taylor expansion of 2.0 in im 0.867 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.890 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.890 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.890 * [taylor]: Taking taylor expansion of 2.0 in im 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.891 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.891 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.891 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.891 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.891 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.891 * [taylor]: Taking taylor expansion of -1 in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.891 * [taylor]: Taking taylor expansion of -1 in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.891 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.891 * [taylor]: Taking taylor expansion of -1 in im 0.891 * [taylor]: Taking taylor expansion of im in im 0.891 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.891 * [taylor]: Taking taylor expansion of -1 in im 0.892 * [taylor]: Taking taylor expansion of im in im 0.895 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.895 * [taylor]: Taking taylor expansion of 2.0 in re 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.896 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.896 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.896 * [taylor]: Taking taylor expansion of -1 in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of re in re 0.897 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.897 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.897 * [taylor]: Taking taylor expansion of -1 in re 0.897 * [taylor]: Taking taylor expansion of im in re 0.900 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.900 * [taylor]: Taking taylor expansion of 2.0 in re 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.901 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.901 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.901 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.901 * [taylor]: Taking taylor expansion of -1 in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.902 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.902 * [taylor]: Taking taylor expansion of -1 in re 0.902 * [taylor]: Taking taylor expansion of re in re 0.902 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.902 * [taylor]: Taking taylor expansion of -1 in re 0.902 * [taylor]: Taking taylor expansion of im in re 0.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.902 * [taylor]: Taking taylor expansion of -1 in re 0.902 * [taylor]: Taking taylor expansion of im in re 0.906 * [taylor]: Taking taylor expansion of 0 in im 0.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.907 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.907 * [taylor]: Taking taylor expansion of +nan.0 in im 0.907 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.907 * [taylor]: Taking taylor expansion of 2.0 in im 0.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.912 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.912 * [taylor]: Taking taylor expansion of +nan.0 in im 0.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.912 * [taylor]: Taking taylor expansion of 2.0 in im 0.920 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.920 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.920 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.920 * [taylor]: Taking taylor expansion of +nan.0 in im 0.920 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.920 * [taylor]: Taking taylor expansion of 2.0 in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.921 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.921 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.921 * [taylor]: Taking taylor expansion of +nan.0 in im 0.921 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.921 * [taylor]: Taking taylor expansion of 2.0 in im 0.932 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.932 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.932 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.932 * [taylor]: Taking taylor expansion of +nan.0 in im 0.932 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.932 * [taylor]: Taking taylor expansion of 2.0 in im 0.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.933 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.933 * [taylor]: Taking taylor expansion of +nan.0 in im 0.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.933 * [taylor]: Taking taylor expansion of 2.0 in im 0.945 * * * [progress]: simplifying candidates 0.946 * [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)))) (- 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))))))) 0.950 * * [simplify]: iteration 0 : 273 enodes (cost 321 ) 0.955 * * [simplify]: iteration 1 : 1082 enodes (cost 232 ) 0.988 * * [simplify]: iteration 2 : 5001 enodes (cost 228 ) 0.990 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (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)))) (- im re) 0 (* -2 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)))) 0.990 * * * [progress]: adding candidates to table 1.096 * * [progress]: iteration 3 / 4 1.097 * * * [progress]: picking best candidate 1.107 * * * * [pick]: Picked # 1.107 * * * [progress]: localizing error 1.115 * * * [progress]: generating rewritten candidates 1.115 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1) 1.122 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.146 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.158 * * * [progress]: generating series expansions 1.158 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1) 1.158 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 1.158 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.158 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.158 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.158 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.158 * [taylor]: Taking taylor expansion of (* re re) in im 1.158 * [taylor]: Taking taylor expansion of re in im 1.158 * [taylor]: Taking taylor expansion of re in im 1.158 * [taylor]: Taking taylor expansion of (* im im) in im 1.158 * [taylor]: Taking taylor expansion of im in im 1.158 * [taylor]: Taking taylor expansion of im in im 1.159 * [taylor]: Taking taylor expansion of re in im 1.159 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.160 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.160 * [taylor]: Taking taylor expansion of (* re re) in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of (* im im) in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.160 * [taylor]: Taking taylor expansion of im in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.161 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.161 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.161 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.161 * [taylor]: Taking taylor expansion of (* re re) in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.161 * [taylor]: Taking taylor expansion of (* im im) in re 1.161 * [taylor]: Taking taylor expansion of im in re 1.161 * [taylor]: Taking taylor expansion of im in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [taylor]: Taking taylor expansion of im in im 1.163 * [taylor]: Taking taylor expansion of -1 in im 1.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.164 * [taylor]: Taking taylor expansion of 1/2 in im 1.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.164 * [taylor]: Taking taylor expansion of im in im 1.169 * [taylor]: Taking taylor expansion of 0 in im 1.170 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.170 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.170 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.171 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.171 * [taylor]: Taking taylor expansion of re in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.171 * [taylor]: Taking taylor expansion of re in im 1.171 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.173 * [taylor]: Taking taylor expansion of re in im 1.174 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.174 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.174 * [taylor]: Taking taylor expansion of re in re 1.