2.167 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.034 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.037 * * [simplify]: iteration 2 : 23 enodes (cost 15 ) 0.040 * * [simplify]: iteration done : 23 enodes (cost 15 ) 0.040 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.057 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.070 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.086 * [taylor]: Taking taylor expansion of 1/2 in im 0.086 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.101 * [taylor]: Taking taylor expansion of 1 in im 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of 1/2 in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of 1 in im 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.118 * [taylor]: Taking taylor expansion of 1/2 in im 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.122 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.122 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of im in im 0.125 * [taylor]: Taking taylor expansion of 1 in im 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.130 * [taylor]: Taking taylor expansion of re in im 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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.133 * [taylor]: Taking taylor expansion of re in re 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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.136 * [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 0.139 * [taylor]: Taking taylor expansion of 2 in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.155 * [taylor]: Taking taylor expansion of im in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.163 * [taylor]: Taking taylor expansion of 1/2 in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.169 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.169 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.169 * [taylor]: Taking taylor expansion of 2.0 in im 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.170 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.171 * [taylor]: Taking taylor expansion of 2.0 in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.172 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.173 * [taylor]: Taking taylor expansion of 2.0 in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.173 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.175 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.175 * [taylor]: Taking taylor expansion of 2.0 in im 0.176 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.178 * [taylor]: Taking taylor expansion of 1/2 in im 0.178 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.178 * [taylor]: Taking taylor expansion of 2.0 in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.195 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.195 * [taylor]: Taking taylor expansion of 1/8 in im 0.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.195 * [taylor]: Taking taylor expansion of 2.0 in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.196 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.211 * [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 0.212 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.212 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 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)))) in im 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.213 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.213 * [taylor]: Taking taylor expansion of re in im 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.217 * [taylor]: Taking taylor expansion of 2.0 in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.218 * [taylor]: Taking taylor expansion of im in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.218 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.221 * [taylor]: Taking taylor expansion of 2.0 in re 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.223 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.223 * [taylor]: Taking taylor expansion of im in re 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.227 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.228 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.228 * [taylor]: Taking taylor expansion of +nan.0 in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.234 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.234 * [taylor]: Taking taylor expansion of +nan.0 in im 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.234 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.243 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.243 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.243 * [taylor]: Taking taylor expansion of +nan.0 in im 0.243 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.243 * [taylor]: Taking taylor expansion of 2.0 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 (- (* +nan.0 (sqrt 2.0))) in im 0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.244 * [taylor]: Taking taylor expansion of +nan.0 in im 0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.244 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.258 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.258 * [taylor]: Taking taylor expansion of +nan.0 in im 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.258 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [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 0.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.277 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.278 * [taylor]: Taking taylor expansion of re in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.282 * [taylor]: Taking taylor expansion of 2.0 in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.291 * [taylor]: Taking taylor expansion of 2.0 in re 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.292 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.292 * [taylor]: Taking taylor expansion of re in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.309 * [taylor]: Taking taylor expansion of 2.0 in im 0.309 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.325 * [taylor]: Taking taylor expansion of +nan.0 in im 0.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.326 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.326 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.327 * [taylor]: Taking taylor expansion of +nan.0 in im 0.327 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.327 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.351 * * * [progress]: simplifying candidates 0.352 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (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)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.355 * * [simplify]: iteration 0 : 99 enodes (cost 722 ) 0.376 * * [simplify]: iteration 1 : 245 enodes (cost 617 ) 0.424 * * [simplify]: iteration 2 : 711 enodes (cost 569 )