3.540 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.032 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.034 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.037 * * [simplify]: iteration 3 : 29 enodes (cost 15 ) 0.040 * * [simplify]: iteration 4 : 33 enodes (cost 15 ) 0.044 * * [simplify]: iteration done : 33 enodes (cost 15 ) 0.045 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.068 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.109 * [taylor]: Taking taylor expansion of im in im 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.114 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.145 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.145 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of im in im 0.148 * [taylor]: Taking taylor expansion of -1 in im 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.149 * [taylor]: Taking taylor expansion of 1/2 in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.154 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.171 * [taylor]: Taking taylor expansion of 1/2 in im 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.179 * [taylor]: Taking taylor expansion of re in im 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.187 * [taylor]: Taking taylor expansion of 2 in im 0.187 * [taylor]: Taking taylor expansion of 0 in im 0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.190 * [taylor]: Taking taylor expansion of 1/2 in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.196 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.196 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.196 * [taylor]: Taking taylor expansion of 2.0 in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.202 * [taylor]: Taking taylor expansion of 2.0 in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.207 * [taylor]: Taking taylor expansion of 2.0 in im 0.208 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.211 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.211 * [taylor]: Taking taylor expansion of 1/2 in im 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.233 * [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 0.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.234 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.235 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.235 * [taylor]: Taking taylor expansion of re in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.238 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.238 * [taylor]: Taking taylor expansion of 2.0 in re 0.239 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.239 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.239 * [taylor]: Taking taylor expansion of im in re 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.239 * [taylor]: Taking taylor expansion of re in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.250 * [taylor]: Taking taylor expansion of 2.0 in re 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.250 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.253 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.253 * [taylor]: Taking taylor expansion of re in re 0.258 * [taylor]: Taking taylor expansion of 0 in im 0.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.259 * [taylor]: Taking taylor expansion of +nan.0 in im 0.259 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.259 * [taylor]: Taking taylor expansion of 2.0 in im 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.267 * [taylor]: Taking taylor expansion of +nan.0 in im 0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.285 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.285 * [taylor]: Taking taylor expansion of +nan.0 in im 0.285 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.285 * [taylor]: Taking taylor expansion of 2.0 in im 0.286 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.287 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.287 * [taylor]: Taking taylor expansion of +nan.0 in im 0.287 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.287 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.311 * [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 0.311 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.311 * [taylor]: Taking taylor expansion of 2.0 in im 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.312 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.312 * [taylor]: Taking taylor expansion of re in im 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.313 * [taylor]: Taking taylor expansion of re in im 0.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.316 * [taylor]: Taking taylor expansion of 2.0 in re 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.317 * [taylor]: Taking taylor expansion of re in re 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.318 * [taylor]: Taking taylor expansion of im in re 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.318 * [taylor]: Taking taylor expansion of re in re 0.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.321 * [taylor]: Taking taylor expansion of 2.0 in re 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.322 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.323 * [taylor]: Taking taylor expansion of re in re 0.327 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.328 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.328 * [taylor]: Taking taylor expansion of +nan.0 in im 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.328 * [taylor]: Taking taylor expansion of 2.0 in im 0.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.345 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.345 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.345 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.345 * [taylor]: Taking taylor expansion of +nan.0 in im 0.345 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.345 * [taylor]: Taking taylor expansion of 2.0 in im 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.347 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.347 * [taylor]: Taking taylor expansion of +nan.0 in im 0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.347 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.359 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.359 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.359 * [taylor]: Taking taylor expansion of +nan.0 in im 0.359 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.359 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.360 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.360 * [taylor]: Taking taylor expansion of +nan.0 in im 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.373 * * * [progress]: simplifying candidates 0.374 * [simplify]: Simplifying using # : (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)))) (/ (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) (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)))) 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))))))) 0.378 * * [simplify]: iteration 0 : 106 enodes (cost 776 ) 0.396 * * [simplify]: iteration 1 : 232 enodes (cost 671 ) 0.442 * * [simplify]: iteration 2 : 759 enodes (cost 621 )