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.174 * [taylor]: Taking taylor expansion of re in re 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.174 * [taylor]: Taking taylor expansion of im in re 1.174 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.174 * [taylor]: Taking taylor expansion of im in re 1.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.177 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.177 * [taylor]: Taking taylor expansion of im in re 1.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.178 * [taylor]: Taking taylor expansion of im in re 1.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.180 * [taylor]: Taking taylor expansion of re in re 1.180 * [taylor]: Taking taylor expansion of 0 in im 1.181 * [taylor]: Taking taylor expansion of 0 in im 1.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.184 * [taylor]: Taking taylor expansion of 1/2 in im 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.184 * [taylor]: Taking taylor expansion of im in im 1.189 * [taylor]: Taking taylor expansion of 0 in im 1.191 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.191 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.191 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.191 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.191 * [taylor]: Taking taylor expansion of -1 in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.191 * [taylor]: Taking taylor expansion of -1 in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.191 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.191 * [taylor]: Taking taylor expansion of -1 in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.191 * [taylor]: Taking taylor expansion of -1 in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.194 * [taylor]: Taking taylor expansion of re in re 1.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.194 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.194 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.194 * [taylor]: Taking taylor expansion of -1 in re 1.194 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.195 * [taylor]: Taking taylor expansion of -1 in re 1.195 * [taylor]: Taking taylor expansion of re in re 1.195 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.195 * [taylor]: Taking taylor expansion of -1 in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.195 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.195 * [taylor]: Taking taylor expansion of -1 in re 1.195 * [taylor]: Taking taylor expansion of im in re 1.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.197 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.198 * [taylor]: Taking taylor expansion of -1 in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.198 * [taylor]: Taking taylor expansion of -1 in re 1.198 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.198 * [taylor]: Taking taylor expansion of -1 in re 1.198 * [taylor]: Taking taylor expansion of im in re 1.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.198 * [taylor]: Taking taylor expansion of -1 in re 1.199 * [taylor]: Taking taylor expansion of im in re 1.201 * [taylor]: Taking taylor expansion of 2 in im 1.202 * [taylor]: Taking taylor expansion of 0 in im 1.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.205 * [taylor]: Taking taylor expansion of 1/2 in im 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.209 * [taylor]: Taking taylor expansion of 0 in im 1.210 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.211 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 1.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 1.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.211 * [taylor]: Taking taylor expansion of 2.0 in im 1.212 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.212 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.212 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.212 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.212 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.212 * [taylor]: Taking taylor expansion of (* re re) in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of re in im 1.212 * [taylor]: Taking taylor expansion of (* im im) in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.212 * [taylor]: Taking taylor expansion of im in im 1.213 * [taylor]: Taking taylor expansion of re in im 1.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.216 * [taylor]: Taking taylor expansion of 2.0 in re 1.217 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.217 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.217 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.217 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.217 * [taylor]: Taking taylor expansion of (* re re) in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of re in re 1.217 * [taylor]: Taking taylor expansion of (* im im) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.218 * [taylor]: Taking taylor expansion of re in re 1.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 1.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.219 * [taylor]: Taking taylor expansion of 2.0 in re 1.220 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.220 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.220 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.220 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.220 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.220 * [taylor]: Taking taylor expansion of (* re re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [taylor]: Taking taylor expansion of (* im im) in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.221 * [taylor]: Taking taylor expansion of re in re 1.222 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.222 * [taylor]: Taking taylor expansion of 2.0 in im 1.223 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.223 * [taylor]: Taking taylor expansion of im in im 1.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.226 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.226 * [taylor]: Taking taylor expansion of 1/2 in im 1.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.226 * [taylor]: Taking taylor expansion of 2.0 in im 1.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.227 * [taylor]: Taking taylor expansion of im in im 1.245 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.245 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.245 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.245 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.245 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.245 * [taylor]: Taking taylor expansion of re in im 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.245 * [taylor]: Taking taylor expansion of re in im 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.246 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.246 * [taylor]: Taking taylor expansion of im in im 1.248 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.248 * [taylor]: Taking taylor expansion of re in im 1.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.249 * [taylor]: Taking taylor expansion of 2.0 in im 1.250 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.250 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.250 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.250 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.250 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.250 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.250 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.250 * [taylor]: Taking taylor expansion of re in re 1.251 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.251 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.251 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.256 * [taylor]: Taking taylor expansion of re in re 1.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.260 * [taylor]: Taking taylor expansion of 2.0 in re 1.261 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.261 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.261 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.261 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.261 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.261 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.261 * [taylor]: Taking taylor expansion of re in re 1.262 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.262 * [taylor]: Taking taylor expansion of im in re 1.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.269 * [taylor]: Taking taylor expansion of 2.0 in re 1.270 * [taylor]: Taking taylor expansion of 0 in im 1.270 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.270 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.270 * [taylor]: Taking taylor expansion of +nan.0 in im 1.270 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.270 * [taylor]: Taking taylor expansion of 2.0 in im 1.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.278 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.278 * [taylor]: Taking taylor expansion of +nan.0 in im 1.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.278 * [taylor]: Taking taylor expansion of 2.0 in im 1.278 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.294 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.294 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.294 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.294 * [taylor]: Taking taylor expansion of +nan.0 in im 1.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.294 * [taylor]: Taking taylor expansion of 2.0 in im 1.294 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.295 * [taylor]: Taking taylor expansion of +nan.0 in im 1.295 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.295 * [taylor]: Taking taylor expansion of 2.0 in im 1.296 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.317 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 1.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 1.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.317 * [taylor]: Taking taylor expansion of 2.0 in im 1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.318 * [taylor]: Taking taylor expansion of re in im 1.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.318 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.318 * [taylor]: Taking taylor expansion of -1 in im 1.318 * [taylor]: Taking taylor expansion of re in im 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.318 * [taylor]: Taking taylor expansion of -1 in im 1.318 * [taylor]: Taking taylor expansion of re in im 1.318 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.318 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.318 * [taylor]: Taking taylor expansion of -1 in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.318 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.318 * [taylor]: Taking taylor expansion of -1 in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.322 * [taylor]: Taking taylor expansion of 2.0 in re 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.323 * [taylor]: Taking taylor expansion of -1 in re 1.323 * [taylor]: Taking taylor expansion of re in re 1.323 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of re in re 1.324 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.324 * [taylor]: Taking taylor expansion of -1 in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.327 * [taylor]: Taking taylor expansion of 2.0 in re 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.328 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.328 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.328 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.328 * [taylor]: Taking taylor expansion of -1 in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.329 * [taylor]: Taking taylor expansion of -1 in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.335 * [taylor]: Taking taylor expansion of 0 in im 1.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.336 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.336 * [taylor]: Taking taylor expansion of +nan.0 in im 1.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.336 * [taylor]: Taking taylor expansion of 2.0 in im 1.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.341 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.341 * [taylor]: Taking taylor expansion of +nan.0 in im 1.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.341 * [taylor]: Taking taylor expansion of 2.0 in im 1.349 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.349 * [taylor]: Taking taylor expansion of +nan.0 in im 1.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.349 * [taylor]: Taking taylor expansion of 2.0 in im 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.351 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.351 * [taylor]: Taking taylor expansion of +nan.0 in im 1.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.351 * [taylor]: Taking taylor expansion of 2.0 in im 1.361 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.361 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.361 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.361 * [taylor]: Taking taylor expansion of +nan.0 in im 1.361 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.361 * [taylor]: Taking taylor expansion of 2.0 in im 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.363 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.363 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.363 * [taylor]: Taking taylor expansion of +nan.0 in im 1.363 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.363 * [taylor]: Taking taylor expansion of 2.0 in im 1.374 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.374 * [approximate]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in (re im) around 0 1.374 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 1.374 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 1.374 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.375 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.375 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.375 * [taylor]: Taking taylor expansion of (* re re) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.375 * [taylor]: Taking taylor expansion of (* im im) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.376 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.379 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.379 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.379 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.379 * [taylor]: Taking taylor expansion of (* re re) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of (* im im) in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 1.381 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 1.381 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.381 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.381 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.381 * [taylor]: Taking taylor expansion of (* re re) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (* im im) in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.382 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.383 * [taylor]: Taking taylor expansion of im in im 1.384 * [taylor]: Taking taylor expansion of (* -1/2 (sqrt (/ 1 im))) in im 1.384 * [taylor]: Taking taylor expansion of -1/2 in im 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.385 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.385 * [taylor]: Taking taylor expansion of im in im 1.391 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 1.391 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 1.391 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.391 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.391 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.391 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.392 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.392 * [taylor]: Taking taylor expansion of im in im 1.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.392 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.396 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.396 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.396 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.396 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.396 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.396 * [taylor]: Taking taylor expansion of im in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 1.404 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.404 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.404 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.404 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.412 * [taylor]: Taking taylor expansion of 0 in im 1.412 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 1.412 * [taylor]: Taking taylor expansion of +nan.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 1.416 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 1.417 * [taylor]: Taking taylor expansion of +nan.0 in im 1.417 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.417 * [taylor]: Taking taylor expansion of im in im 1.429 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 1.429 * [taylor]: Taking taylor expansion of +nan.0 in im 1.429 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 1.429 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 1.429 * [taylor]: Taking taylor expansion of 1/8 in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.429 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.429 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 1.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 1.429 * [taylor]: Taking taylor expansion of +nan.0 in im 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 1.430 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.430 * [taylor]: Taking taylor expansion of im in im 1.451 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in (re im) around 0 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 1.451 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.451 * [taylor]: Taking taylor expansion of re in im 1.451 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.452 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.452 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.452 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.452 * [taylor]: Taking taylor expansion of -1 in im 1.452 * [taylor]: Taking taylor expansion of re in im 1.452 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.452 * [taylor]: Taking taylor expansion of -1 in im 1.452 * [taylor]: Taking taylor expansion of re in im 1.452 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.452 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.452 * [taylor]: Taking taylor expansion of -1 in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.452 * [taylor]: Taking taylor expansion of -1 in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.456 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.456 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.456 * [taylor]: Taking taylor expansion of -1 in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.456 * [taylor]: Taking taylor expansion of -1 in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.457 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.457 * [taylor]: Taking taylor expansion of -1 in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.457 * [taylor]: Taking taylor expansion of -1 in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 1.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.461 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of re in re 1.461 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.461 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.461 * [taylor]: Taking taylor expansion of -1 in re 1.461 * [taylor]: Taking taylor expansion of im in re 1.465 * [taylor]: Taking taylor expansion of 0 in im 1.465 * [taylor]: Taking taylor expansion of +nan.0 in im 1.467 * [taylor]: Taking taylor expansion of +nan.0 in im 1.471 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.471 * [taylor]: Taking taylor expansion of +nan.0 in im 1.471 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.471 * [taylor]: Taking taylor expansion of 1/2 in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.471 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.471 * [taylor]: Taking taylor expansion of im in im 1.472 * [taylor]: Taking taylor expansion of +nan.0 in im 1.477 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.477 * [taylor]: Taking taylor expansion of +nan.0 in im 1.477 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.477 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.478 * [taylor]: Taking taylor expansion of +nan.0 in im 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.478 * [taylor]: Taking taylor expansion of im in im 1.478 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.478 * [taylor]: Taking taylor expansion of +nan.0 in im 1.484 * * * [progress]: simplifying candidates 1.485 * [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) (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)))) (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))) (- 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))))))) (- (+ (* +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))))) 1.490 * * [simplify]: iteration 0 : 338 enodes (cost 590 ) 1.496 * * [simplify]: iteration 1 : 1250 enodes (cost 494 ) 1.524 * * [simplify]: iteration 2 : 5002 enodes (cost 482 ) 1.526 * [simplify]: Simplified to: (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (- (hypot re im) re) (fma (- re) 1 re) (expm1 (- (hypot re im) re)) (log1p (- (hypot re im) re)) (- re) (- re) (- re) (exp (- (hypot re im) re)) (log (- (hypot re im) re)) (exp (- (hypot re im) re)) (* (cbrt (- (hypot re im) re)) (cbrt (- (hypot re im) re))) (cbrt (- (hypot re im) re)) (pow (- (hypot re im) re) 3) (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)) (- (pow (hypot re im) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (fma re re (* (hypot re im) re))) (- re) (- (* (hypot re im) (hypot re im)) (* re re)) (+ (hypot re im) re) (+ (sqrt (hypot re im)) (sqrt re)) (- (sqrt (hypot re im)) (sqrt re)) (- (hypot re im) re) (- re) (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)))) (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))) (- im re) 0 (* -2 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)))) (fma (- im) +nan.0 (* +nan.0 (- (* im re) (pow im 2)))) 0 (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 1.527 * * * [progress]: adding candidates to table 1.724 * * [progress]: iteration 4 / 4 1.724 * * * [progress]: picking best candidate 1.732 * * * * [pick]: Picked # 1.732 * * * [progress]: localizing error 1.742 * * * [progress]: generating rewritten candidates 1.743 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 1.743 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.751 * * * [progress]: generating series expansions 1.751 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 1.751 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in (re im) around 0 1.751 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.751 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.751 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.751 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.751 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.751 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.751 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.751 * [taylor]: Taking taylor expansion of (* re re) in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [taylor]: Taking taylor expansion of (* im im) in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.753 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.753 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.753 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.753 * [taylor]: Taking taylor expansion of (* re re) in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [taylor]: Taking taylor expansion of re in im 1.753 * [taylor]: Taking taylor expansion of (* im im) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.754 * [taylor]: Taking taylor expansion of (- re) in im 1.754 * [taylor]: Taking taylor expansion of re in im 1.754 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.754 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.754 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.754 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.754 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.754 * [taylor]: Taking taylor expansion of (* re re) in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [taylor]: Taking taylor expansion of re in re 1.754 * [taylor]: Taking taylor expansion of (* im im) in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.754 * [taylor]: Taking taylor expansion of im in re 1.755 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.755 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.755 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.756 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.756 * [taylor]: Taking taylor expansion of (* re re) in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [taylor]: Taking taylor expansion of (* im im) in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.756 * [taylor]: Taking taylor expansion of im in re 1.757 * [taylor]: Taking taylor expansion of (- re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.757 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.757 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.757 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.757 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.757 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.757 * [taylor]: Taking taylor expansion of (* re re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [taylor]: Taking taylor expansion of (* im im) in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.757 * [taylor]: Taking taylor expansion of im in re 1.758 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.758 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.758 * [taylor]: Taking taylor expansion of (* re re) in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [taylor]: Taking taylor expansion of (* im im) in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.759 * [taylor]: Taking taylor expansion of (- re) in re 1.759 * [taylor]: Taking taylor expansion of re in re 1.760 * [taylor]: Taking taylor expansion of im in im 1.760 * [taylor]: Taking taylor expansion of -1 in im 1.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.764 * [taylor]: Taking taylor expansion of 1/2 in im 1.764 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.764 * [taylor]: Taking taylor expansion of im in im 1.771 * [taylor]: Taking taylor expansion of 0 in im 1.772 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in (re im) around 0 1.772 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.773 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.773 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.773 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.773 * [taylor]: Taking taylor expansion of re in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.773 * [taylor]: Taking taylor expansion of re in im 1.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.773 * [taylor]: Taking taylor expansion of im in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.773 * [taylor]: Taking taylor expansion of im in im 1.776 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.776 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.777 * [taylor]: Taking taylor expansion of re in im 1.777 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.777 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.777 * [taylor]: Taking taylor expansion of im in im 1.780 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.780 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.780 * [taylor]: Taking taylor expansion of re in im 1.780 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.780 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.781 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.781 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.781 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.781 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.781 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.781 * [taylor]: Taking taylor expansion of re in re 1.781 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.781 * [taylor]: Taking taylor expansion of im in re 1.781 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.781 * [taylor]: Taking taylor expansion of im in re 1.784 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.784 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.784 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.785 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.785 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.785 * [taylor]: Taking taylor expansion of re in re 1.785 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.785 * [taylor]: Taking taylor expansion of im in re 1.785 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.785 * [taylor]: Taking taylor expansion of im in re 1.788 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.788 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.788 * [taylor]: Taking taylor expansion of re in re 1.788 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.789 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.789 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.789 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.789 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.789 * [taylor]: Taking taylor expansion of re in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.789 * [taylor]: Taking taylor expansion of re in re 1.789 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.789 * [taylor]: Taking taylor expansion of im in re 1.789 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.789 * [taylor]: Taking taylor expansion of im in re 1.792 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.792 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.793 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.793 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.793 * [taylor]: Taking taylor expansion of re in re 1.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.793 * [taylor]: Taking taylor expansion of re in re 1.793 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.793 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.793 * [taylor]: Taking taylor expansion of im in re 1.793 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.793 * [taylor]: Taking taylor expansion of im in re 1.796 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.796 * [taylor]: Taking taylor expansion of re in re 1.797 * [taylor]: Taking taylor expansion of 0 in im 1.798 * [taylor]: Taking taylor expansion of -1 in im 1.803 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.803 * [taylor]: Taking taylor expansion of +nan.0 in im 1.812 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.812 * [taylor]: Taking taylor expansion of +nan.0 in im 1.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.820 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.820 * [taylor]: Taking taylor expansion of +nan.0 in im 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.820 * [taylor]: Taking taylor expansion of im in im 1.820 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.820 * [taylor]: Taking taylor expansion of +nan.0 in im 1.823 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in (re im) around 0 1.823 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 1.823 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.823 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 1.823 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.823 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.823 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of re in im 1.823 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.823 * [taylor]: Taking taylor expansion of im in im 1.823 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.823 * [taylor]: Taking taylor expansion of -1 in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.827 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.827 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.827 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.827 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.827 * [taylor]: Taking taylor expansion of -1 in im 1.827 * [taylor]: Taking taylor expansion of re in im 1.827 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.827 * [taylor]: Taking taylor expansion of -1 in im 1.827 * [taylor]: Taking taylor expansion of re in im 1.827 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.827 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.827 * [taylor]: Taking taylor expansion of -1 in im 1.827 * [taylor]: Taking taylor expansion of im in im 1.828 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.828 * [taylor]: Taking taylor expansion of -1 in im 1.828 * [taylor]: Taking taylor expansion of im in im 1.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.831 * [taylor]: Taking taylor expansion of re in im 1.831 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.831 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.831 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.831 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.831 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.831 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.831 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.831 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.831 * [taylor]: Taking taylor expansion of -1 in re 1.831 * [taylor]: Taking taylor expansion of re in re 1.832 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.832 * [taylor]: Taking taylor expansion of -1 in re 1.832 * [taylor]: Taking taylor expansion of re in re 1.832 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.832 * [taylor]: Taking taylor expansion of -1 in re 1.832 * [taylor]: Taking taylor expansion of im in re 1.832 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.832 * [taylor]: Taking taylor expansion of -1 in re 1.832 * [taylor]: Taking taylor expansion of im in re 1.835 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.835 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.835 * [taylor]: Taking taylor expansion of -1 in re 1.835 * [taylor]: Taking taylor expansion of re in re 1.836 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.836 * [taylor]: Taking taylor expansion of -1 in re 1.836 * [taylor]: Taking taylor expansion of re in re 1.836 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.836 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.836 * [taylor]: Taking taylor expansion of -1 in re 1.836 * [taylor]: Taking taylor expansion of im in re 1.836 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.836 * [taylor]: Taking taylor expansion of -1 in re 1.836 * [taylor]: Taking taylor expansion of im in re 1.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.840 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 1.840 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 1.840 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 1.840 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.840 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.840 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.840 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.840 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.840 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.840 * [taylor]: Taking taylor expansion of -1 in re 1.840 * [taylor]: Taking taylor expansion of re in re 1.840 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.840 * [taylor]: Taking taylor expansion of -1 in re 1.840 * [taylor]: Taking taylor expansion of re in re 1.840 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.840 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.840 * [taylor]: Taking taylor expansion of -1 in re 1.840 * [taylor]: Taking taylor expansion of im in re 1.841 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.841 * [taylor]: Taking taylor expansion of -1 in re 1.841 * [taylor]: Taking taylor expansion of im in re 1.844 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.844 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.844 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.844 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.844 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.844 * [taylor]: Taking taylor expansion of -1 in re 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.844 * [taylor]: Taking taylor expansion of -1 in re 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.845 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.845 * [taylor]: Taking taylor expansion of -1 in re 1.845 * [taylor]: Taking taylor expansion of im in re 1.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [taylor]: Taking taylor expansion of 0 in im 1.849 * [taylor]: Taking taylor expansion of 1 in im 1.857 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.857 * [taylor]: Taking taylor expansion of +nan.0 in im 1.865 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.865 * [taylor]: Taking taylor expansion of +nan.0 in im 1.873 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.873 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.873 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.873 * [taylor]: Taking taylor expansion of +nan.0 in im 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.873 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.873 * [taylor]: Taking taylor expansion of im in im 1.874 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.874 * [taylor]: Taking taylor expansion of +nan.0 in im 1.876 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.876 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in (re im) around 0 1.876 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in im 1.876 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in im 1.876 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in im 1.876 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.876 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 1.876 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.876 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.876 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.876 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.876 * [taylor]: Taking taylor expansion of (* re re) in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.877 * [taylor]: Taking taylor expansion of (* im im) in im 1.877 * [taylor]: Taking taylor expansion of im in im 1.877 * [taylor]: Taking taylor expansion of im in im 1.878 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.878 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.878 * [taylor]: Taking taylor expansion of (* re re) in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [taylor]: Taking taylor expansion of (* im im) in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.878 * [taylor]: Taking taylor expansion of im in im 1.879 * [taylor]: Taking taylor expansion of (- re) in im 1.879 * [taylor]: Taking taylor expansion of re in im 1.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.887 * [taylor]: Taking taylor expansion of 2.0 in im 1.887 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.888 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.888 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.888 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.888 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.888 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.888 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.888 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.888 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.888 * [taylor]: Taking taylor expansion of (* re re) in re 1.888 * [taylor]: Taking taylor expansion of re in re 1.888 * [taylor]: Taking taylor expansion of re in re 1.888 * [taylor]: Taking taylor expansion of (* im im) in re 1.888 * [taylor]: Taking taylor expansion of im in re 1.888 * [taylor]: Taking taylor expansion of im in re 1.889 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.889 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.889 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.889 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.889 * [taylor]: Taking taylor expansion of (* re re) in re 1.889 * [taylor]: Taking taylor expansion of re in re 1.889 * [taylor]: Taking taylor expansion of re in re 1.889 * [taylor]: Taking taylor expansion of (* im im) in re 1.889 * [taylor]: Taking taylor expansion of im in re 1.889 * [taylor]: Taking taylor expansion of im in re 1.890 * [taylor]: Taking taylor expansion of (- re) in re 1.890 * [taylor]: Taking taylor expansion of re in re 1.891 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.891 * [taylor]: Taking taylor expansion of 2.0 in re 1.892 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt 2.0)) in re 1.892 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) in re 1.892 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) in re 1.892 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) (- re)) 1.892 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 1.892 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.892 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.892 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.892 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.892 * [taylor]: Taking taylor expansion of (* re re) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.892 * [taylor]: Taking taylor expansion of (* im im) in re 1.892 * [taylor]: Taking taylor expansion of im in re 1.892 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.893 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.893 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.893 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.893 * [taylor]: Taking taylor expansion of (* re re) in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of re in re 1.893 * [taylor]: Taking taylor expansion of (* im im) in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.893 * [taylor]: Taking taylor expansion of im in re 1.894 * [taylor]: Taking taylor expansion of (- re) in re 1.894 * [taylor]: Taking taylor expansion of re in re 1.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.895 * [taylor]: Taking taylor expansion of 2.0 in re 1.896 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.896 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.896 * [taylor]: Taking taylor expansion of 2.0 in im 1.897 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.900 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.900 * [taylor]: Taking taylor expansion of 1/2 in im 1.900 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.900 * [taylor]: Taking taylor expansion of 2.0 in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.919 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in (re im) around 0 1.919 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in im 1.919 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.919 * [taylor]: Taking taylor expansion of 2.0 in im 1.920 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in im 1.920 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in im 1.920 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.920 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 1.920 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.920 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.920 * [taylor]: Taking taylor expansion of re in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.920 * [taylor]: Taking taylor expansion of re in im 1.920 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.920 * [taylor]: Taking taylor expansion of im in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.920 * [taylor]: Taking taylor expansion of im in im 1.924 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.924 * [taylor]: Taking taylor expansion of re in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.924 * [taylor]: Taking taylor expansion of re in im 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.924 * [taylor]: Taking taylor expansion of im in im 1.924 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.924 * [taylor]: Taking taylor expansion of im in im 1.927 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in im 1.927 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.927 * [taylor]: Taking taylor expansion of re in im 1.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.944 * [taylor]: Taking taylor expansion of 2.0 in re 1.945 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.945 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.945 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.945 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.945 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.945 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.945 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.945 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.945 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.945 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.949 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.949 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.949 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.949 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.949 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.949 * [taylor]: Taking taylor expansion of re in re 1.949 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.949 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.949 * [taylor]: Taking taylor expansion of im in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.950 * [taylor]: Taking taylor expansion of im in re 1.953 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))))) in re 1.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.955 * [taylor]: Taking taylor expansion of 2.0 in re 1.955 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re)))) in re 1.955 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (- (/ 1 re))) in re 1.956 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (- (/ 1 re))) 1.956 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 1.956 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.956 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.956 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.956 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.956 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.956 * [taylor]: Taking taylor expansion of im in re 1.957 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.957 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.960 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.960 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.960 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.960 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.963 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.964 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.964 * [taylor]: Taking taylor expansion of re in re 1.966 * [taylor]: Taking taylor expansion of 0 in im 1.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.967 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.967 * [taylor]: Taking taylor expansion of +nan.0 in im 1.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.967 * [taylor]: Taking taylor expansion of 2.0 in im 1.979 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.979 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.979 * [taylor]: Taking taylor expansion of +nan.0 in im 1.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.979 * [taylor]: Taking taylor expansion of 2.0 in im 1.995 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.995 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.995 * [taylor]: Taking taylor expansion of +nan.0 in im 1.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.995 * [taylor]: Taking taylor expansion of 2.0 in im 2.001 * [approximate]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.001 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in im 2.001 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in im 2.001 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in im 2.001 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.001 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 2.001 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.001 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.001 * [taylor]: Taking taylor expansion of -1 in im 2.001 * [taylor]: Taking taylor expansion of re in im 2.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.001 * [taylor]: Taking taylor expansion of -1 in im 2.001 * [taylor]: Taking taylor expansion of re in im 2.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.001 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.002 * [taylor]: Taking taylor expansion of -1 in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.002 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.002 * [taylor]: Taking taylor expansion of -1 in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.005 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.005 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.005 * [taylor]: Taking taylor expansion of -1 in im 2.005 * [taylor]: Taking taylor expansion of re in im 2.006 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.006 * [taylor]: Taking taylor expansion of -1 in im 2.006 * [taylor]: Taking taylor expansion of re in im 2.006 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.006 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.006 * [taylor]: Taking taylor expansion of -1 in im 2.006 * [taylor]: Taking taylor expansion of im in im 2.006 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.006 * [taylor]: Taking taylor expansion of -1 in im 2.006 * [taylor]: Taking taylor expansion of im in im 2.009 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.010 * [taylor]: Taking taylor expansion of re in im 2.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.028 * [taylor]: Taking taylor expansion of 2.0 in im 2.028 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 2.028 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 2.028 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 2.029 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.029 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.029 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.029 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of im in re 2.029 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.029 * [taylor]: Taking taylor expansion of -1 in re 2.029 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.033 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.039 * [taylor]: Taking taylor expansion of 2.0 in re 2.039 * [taylor]: Taking taylor expansion of (* (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) (sqrt 2.0)) in re 2.039 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re))) in re 2.039 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ 1 re)) in re 2.039 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ 1 re)) 2.039 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 2.039 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.039 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.040 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.040 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.040 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.040 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.040 * [taylor]: Taking taylor expansion of -1 in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.040 * [taylor]: Taking taylor expansion of -1 in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.040 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.040 * [taylor]: Taking taylor expansion of -1 in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.040 * [taylor]: Taking taylor expansion of -1 in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.043 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.043 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.044 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.044 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.044 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.044 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.044 * [taylor]: Taking taylor expansion of -1 in re 2.044 * [taylor]: Taking taylor expansion of re in re 2.044 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.044 * [taylor]: Taking taylor expansion of -1 in re 2.044 * [taylor]: Taking taylor expansion of re in re 2.044 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.044 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.044 * [taylor]: Taking taylor expansion of -1 in re 2.044 * [taylor]: Taking taylor expansion of im in re 2.044 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.044 * [taylor]: Taking taylor expansion of -1 in re 2.044 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.048 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.050 * [taylor]: Taking taylor expansion of 2.0 in re 2.050 * [taylor]: Taking taylor expansion of 0 in im 2.052 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.052 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.052 * [taylor]: Taking taylor expansion of +nan.0 in im 2.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.052 * [taylor]: Taking taylor expansion of 2.0 in im 2.064 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.064 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.064 * [taylor]: Taking taylor expansion of +nan.0 in im 2.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.064 * [taylor]: Taking taylor expansion of 2.0 in im 2.081 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.081 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.081 * [taylor]: Taking taylor expansion of +nan.0 in im 2.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.081 * [taylor]: Taking taylor expansion of 2.0 in im 2.087 * * * [progress]: simplifying candidates 2.088 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log1p (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (exp (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (* (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))) (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt 2.0) (sqrt (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)) (sqrt (* 2.0 (+ (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 3) (pow 0 3)))) (sqrt (+ (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (- (* 0 0) (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (* 2.0 (- (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (* 0 0)))) (sqrt (- (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (- im re) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- re +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.091 * * [simplify]: iteration 0 : 192 enodes (cost 304 ) 2.095 * * [simplify]: iteration 1 : 720 enodes (cost 267 ) 2.120 * * [simplify]: iteration 2 : 5001 enodes (cost 251 ) 2.122 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (hypot re im) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (exp 1) (- (hypot re im) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (expm1 (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log1p (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (log (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (exp (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (* (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))))) (cbrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (pow (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0))) 3) (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) (sqrt (* 2.0 (+ (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 3) 0))) (hypot (- (hypot re im) re) 0) (sqrt (* 2.0 (- (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 0))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (sqrt (sqrt (* 2.0 (+ (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 0)))) (- im re) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (+ (- (fma +nan.0 (/ (pow im 2) (pow re 2)) re)) +nan.0) (* (* +nan.0 (sqrt 2.0)) (+ (- (pow im 2)) (- im (* im re)))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ (sqrt 2.0) (pow re 2)) (/ (sqrt 2.0) re)))) 2.122 * * * [progress]: adding candidates to table 2.216 * [progress]: [Phase 3 of 3] Extracting. 2.216 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.219 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.220 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.281 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.327 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.375 * * * [regime]: Found split indices: #